We provide mechanical properties of fluids practice exercises, instructions, and a learning material that allows learners to study outside of the classroom. We focus on mechanical properties of fluids skills mastery so, below you will get all questions that are also asking in the competition exam beside that classroom.

#### List of mechanical properties of fluids Questions

Question No | Questions | Class |
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1 | A tube one metre long is filled with liquid of mass ( 1 k g ). The tube is closed at both the ends and is revolved about one end in a horizontal plane at 2 rev / ( s ) The force experienced by the lid at the other lid is A ( cdot 4 pi^{2} N ) B. ( 8 pi^{2} N ) ( mathbf{c} cdot 16 pi^{2} N ) D. ( 9.8 N ) | 11 |

2 | Fill in the blank The common water pump works on the principle that atmosphere exerts A. Torceilian B. pressure c. sea level D. none | 11 |

3 | Assertion A raindrop after falling through some height attains a constant velocity Reason At constant velocity, the viscous drag is just equal to its weight. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct | 11 |

4 | In the figure shown, cylinder’A’ has pump piston, whereas ( mathrm{B} ) and ( mathrm{C} ) cylinders have lift pistons. If the maximum weight that can be placed on the pump piston is 50 kgwt what is the maximum weight that can be lifted by the piston in the cylinder’B’. Find the total mechanical advantage. (Take ( boldsymbol{g}= ) ( left.10 m s^{-2}right) ) | 11 |

5 | The material of a wire has a density of ( 1.4 mathrm{g} / mathrm{cm}^{3} . ) If it is not wetted by a liquid of surface tension 44 dyne/cm, then the maximum radius of the wire which can float on the surface of liquid is : A ( cdot frac{10}{28} mathrm{cm} ) в. ( frac{10}{14} mathrm{cm} ) c. ( frac{10}{7} m m ) D. 0.7 cm | 11 |

6 | By blowing between two balloons hanging close to each other you observe that come closer. A similar phenomenon is seen in A. the lifting of an aeroplane. B. kite flying c. the lifting of balloon filled with D. take off of rocket | 11 |

7 | A force of ( 50 k g f ) is applied to the smaller piston of a hydraulic machine. Neglecting friction, The force exerted on the large piston, if the diameters of the piston are ( 5 c m ) and ( 25 c m ) respectively is ( ^{prime} X^{prime} N . ) Find ( frac{X}{250} ) | 11 |

8 | A liquid does not wet the surface of a solid if the angle of contact is A. zero B. An acute one ( c cdot 45^{circ} ) D. An obtuse one | 11 |

9 | A hammer exerts a force of 1.5 N on each of the two nails ( A ) and ( B ). The area of cross section of tip of nail is ( 2 m m^{2} ) while that of nail ( mathrm{B} ) is ( 6 mathrm{mm}^{2} ). Calculate pressure on each nail in pascal. | 11 |

10 | A uniform solid ball of density ( d ) and of radius ( r ) is moving vertically downward inside a viscous liquid (density ( =frac{d}{6} & ) coefficient of viscosity ( =eta ) ) with an acceleration of ( g / 2 ) at an instant. Speed of the ball at this instant is A ( cdot frac{1}{6} frac{r^{2} g d}{eta} ) В. ( frac{5}{27} frac{r^{2} g d}{eta} ) C ( frac{2}{27} frac{r^{2} g d}{eta} ) D. ( frac{2}{9} frac{r^{2} g d}{eta} ) | 11 |

11 | The Magnus effect is equivalent to: A . electric field B. magnetic field. c. Bernoulli’s theorem. D. magnetic effect of current. | 11 |

12 | manometer M as shown. The stopcock S controls the flow of air ( A B ) is dipped into a liquid whose surface tension is ( sigma . ) On opening the stopcock for a while a bubble is formed at ( mathrm{B} ) and the manometer level is recorded showing a difference h in the levels in the two arms if ( P ) be the density of manometer liquid and ( r ) the radius of curvature of the bubble then the surface tension ( sigma ) of the liquid is given by ( mathbf{A} cdot rho h r g ) B. 2 phrg c. 4 phrg D. ( frac{r h rho g}{4} ) | 11 |

13 | When one drop of a liquid is broken into number of droplets, which of the statement is correct? A. Surface area decreases B. Surface energy decreases c. Temperature of liquid increases D. Surface area increases | 11 |

14 | A thin uniform tube is bent into a circle of radius ( r ) in the vertical plane. Equal volumes of two immiscible liquids, whose densities are ( rho_{1} ) and ( rho_{2}left(rho_{1}>rho_{2}right) ) fill half the circle. The angle ( theta ) between the radius vector passing through the common interface and the vertical is: ( boldsymbol{theta}=tan ^{-1}left[frac{pi}{2}left(frac{rho_{1}-rho_{2}}{rho_{1}+rho_{2}}right)right] ) B. ( quad theta=tan ^{-1} frac{pi}{2}left(frac{rho_{1}-rho_{2}}{rho_{1}+rho_{2}}right) ) ( ^{mathrm{C}} theta=tan ^{-1} pileft(frac{rho_{1}}{rho_{2}}right) ) D. None of above | 11 |

15 | sin the sind uniform cross section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity ( omega, ) then A. Water levels in both sections A and B go up B. Water level in section A goes up and that in B comes down c. water level in section A comes down and that in B it goes up D. Water levels remain same in both sections | 11 |

16 | At a depth of ( 1000 mathrm{m} ) in an ocean, what is the absolute pressure? Given density of sea water is ( 1.03 times 10^{3} k g m^{-3}, g= ) ( 10 m s^{-2} ) A. 104 atm B. 100 atm c. 108 atm D. 110 atm | 11 |

17 | If ( eta ) represents the coefficient of viscosity and ( T ) the surface tension, then the dimension of ( frac{T}{eta} ) is same as that of : This question has multiple correct options A. length B. mass c. velocity D. speedd | 11 |

18 | Eight drops of water, each of radius 2 ( mathrm{mm} ) are falling through air at a terminal velocity of ( 8 c m s^{-1} . ) If they coalesce to form a single drop, then the terminal velocity of combined drop will be: A ( .32 mathrm{cms}^{-1} ) B. ( 30 mathrm{cms}^{-1} ) c. ( 28 mathrm{cms}^{-1} ) D. ( 24 mathrm{cms}^{-1} ) | 11 |

19 | If pressure at the half depth of a lake is equal to ( frac{3}{4} ) times the pressure at its bottom, then find the depth of the lake. [Take ( left.g=10 m / s^{2}right] ) A. ( frac{P_{0}}{rho g} ) в. ( frac{2 P_{0}}{rho g} ) c. ( frac{P_{0}}{2 rho g g} ) D. ( frac{3 P_{0}}{rho g} ) | 11 |

20 | If the terminal speed of a sphere of gold (density ( left.=19.5 quad k g / m^{3}right) ) is ( 0.2 m / s ) in a viscous liquid (density ( =1.5 quad k g / m^{3} ) ), find the terminal speed of a sphere of silver (density ( left.=10.5 quad k g / m^{3}right) ) of the same size in the same liquid. A. ( 0.4 m / s ) в. ( 0.133 mathrm{m} / mathrm{s} ) c. ( 0.1 m / s ) D. ( 0.2 m / s ) | 11 |

21 | A ( 300,000 k g ) commercial airlines is flying through the air with ( 150,000 N ) of thrust. For airplanes traveling at high speeds, | 11 |

22 | A parallel narrow beam of light travelling through water in a container incident on an air bubble of radius 8 mm. What be the distance of image obtained due to refraction of beam on first face of air bubble from the centre of bubble? ( quadleft(text { take } mu_{w a t e r}=frac{4}{3}right) ) ( mathbf{A} cdot 17.2 mathrm{mm} ) B. 32 mm c. ( 41.5 mathrm{mm} ) D. 25.75 mm | 11 |

23 | A vessel contains oil (density = ( 0.8 g / c m^{3} ) ) over mercury (density ( = ) ( left.13.6 g / c m^{3}right) . ) A uniform sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of sphere in ( boldsymbol{g} / boldsymbol{c m}^{3} ) is A . 3.3 B. 6.4 c. 7.2 D. 12.8 | 11 |

24 | A cylindrical tank stands on a frictionless surface.The seal over a circular hole of radius ( 0.5 mathrm{cm} ) in the wall of the tank ruptures when the level of water above the hole is 1 metre. The force that a person must apply on the cylinder to keep it from being set in motion is A . ( 1.54 times 10^{-3} N ) forward B . ( 1.54 times 10^{-3} N ) backward c. ( 1.54 N ) forward D. ( 1.54 N ) backward | 11 |

25 | A tank, which is open at the top, contains a liquid up to a height ( boldsymbol{H} . mathbf{A} ) small hole is made in the side of a tank at a distance y below the liquid surface. The liquid emerging from the hole lands at a distance ( x ) from the tank. his question has multiple correct options A. If ( y ) is increased from zero to ( H, x ) will first increase and then decrease B. x is maximum for ( y=H / 2 ). c. The maximum value of ( x ) is ( H ) D. The maximum value of ( x ) will depend on the density of the density of the liquid. | 11 |

26 | In a wind tunnel experiment, the pressures on the upper and lower surfaces of the wings are ( 0.90 times 10^{5} ) Pa and ( 0.91 times 10^{5} ) Pa respectively. If the area of the wing is ( 40 mathrm{m}^{2} ) the net lifting force on the wing is A ( cdot 2 times 10^{4} mathrm{N} ) B. ( 4 times 10^{4} mathrm{N} ) c. ( 6 times 10^{4} mathrm{N} ) D. ( 8 times 10^{4} mathrm{N} ) | 11 |

27 | Several spherical drops of a liquid of radius coalesce to form a single drop to radius ( R ). If the surface tension and ( V ) is volume and ( r ) consideration, then the release of energy is : ( ^{mathbf{A}} cdot_{3 V T}left(frac{1}{r}+frac{1}{R}right) ) B. ( quad 3 V Tleft(frac{1}{r}-frac{1}{R}right) ) ( ^{mathrm{c}} cdot_{V T}left(frac{1}{r}-frac{1}{R}right) ) D. ( V Tleft(frac{1}{r^{2}}+frac{1}{R^{2}}right) ) | 11 |

28 | ( n ) drops of water, each of radius ( 2 m m ) fall through air at a terminal velocity of ( 8 mathrm{cm} / mathrm{s} ). If they coalesce to form a single drop, then the terminal velocity of the combined drop is ( 32 mathrm{cm} / mathrm{s} ). The value of ( n ) is | 11 |

29 | The incident intensity on a horizontal surface at sea level from the sun is about ( 1 k W m^{-2} ). Find the ratio of this pressure to atmospheric pressure ( boldsymbol{p}_{0} ) (about ( left.1 times 10^{5} P aright) ) at sea level. [Assuming that ( 50 % % ) of this intensity is reflected and ( 50 % % text { is absorbed }] ) A ( .5 times 10^{-11} ) B. ( 4 times 10^{-8} ) c. ( 6 times 10^{-12} ) D. ( 8 times 10^{-11} ) | 11 |

30 | Liquids can flow. Why? We can keep a gas in an open container. Do you agree? Given reason. | 11 |

31 | Two table tennis ball are suspended by threads at same height and separated by a distance of ( 15 mathrm{cm} . ) A steam of air injected in between them continuously, then the ball will be A. Repel each other B. Come closer c. Not move at all D. oscillate to and fro | 11 |

32 | A water tank of height ( 10 m, ) completely filled with water is placed on a level ground. It has two holes one at ( 3 m ) and the other at ( 7 m ) from its base. The water ejecting from: A. both the holes will fall at the same spot B. upper hole will fall farther than that from the lower hole c. upper hole will fall closer than that from the lower hole D. more information is required | 11 |

33 | The hydraulic press shown in the figure is used to raise the mass ( M ) through a height of ( 0.5 mathrm{cm} ) by performing ( 500 mathrm{J} ) of work at the small piston. The diameter of the large piston is ( 10 mathrm{cm} ), while that of the smaller one is ( 2 c m ). The mass ( M ) is A. ( 100 k g ) В. ( 10^{6} k g ) ( mathbf{c} cdot 10^{3} k g ) D. None of these | 11 |

34 | Water is flowing through a very narrow tube. The velocity of water below which the flow remains a streamline flow is known as: A. relative velocity B. terminal velocity c. critical velocity D. particle velocity | 11 |

35 | The temperature of water at the bottom of a large waterfall is higher than that of the water at the top, because A. the falling water absorbs heat from the sun B. the KE of the falling water is converted into heat c. the water at the bottom has greater PE D. rocks on the bed of the river give out heat | 11 |

36 | What is the gauge pressure at the water mercury interface? | 11 |

37 | Eight small drops, each of radius ( r ) and having same charge ( q ) are combined to form a big drop. The ratio between the potentials of the bigger drop and the smaller drop is A . 8: 1 B . 4: 1 c. 2: 1 D. 1: 8 | 11 |

38 | The weight of a rider, driving scooter is assumed to be evenly distributed on both the tyres. The area of contact of each tyre with the ground is ( 10 mathrm{cm}^{2} ). If the pressure inside the tyres is 2 bar, find the mass of the rider. ( (boldsymbol{g}= ) ( left.10 m s^{-2}right) ) A. ( 40 mathrm{kg} ) B. 50 kg ( c cdot 60 mathrm{kg} ) D. 70 kg | 11 |

39 | Compare the pressure exerted by a sharp needle on a surface and the pressure exerted by a blunt needle. A. The pressure exerted by a sharp needle is more B. The pressure exerted by a blunt needle is more c. The pressure exerted by both is equal D. None of these | 11 |

40 | Bernoulli’s principle is based on the law of conservation of : A. Mass B. Momentum c. Energy D. None of these | 11 |

41 | The area of cross-section of the wider tube shown in figure is ( 800 mathrm{cm}^{2} ). if mass of ( 12 k g ) is placed on the massless piston, the difference in heights h in the level of water in the two tubes is: ( mathbf{A} cdot 10 mathrm{cm} ) B. ( 6 mathrm{cm} ) ( mathrm{c} cdot 15 mathrm{cm} ) D. ( 2 c m ) | 11 |

42 | Uniform speed of ( 2 c m ) diameter ball is ( 20 mathrm{cm} / mathrm{s} ) in a viscous liquid. Then, the speed of ( 1 mathrm{cm} ) diameter ball in the same liquid is: A ( .5 mathrm{cms}^{-1} ) B. ( 10 mathrm{cms}^{-1} ) c. ( 40 mathrm{cms}^{-1} ) D. ( 80 mathrm{cms}^{-1} ) | 11 |

43 | Work done in blowing a soap bubble of radius ( R ) is ( W ). The additional amount of work done to increase its radius to ( sqrt{3 R} ) is : ( mathbf{A} cdot 3 W ) B. ( 2 W ) c. ( W ) D. ( frac{W}{3} ) | 11 |

44 | The vessel shown in the figure has two sections of area of cross section ( boldsymbol{A}_{1} ) and ( A_{2} cdot A ) liquid of density ( rho ) fills both the section upto a height ( h ) in each. Consider atmospheric pressure ( P_{0} ) also. Find (a) the pressure at the base of vessel (b) the force exerted by the liquid on the base of the vessel (c) the downward force exerted by the walls of the vessel at the level ( B ) | 11 |

45 | A cylinder of mass ( 5 k g ) is held in vertical position. If the height of the cylinder is ( 6 mathrm{cm} ) and radius of cross section is ( 4 mathrm{cm} ) then find the pressure acting on its bottom surface. | 11 |

46 | Bernoulli’s theorem is a consequence of the law of conservation of : A. Angular momentum B. Mass c. Energy D. Momentum | 11 |

47 | What is the pressure exerted by a man weighing 80 kg standing on his feet? Area of his feet ( = ) ( left.160 text { sq.cm. (Take } g=10 m s^{-2}right) ) | 11 |

48 | If the air density were uniform, then the height of the atmosphere above the sea level to produce a normal atmospheric pressure of ( 1.0 times 10^{5} ) Pa is (density of air is ( 1.3 mathrm{kg} / mathrm{m}^{3}, mathrm{g}=10 mathrm{m} / mathrm{s}^{2} ) ): A. ( 0.77 mathrm{km} ) B. 7.7 km c. ( 77 mathrm{km} ) D. 0.077 km | 11 |

49 | The greater the differences in the areas of the cylinders, the greater the force output of the big cylinder for hydraulic jack. Fill in the gap A. Potential B. Kinetic c. Rotational D. Dynamic | 11 |

50 | Pressure at a point in a fluid is directly proportional to This question has multiple correct options A. depth of the point from the surface B. density of the fluid c. acceleration due to gravity D. the area of cross section | 11 |

51 | Assertion An object from a greater height reaches a steady terminal velocity. Reason The viscous forces on a body depends upon its velocity. The greater the velocity the greater is the viscous force. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

52 | An oil drop falls through air with a terminal velocity of ( 5 times 10^{-4} m / s . ) The radius of the drop will be? Neglect density of air as compared to that of oil. (Viscosity of air ( =frac{18 times 10^{-5}}{5} N-s / m^{2} ) ( g=10 m / s^{2}, ) density of oil ( =900 mathrm{kg} / m^{3} ) A ( .2 .5 times 10^{-6} m ) В . ( 2 times 10^{-6} m ) c. ( 3 times 10^{-6} m ) D. ( 4 times 10^{-6} mathrm{m} ) | 11 |

53 | A ( 50 k g ) skydiver falls through the air and reaches terminal velocity after some time. The drag force is a function of velocity given by [ boldsymbol{F}_{d r a g}=-boldsymbol{b} boldsymbol{v}^{2} ] where the negative sign denotes that the drag force is opposite to the direction of the velocity. What is the terminal velocity of the skydiver (assuming the drag constant ( b ) is ( 0.2 k g / m ) )? A ( cdot 5 frac{m}{s} ) B. [ 50 frac{m}{s} ] ( c ) [ 100 frac{m}{s} ] D. [ 250 frac{m}{s} ] E [ 2500 frac{m}{s} ] | 11 |

54 | Streamline flow are more likely for liquids with A. High density and low viscosity B. Low density and high viscosity c. High density and high viscosity D. Low density and low viscosity | 11 |

55 | How many commonly used hydraulic jacks are available? A. 3 B. 4 ( c cdot 2 ) ( D ) | 11 |

56 | If a ball of steel (density ( rho=7.8 g c m^{-3} ) attains a terminal velocity of ( 10 mathrm{cm} s^{-1} ) when falling in a tank of water (coefficient of viscosity ( eta_{w a t e r}= ) ( left.8.5 times 10^{-4} text {Pa.s }right) ) then its terminal velocity in glycerine ( (rho= ) ( left.12 g c m^{-3}, eta=13.2 text { pa.s }right) ) would be nearly:- A. ( 1.6 times 10^{-5} mathrm{cm} mathrm{s}^{-1} ) в. ( 6.25 times 10^{-4} mathrm{cm} mathrm{s}^{-1} ) c. ( 6.45 times 10^{-4} mathrm{cm} s^{-1} ) D. ( 1.5 times 10^{-5} mathrm{cm} mathrm{s}^{-1} ) | 11 |

57 | What is maximum Reylonds number for laminar flow? A . 500 B. 4000 ( c .2000 ) D. 8000 | 11 |

58 | Two drops of small radius are falling in air with constant velocity ( 5 mathrm{cm} s^{-1} . ) If they coalesce, then the terminal velocity will be A. ( 10 mathrm{cms}^{-1} ) B . ( 2.5 mathrm{cms}^{-1} ) c. ( 5 times sqrt[3]{4 c m s^{-1}} ) D. ( 5 . sqrt{2} mathrm{cm} mathrm{s}^{-1} ) | 11 |

59 | The approximate depth of an ocean is ( 2700 m . ) The compressibility of water is ( 45.4 times 10^{-11} P a^{-1} ) and density of water is ( 10^{3} k g / m^{3} . ) What fractional compression of water will be obtained at the bottom of the ocean?(Take ( g= ) ( 10 m s^{-2} ) A ( cdot 1.2 times 10^{-2} ) В. ( 1.4 times 10^{-2} ) C ( .0 .8 times 10^{-2} ) D. ( 1.0 times 10^{-2} ) | 11 |

60 | Bernoulli’s equation includes as a special case: A. Archimede’s principle B. Pascal’s law c. Toricelli’s law D. Hooke’s law | 11 |

61 | State true or false. Animals like camels walk easily in the desert as broad feet exert great pressure on the sandy ground. | 11 |

62 | When a sphere falling in a viscous fluid attains a terminal velocity, then: A. the net force acting on the sphere is zero B. the drag force balances the buoyant force c. the drag force balances the weight of the sphere D. the buoyant force balances the weight and drag force | 11 |

63 | Assertion When spinning ball is thrown it deviates from its usual path in flight. Reason Time of flight will remain same if axis of rotation is vertical A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct | 11 |

64 | A spinning ball is moving in a direction opposite to the direction of the wind. The ball moves in a curved path as: A. the pressure at the top and the bottom of the ball are equal B. the pressure at the top ( > ) the pressure at the bottom c. the pressure at the top ( < ) the pressure at the bottom D. there is no relation between the pressures | 11 |

65 | A square box of water has a small hole located in one of the bottom corners. When the box is full and sitting on a level surface, complete opening of the hole results in a flow of water with a speed ( v_{0}, ) as shown in fig. When the box is still half empty, it is tilted by ( 45^{circ} ) so that the hole is at the lowest point. Now the water will flow out with a speed of: A ( cdot v_{0} ) B. ( v_{0} cdot 2 ) c. ( frac{v_{0}}{sqrt{2}} ) D. ( frac{v_{0}}{sqrt[4]{2}} ) | 11 |

66 | At certain temperature radius of an air bubble is doubled when it comes to the top from bottom of a mercury column of height H if the pressure is: A. 5.5 B. 10.64 c. 12.45 D. 15 | 11 |

67 | A plane is in a level flight at a constant speed and each of its two wings has an area of ( 25 m^{2} . ) If the speed of air is ( 180 mathrm{kmh}^{-1} ) over the lower wing and ( 234 k m h^{-1} ) over the upper wing surface, the plane’s mass is : (Take density of air ( =1 k g m^{-3} . ) ) A. ( 4.400 g m ) в. ( 4400 g ) т c. ( 44.0 k g ) D. ( 4400 k g ) | 11 |

68 | A liquid will NOT wet the surface of a solid if its angle of contact is A. Zero B. Less than 90 c. More than 90 D. ( 90^{circ} ) | 11 |

69 | Distance ( boldsymbol{x}_{3} ) is given by A. ( sqrt{3} a ) В. ( sqrt{2} a ) c. ( frac{1}{2} sqrt{3} a ) ( 2.2 sqrt{3} a ) | 11 |

70 | The figure shows two immiscible liquids(Kerosene and water). Kerosene has density ( rho_{2} ) and water has density ( rho_{1} ) Find the velocity of water flow. | 11 |

71 | Twenty-seven rain drops of same diameter fall through air with terminal velocity ‘ ( V ) ‘. If they coalesce forming a single drop, then the terminal velocity of the resultant drop is A. ( V ) B. 3V c. ( 9 V ) D. ( frac{V}{9} ) | 11 |

72 | A water tank is filled with water upto height H. A hole is made in a tank wall at a depth D from the surface of water The distance ( X ) from the lower end of wall where the water stream from tank strikes the ground is: B ( .2 sqrt{D(H+D)} ) c. ( 2 sqrt{D(H-D)} ) ( D cdot sqrt{D} ) | 11 |

73 | The motion of a body is given by the equation ( frac{d v}{d t}=6-3 v: w ) here ( v ) is in ( boldsymbol{m} / boldsymbol{s} . ) If the body was at rest at ( boldsymbol{t}=mathbf{0} ) (i) the terminal speed is ( 2 m / s ) (ii) the magnitude of the initial acceleration is ( 6 m / s ) (iii) the speed varies with time as ( v= ) ( 2left(1-e^{-3 t}right) m / s ) (iv) The speed is 1 m/s,when the acceleration is half the initial ( mathbf{A} cdot(i),(i i i) ) B. ( (i i),(i i i),(i v) ) c. ( (i),(i i),(i i i) ) D. Alll | 11 |

74 | Mercury does not wet glass, wood or iron because: A. cohesive force is less than adhesive force B. cohesive force is greater than adhesive froce C . angle of contact is less than ( 90^{circ} ) D. cohesive force is equal to adhesive force | 11 |

75 | A frame thread is tied slightly loose to a wire frame as in figure and the frame is dipped into a soap solution and taken out. The frame is completely covered with the film.When the portion ( A ) is punctured with a pin, the thread: A. becomes concave towards A B. becomes convex towards A c. either (a) or (b) depending on the size of A with respect to D. remains in the initial position | 11 |

76 | A jet of a liquid of density ( rho ) with a cross-sectional area A is incident at an angle ( theta ) on a wall with a velocity ( v ) and bounces with no loss of energy. The angle ( theta ) is measured with respect to the wall. The force in a direction normal to the surface of the wall is: A ( cdot 2 rho A v^{2} cos theta ) B. ( 2 rho A v^{2} sin theta ) ( mathbf{c} cdot 2 rho A v^{2} cos ^{2} theta ) D. ( 2 rho A v^{2} sin ^{2} theta ) | 11 |

77 | Take a glass and fill it up with water up to the brim. Make sure that there are no air bubbles. Take a thick, stiff piece of cardboard and put it over the glass. Place your hand over the card and quickly turn the glass upside down. Now slowly remove your hand. What does this experiment show? A. Air occupies space. B. Air exerts pressure C. Air has weight D. All of these | 11 |

78 | A container filled with liquid up to height ( h ) is place on a smooth horizontal surface. The container is having a small hole at the bottom. As the liquid comes out from the hole, the container moves in a backward direction with acceleration ( a ) and finally, when all the liquid is drained out, it acquires a velocity ( v . ) Neglect mass of the container. In this case A. both ( a ) and ( v ) depend on ( h ) B. only a depends on ( h ) c. only ( v ) depends on ( h ) D. neither ( a ) nor ( v ) depends on ( h ) | 11 |

79 | Assertion Smaller drops of liquid resist deforming forces better than the larger drops. Reason Excess pressure inside a drop is directly proportional to its surface area. | 11 |

80 | Assertion Falling raindrops acquire a terminal velocity. Reason A constant force in the direction of motion and a velocity dependent force opposite to the direction of motion, never results in the acquisition of terminal velocity. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

81 | If ball of steel (density ( rho=7.8 mathrm{cm}^{-3} ) ) attains a terminal velocity of ( 10 mathrm{cms}^{-1} ) when falling in a tank of water (coefficient of viscosity ( boldsymbol{eta}_{boldsymbol{w} text {ater}}=mathbf{8 . 5} times ) ( 10^{-4} ) Pa.s then its terminal velocity in glycerin ( left(rho=1.2 g c m^{-3} eta=13.2 P a . sright) ) would be nearly: A ( .1 .5 times 10^{-5} mathrm{cms}^{-1} ) в. ( 1.6 times 10^{-5} mathrm{cms}^{-1} ) c. ( 6.25 times 10^{-4} mathrm{cms}^{-1} ) D. ( 6.45 times 10^{-4} mathrm{cms}^{-1} ) | 11 |

82 | The U-tube of a manometer has: A. one side open B. both sides open c. both sides closed D. none of these | 11 |

83 | A stream of water (density ( rho ) ) flowing horizontally with a speed v emerges from a tube of cross-sectional area ( A ) and hits on adjacent vertical wall. The force of impact on the wall when the water does not rebound is: A ( cdot rho A v^{2} ) B. ( rho A v ) c. ( frac{rho A}{v} ) D. none of these | 11 |

84 | Which of the following is/ are correct about pressure? A. Pressure at a point acts equally in all directions B. Liquid at rest exerts lateral pressure which decreases with depth C. Pressure acts normally on any area whatever orientation the area may be held D. Both (a) and (c) are correct | 11 |

85 | Figure shows four containers of olive oil The pressure at depth h is A. Greatest in A B. Greatest in c. Least in ( mathrm{B} ) and ( mathrm{c} ) both D. Equal in all the containers | 11 |

86 | Two cylindrical vessels fitted with pistons ( A ) and ( B ) of area of cross section ( 8 mathrm{cm}^{2} ) and ( 320 mathrm{cm}^{2} ) respectively are joined at their bottom by a tube and they are completely filled with water. When a mass of ( 4 mathrm{kg} ) is placed on piston A, find: (i) the pressure on piston ( A,( ) ii) the pressure on piston ( mathrm{B} ), and (iii) the thrust on piston B. | 11 |

87 | A thin tube of uniform cross-section is sealed at both ends. It lies horizontally. The middle ( 5 c m ) contains ( mathrm{Hg} ) and two equal ends contain air at the same pressure ( P_{0} . ) When the tube is held at an angle of ( 60^{circ} ) with the vertical, the length of the air column above and below the Hg are ( 46 mathrm{cm} ) and ( 44.5 mathrm{cm} ). Calculate pressure ( P_{0} ) in cm of Hg. Assume temperature of the system to be constant. A. ( 55 mathrm{cm} ) of ( mathrm{Hg} ) B. ( 65 mathrm{cm} ) of ( mathrm{Hg} ) c. ( 70.4 mathrm{cm} ) of ( mathrm{Hg} ) D. ( 75.4 mathrm{cm} ) of ( mathrm{Hg} ) | 11 |

88 | Choose the correct statement from the following? This question has multiple correct options A. Pressure is same at all points in the horizontal plane B. A liquid seeks its own level C. The lateral pressure exerted by a liquid decreases with the increase in depth of the liquid D. The upper surface of a stationary liquid is always horizontal | 11 |

89 | The volume of an air bubble is doubled as it rises from the bottom of a lake to its surface. The atmospheric pressure is ( 75 mathrm{cm} ) of mercury and the ratio of the density of mercury to that of lake water is ( 40 / 3, ) the depth of the lake is | 11 |

90 | An enclosed fluid under pressure exerts that pressure throughout its volume and against any surface containing it. Is the statement true or false A . True B. False | 11 |

91 | When a solid ball of volume ( V ) is falling through a viscous liquid, a viscous force ( F ) acts on it. If another ball of volume 2 V of the same material is falling through the same liquid then the viscous force experienced by it will be (when both fall with terminal velocities). ( A cdot 4 F ) в. ( frac{F}{2} ) ( c cdot 2 F ) D. ( frac{F}{4} ) | 11 |

92 | An L-shaped glass tube is just immersed in flowing water such that its opening is pointing against flowing water. If the speed of water current is ( mathbf{v} ) then : A the water in the tube rises to height ( frac{v^{2}}{2 g} ) B. The water in the tube rises to height ( frac{g}{2 v^{2}} ) c. The water in the tube does not rise at all D. None of these. | 11 |

93 | The length of the cork cylinder inside the water in equilibrium is: ( A cdot 6 c m ) B. ( 4 mathrm{cm} ) ( c cdot 8 c m ) D. 3 cm | 11 |

94 | Principle of similitude forms the basis for: A. comparing two identical equipments B. designing models so that the result can be converted to prototypes C. hydraulic designs D. performing acceptance tests | 11 |

95 | Two spheres of radii ( r_{1} ) and ( r_{2}left(r_{1}>r_{2}right) ) is dropped through a tube full of glycerine. Their terminal velocities ( boldsymbol{v}_{1} ) and ( v_{2} ) are calculated in the experiment. Which of the following is true? A ( cdot v_{1}=v_{2} ) В. ( v_{1}>v_{2} ) c. ( v_{1}<v_{2} ) D. ( v_{1} ) and ( v_{2} ) are independent of ( r_{1} ) and ( r_{2} ) | 11 |

96 | An object weighs ( 30 N . ) It displaces a volume of water that weighs ( 25 N ) (i) what is the buoyant force on the object? (ii) will this object float or sink? Explain your answer. | 11 |

97 | Q Type your question. viscous and incompressible liquids of ( boldsymbol{H} ) densities ( d ) and ( 2 d, ) each of height ( frac{-}{2} ) as shown in figure. The lower density liquid is open to the atmosphere having pressure ( P_{0} . ) A homogeneous solid cylinder of length ( Lleft(L<frac{H}{2}right) ) cross ( boldsymbol{A} ) sectional area ( – ) is immersed such that ( mathbf{5} ) it floats with its axis vertical at the liquid-liquid interface with the length in the denser liquid. The total pressure at the bottom of the container is given as ( p=p_{o}+frac{x H+L}{4} . ) Find ( x ) | 11 |

98 | A vehicle sinks into soft ground. The vehicle is changed so that it does not sink as far. Which change is made? A. A lower centre of mass B. A more powerful engine c. wheels that are further apart D. Wider tyres | 11 |

99 | The vertical height of the mercury column in a barometer remains unaffected even if the tube is tilted. A. True B. False | 11 |

100 | If ( 50 mathrm{N} ) force is applied on a liquid and it experiences ( 25 N / m^{2} ) pressure. Find out the area on which the force is applied? | 11 |

101 | What is a pressure on the smaller piston if both the pistons are at same horizontal level? (Take ( left.g=10 m s^{-2}right) ) ( mathbf{A} cdot 3 P a ) В. ( 4 times 10^{3} P a ) c. ( 6 times 10^{5} P a ) D. ( 1000 P a ) | 11 |

102 | The atmospheric pressure can support vertical height of water. A . ( 13.4 m ) в. 10.34 т c. ( 0.76 m ) D. ( 7.6 m ) | 11 |

103 | The radii of the press plunger and the pump plunger are in the ratio ( 30: 4 . ) If an effort of ( 32 k g f ) acts on the pump plunger. Find the maximum effort the press plunger can overcome. ( in kgf) | 11 |

104 | toppr ( t ) Q Type your question speed. Which one of the following graphs best depicts the variation of its speed ( boldsymbol{v} ) with time ( t ? ) ( A ) ( B ) ( c ) ( D ) | 11 |

105 | In the integral type of power brake, the diaphragm acts directly on the hydraulic piston in the A. Master cylinder B. Wheel cylinder c. Adjacent cylinder D. Multiplier unit | 11 |

106 | A person weighs ( 60 k g . ) The area under the foot of the person is ( 180 mathrm{cm}^{2} ). Find the pressure exerted on the ground by the person. (Take ( left.g=9.8 m s^{-2}right) ) Round off your answer to nearest value | 11 |

107 | When a large bubble rises from the bottom of a lake to the surface, its radius doubles. If atmospheric pressure is equal to that of column of water height ( mathrm{H} ), then the depth of lake is :- ( A cdot H ) B. 2H c. 7H D. 8H | 11 |

108 | Identify the following shows the application of pressure in our everyday life? This question has multiple correct options A. The blade of Ice-skating shoe is very sharp B. It is easier to drive a sharp tipped nail into wood c. Sharp knife cuts better D. Foundation of high-rise building are kept narrow | 11 |

109 | In the arrangement shown, a car of certain mass ‘m’ is in equilibrium by applying a force of 25 N. If the density of liquid taken is ( 0.9 mathrm{cm}^{-3} ), then find the mass of the car | 11 |

110 | kg of iron and 1 kg of cotton are allowed to fall from the roof top of a building simultaneously. Which one do you think will reach the ground first. Justify your answer. | 11 |

111 | Water is flowing steadily through a horizontal tube of non-uniform cross- section.If the pressure of water is ( 4 times ) ( 10^{4} N / m m^{2} ) at a point when cross section is ( 0.02 m^{2} ) velocity of flow is ( 2 mathrm{m} / mathrm{s} ) what is pressure at a point where ( operatorname{cross} ) section reduces to ( 0.01 m^{2} ) A ( cdot 1.4 times 10^{4} N m^{2} ) B. ( 3.4 times 10^{4} N m^{2} ) c. ( 2.4 times 10^{-4} N m^{2} ) D. none of these | 11 |

112 | Show that the surface tension of a liquid is numerically equal to the surface energy per unit area. | 11 |

113 | An airtight box, having a lid of area ( 80 c m^{2}, ) is partially evacuated (i.e., has low pressure than outside atmosphere) Atmosphere pressure is ( 1.01 times 10^{5} P a ) A force of ( 600 N ) is required to pull the lid off the box. What was the pressure in the box? | 11 |

114 | State whether given statement is True or False Buildings have wide foundations so | 11 |

115 | Length of exposed portion of top of box is equal to ( mathbf{A} cdot 2 m ) в. ( 3 m ) c. ( 4 m ) D. ( 2.5 m ) | 11 |

116 | A car moving on a road when overtaken by a bus: A. is pulled towards the bus B. is pulled away from the bus c. is not affected by the bus D. information is insufficient | 11 |

117 | A soap bubble, having radius of ( 1 mathrm{mm} ), is blown from a detergent solution having a surface tension of ( 2.5 times 10^{-2} N / m ) The pressure inside the bubble equals at a point ( Z_{0} ) below the free surface of water in a container. Taking ( boldsymbol{g}= ) ( 10 m / s^{2}, ) density of water ( =10^{3} k g / m^{3} ) the value of ( Z_{0} ) is : A . ( 100 mathrm{cm} ) B. ( 10 mathrm{cm} ) ( c cdot 1 c m ) D. ( 0.5 mathrm{cm} ) | 11 |

118 | Liquid brakes in automobiles follow principle of bramha press (Pascal’s principle). What about air brakes? Collect the information about the working process of air brakes. | 11 |

119 | What is the time required for the same amount of water to flow out if the water level in tank is maintained always at a height of ( 1 m ) from orifice? | 11 |

120 | Porters (coolies) place on their heads a round piece of cloth, to the area of contact of the load with their head. A. increase B. decrease c. maintain the same D. can not say | 11 |

121 | Vertical sections of a wing of a fan are shown in the following figures. The maximum up thrust will be in figure. ( A ) в. ( c ) ( D ) | 11 |

122 | A liquid is allowed to flow in a tube of truncated cone shape. Identify correct statement from the following. A. The speed is high at the wider end and low at the narrow end B. The speed is low at the wider end and high at the narrow end c. The speed is same at both ends in a stream line flow D. The liquid flows with uniform velocity in the tube | 11 |

123 | Assertion Pascal’s law is the working principle of a hydraulic lift. Reason Pressure is thrust per unit area A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct | 11 |

124 | A hole is made at the bottom of the tank filled with water (density ( 1000 k g / m^{3} ) ), If the total pressure at the bottom ofthe tankis 3 atmosphere ( left(1 text { atmosphere }=10^{5} N / m^{2}right), ) then the velocity of efflux is : A ( . sqrt{200} mathrm{m} / mathrm{s} ) B. ( sqrt{400} mathrm{m} / mathrm{s} ) c. ( sqrt{500} mathrm{m} / mathrm{s} ) D. ( sqrt{800} mathrm{m} / mathrm{s} ) | 11 |

125 | Assertion The excess pressure above atmospheric pressure is usually called as gauge pressure. Reason Gauge pressure ( =(text { Total pressure }) ) (atmospheric pressure) A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct | 11 |

126 | Lifting automobiles in service stations is based on the principle of A. Apparent pressure B. Hydraulic pressure c. Atmospheric pressure D. none of the above | 11 |

127 | A cylindrical vessel of height 500 mm has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it up to height ( boldsymbol{H} ). Now the top is completely sealed with a cap and orifice at the bottom is opened. Some water comes out from the orifice and the water level in the vessel becomes steady with height of water column being 200 mm. Find the fall in height (in ( m m) ) of water level due to opening of the orifice. (Take atmospheric pressure ( =1.0 times 10^{5} N / m^{2}, ) density of water ( =1000 mathrm{kg} / mathrm{m}^{3} ) and ( g=10 mathrm{m} / mathrm{s}^{2} ) (Neglect any effect of surface tension.) | 11 |

128 | In Jeeps we use A. Mechanical brakes B. Hydraulic brakes C. Air brakes D. water brakes | 11 |

129 | A liquid of density ( rho ) is filled in a U-tube. The tube is accelerated with an acceleration a so that the height of liquid in its two vertical arms are ( boldsymbol{h}_{mathbf{1}} ) and ( h_{2} ) as shown in the fig, If I is the length of horizontal arm of the tube, the acceleration a is: A ( cdot frac{gleft(h_{1}-h_{2}right)}{2 quad l} ) towards right B. ( frac{gleft(h_{1}-h_{2}right)}{2 quad l} ) towards ( quad ) left c. ( frac{gleft(h_{1}-h_{2}right)}{l} ) towards right D. ( frac{gleft(h_{1}-h_{2}right)}{l} ) towards left | 11 |

130 | Pressure of a gas at constant volume is proportional to A. Total internal energy of the gas B. Average kinetic energy of the molecules C. Average potential energy of the molecules D. Total energy of the gas | 11 |

131 | The liquids shown in fig. in the two arms are mercury (specific gravity ( =mathbf{1 3 . 6} ) ) and water. If the difference of heights of the mercury columns is ( 2 mathrm{cm} ), find the height h of the water column ( A cdot 27 c m ) В. ( 30 mathrm{cm} ) ( c .35 c m ) D. ( 440 mathrm{cm} ) | 11 |

132 | Torr is the physical quantity for atmospheric pressure. Type 1 for true and 0 for false | 11 |

133 | The liquid meniscus in a capillary tube will be convex, if the angle of contact is : A . greater than ( 90^{circ} ) B. less than ( 90^{circ} ) C . equal to ( 90^{circ} ) D. equal to zero | 11 |

134 | If the difference between pressure inside and outside of a soap bubble is 6 ( mathrm{mm} ) of water above atmospheric pressure and its radius is ( 8 mathrm{mm} ). What is the surface tension in dynes per ( mathrm{cm} ) : A . 116 B. 256 c. 378 D. 450 | 11 |

135 | In the figure, the cross-sectional area of the smaller tube is ( a ) and that of the larger tube is ( 2 a . ) A block of mass ( m ) is kept in the smaller tube having the same base area ( a ), as that of the tube The difference between water levels of the two tubes is A ( cdot frac{P_{0}}{rho g}+frac{m}{a rho} ) в. ( frac{P_{0}}{rho g}+frac{m}{2 a rho} ) c. ( frac{m}{a rho} ) D. ( frac{m}{20} ) | 11 |

136 | The two femurs each of the cross- sectional area ( 10 mathrm{cm}^{2} ) support the upper part of a human body of mass ( 40 mathrm{kg} ) The average pressure sustained by the femurs is then (Takes ( g=10 mathrm{m} mathrm{s}^{-2} ) ) A ( cdot 2 times 10^{3} mathrm{N} mathrm{m}^{-2} ) B. 2 ( times 10^{4} mathrm{N} mathrm{m}^{-2} ) c. ( 2 times 10^{5} mathrm{N} mathrm{m}^{-2} ) D. 2 ( times 10^{6} mathrm{N} mathrm{m}^{-2} ) | 11 |

137 | Water is poured from a height of ( 10 mathrm{m} ) into an empty barrel at the rate of 1 litre per second. If the weight of the barrel is ( 10 mathrm{kg}, ) the weight indicated at time ( t= ) 60 s will be A . ( 71.4 mathrm{kg} ) в. ( 68.6 mathrm{kg} ) c. ( 70.0 mathrm{kg} ) D. ( 84.0 mathrm{kg} ) | 11 |

138 | toppr Q Type your question connected to a large tank of water. The surface of the water is at a height above the end of the tap. By considering the dynamics of a thin “cylinder’ of water in the stream answer the following: (ignore any resistance to the flow and any effects of surface tension, ( operatorname{given} rho_{w} ) density of water) Which of the following equation expresses the fact that the flow rate at the tap is the same as at the stream point with diameter ( D ) and velocity ( v ) (i.e. D in terms of ( left.D_{0}, v_{0} text { and } v text { will be }right) ) A ( cdot D=frac{D_{0} v_{0}}{v} ) B. ( quad D=frac{D_{0} v_{0}^{2}}{v^{2}} ) c. ( D=frac{D_{0} v}{v_{0}} ) D. ( D=D_{0} sqrt{frac{v_{0}}{v}} ) | 11 |

139 | Water is not used as a barometric liquid because A. it is difficult to have a barometer tube 11 m long B. water vaporises under vacuum conditions c. water sticks to the side of glass tube. D. all the above | 11 |

140 | There is a hole to the wall at the bottom of a vessel filled with water to a height 10 ( c m . ) Water flows out completely in 5 sec. If the height of the water column above the hole is increased to ( 160 mathrm{cm} ) the total time taken for water flow is A ( .2 .5 mathrm{sec} ) B. 5 sec c. 10 sec D. 20 sec | 11 |

141 | at the walls of the pipe? | 11 |

142 | A drop of liquid is broken down into 27 identical liquid drops. If the terminal velocity of original liquid drop is ( V_{T} ) then find the terminal velocity of the new liquid drop thus formed. A ( cdot frac{V_{T}}{3} ) в. ( frac{V_{T}}{9} ) c. ( frac{V_{T}}{27} ) D. ( frac{9 V_{T}}{9} ) | 11 |

143 | Fill in the blank. When we drink liquid with a straw,the air pressure acting on the surface of liquid then becomes than the pressure inside the straw A. Greater B. Smaller c. Equal D. None | 11 |

144 | A rain drop of radius ( 1.5 mathrm{mm} ) experience a drag force ( boldsymbol{F}=(12 times ) ( left.mathbf{1 0}^{-5} boldsymbol{v}right) N, ) while falling through air from a height ( 2 mathrm{km}, ) with a velocity v. The terminal velocity of the rain drop will be nearly ( left(u s e g=10 m / s^{2}right) ) A. ( 200 mathrm{m} / mathrm{s} ) B. ( 80 mathrm{m} / mathrm{s} ) ( c cdot 7 m / s ) D. ( 3 mathrm{m} / mathrm{s} ) | 11 |

145 | As the depth of the river increases, the velocity of flow: A. increases B. decreases c. remains unchanged D. may increase or decrease | 11 |

146 | The height up to which water will rise in a capillary tube will be A. Minimum when water temperature is ( 4^{circ} mathrm{C} ) B. Maximum when water temperature is ( 4^{circ} mathrm{C} ) c. Maximum when water temperature is ( 0^{circ} mathrm{C} ) D. Minimum when water temperature is ( 0^{circ} mathrm{C} ) | 11 |

147 | Equal volume of two immiscible liquids of densities ( rho ) and ( 2 rho ) are filled in a vessel as shown in the figure. Two small ( boldsymbol{h} quad boldsymbol{3 h} ) holes are punched at depths ( frac{-}{2} ) and ( frac{1}{2} ) from the surface of lighter liquid. If ( v_{1} ) and ( v_{2} ) are the velocities of efflux at these two holes, then ( v_{1} / v_{2} ) is ( ^{A} cdot frac{1}{2 sqrt{2}} ) B. ( frac{1}{2} ) ( c cdot frac{1}{4} ) D. ( frac{1}{sqrt{2}} ) | 11 |

148 | Several spherical drops of a liquid of radius coalesce to form a single drop to radius ( R ). If the surface tension and ( V ) is volume and ( r ) consideration, then the release of energy is : ( ^{mathbf{A}} cdot_{3 V T}left(frac{1}{r}+frac{1}{R}right) ) B. ( quad 3 V Tleft(frac{1}{r}-frac{1}{R}right) ) ( ^{mathrm{c}} cdot_{V T}left(frac{1}{r}-frac{1}{R}right) ) D. ( V Tleft(frac{1}{r^{2}}+frac{1}{R^{2}}right) ) | 11 |

149 | An air bubble of radius ( r ) is formed at a depth ( h ) below the surface of water. The pressure inside the bubble is ( [boldsymbol{T}= ) surface tension, ( P_{o}= ) atmospheric pressure, ( boldsymbol{d}=text { density of water }] ) ( ^{mathrm{A}} cdot_{P_{o}}=frac{2 T}{r} ) в. ( frac{4 T}{r}+frac{h}{r} ) ( ^{mathrm{c}} P_{o}+h d g+frac{4 T}{r} ) D. ( _{P_{o}+h d g}+frac{2 T}{r} ) | 11 |

150 | In two figures This question has multiple correct options ( mathbf{A} cdot v_{1} / v_{2}=1 / 2 ) ( mathbf{B} cdot t_{1} / t_{2}=2 / 1 ) ( mathbf{C} cdot R_{1} / R_{2}=1 ) ( mathbf{D} cdot v_{1} / v_{2}=1 / 4 ) | 11 |

151 | A nurse applies a force of ( 3.8 N ) to the syringe’s piston of radius ( 0.9 mathrm{cm} ). Find the increase in pressure of the fluid in the syringe? A . ( 14.927 k P a ) в. 469.13 Ра ( mathbf{c} .46 .9 mathrm{mPa} ) D. 422 Pa | 11 |

152 | Several spherical drops of a liquid of radius r coalesce to form single drop of radius ( R . ) If ( T ) is surface tension and ( V ) is volume under consideration, then the release of energy is: A ( cdot ) a ( V Tleft(frac{1}{r}+frac{1}{R}right) ) В ( cdot ) s ( operatorname{VT}left(frac{1}{r}-frac{1}{R}right) ) c. ( v Tleft(frac{1}{r}-frac{1}{R}right) ) D. ( V Tleft(frac{1}{r^{2}}-frac{1}{R^{2}}right) ) | 11 |

153 | A small metal ball of mass ‘ ( m ) ‘ is dropped in a liquid contained in a vessel, attains a terminal velocity ‘ ( V ) ‘. If a metal ball of same material but of mass ( ^{prime} 8 m^{prime} ) is dropped in same liquid then the terminal velocity will be. A. ( V ) B. ( 2 V ) ( c .4 V ) D. 8V | 11 |

154 | A water barrel stands ona table of heighth. If a small hole is punched in the side of the barrel at its base, it is found that the resultant stream of water strikes the ground at a horizontal distance ( R ) from the barrel.What is the depth of water in the barrel? | 11 |

155 | Atmospheric pressure at sea level is approximately equal to A ( cdot 10^{5} N / m^{2} ) В. ( 10^{7} N / m^{2} ) ( mathbf{c} cdot 10^{3} N / m^{2} ) D. ( 10^{1} N / m^{2} ) | 11 |

156 | Equal volumes of two immiscible liquids of densities ( rho ) and ( 2 rho ) are filled in a vessel as shown in figure. Two small holes are punched at depth h/2 and 3h/2 from the surface of lighter liquid. If ( V_{1} ) and ( V_{2} ) are the velocities of a flux at these two holes, then ( V_{1} / V_{2} ) is : ( A ) B. ( frac{1}{2} ) ( c cdot 1 ) ( overline{4} ) D. ( frac{1}{sqrt{2}} ) | 11 |

157 | Q Type your question against time. Choose a possible option: 4 B. ( c ) ( D ) | 11 |

158 | A hole is made at the bottom of a tank filled with water (density ( left.=10^{3} k g / m^{3}right) ) If the total pressure at the bottom of the ( operatorname{tank} ) is ( 3 operatorname{atm}left(1 a t m=10^{5} N / m^{2}right) ) then the velocity of efflux is ( mathbf{A} cdot sqrt{400} mathrm{m} / mathrm{s} ) B. ( sqrt{200} mathrm{m} / mathrm{s} ) c. ( sqrt{600} mathrm{m} / mathrm{s} ) D. ( sqrt{500} mathrm{m} / mathrm{s} ) | 11 |

159 | The operating temperature of the filament of lamp is ( 2000^{circ} mathrm{C} ). The temperature coefficient of the material of filament is ( 0.005 /^{circ} mathrm{C} ). If the atmospheric temperature be ( 0^{circ} C, ) the current in the ( 100 mathrm{W} ) and ( 2000 mathrm{V} ) lamp when it is switched on its nearest to: A. 2.5 B. 0.05 A c. 4.5 A D. ( 5.5 mathrm{A} ) | 11 |

160 | The foot of an elephant has an area of ( 275 c m^{2} . ) If the mass of elephant is ( 2200 k g, ) find the pressure exerted by the elephant on the ground, ( (g=10 m ) ( s^{-2} ) ). | 11 |

161 | Eight spherical rain drops of the same mass and radius are falling down with a terminal speed of ( 6 mathrm{cm} s^{-1} ). If they coalesce to form one big drop, what will be its terminal speed? Neglect the buoyancy due to air: A ( .1 .5 mathrm{cm} mathrm{s}^{-1} ) B. ( 6 mathrm{cms}^{-1} ) c. ( 24 c m s^{-1} ) D. ( 32 mathrm{cms}^{-1} ) | 11 |

162 | In the diagram the area of cross section of the pistons ( A ) and ( B ) are ( 8 c m^{2} ) and ( 320 c m^{2} ) respectively then the thrust on the piston at ( B ) is A . ( 160 k g f ) в. ( 320 k g f ) c. ( 420 k g f ) D. ( 80 k g f ) | 11 |

163 | A uniformly tapering vessel shown in figure, is filled with liquid of density ( 900 k g / m^{3} . ) The force that acts on the base of the vessel due to liquid is : ( A cdot 3.6 mathrm{N} ) в. 7.2 ( c cdot 9.0 mathrm{N} ) D. 12.6 | 11 |

164 | Pascal’s law is used for the working of: A. Hydraulic brakes B. Hydraulic jack c. Hydraulic press D. All | 11 |

165 | In the vacuum suspended system, the brakes are applied when A. Atmospheric pressure is applied to one side of diaphram B. Vacuum is applied to both sides of diaphram C. Atmospheric pressure is applied to both sides of diaphram D. Vacuum is applied to one side of diaphram | 11 |

166 | In a laminar flow, the velocity of the liquid in contact with the walls of the tube is : A. zero B. Maximum c. In between zero and maximum D. Equal to critical velocity | 11 |

167 | A hydraulic machine exerts a force of ( 900 mathrm{N} ) on a piston of diameter ( 1.80 mathrm{cm} ) The output force is exerted on a piston of diameter ( 36 mathrm{cm} . ) What will be the output force? ( mathbf{A} cdot 12 times 10^{4} N ) В . ( 16 times 10^{4} N ) ( mathbf{c} cdot 36 times 10^{4} N ) D. ( 38 times 10^{4} N ) | 11 |

168 | Given figure shows measuring cylinder ( left(text { in } c m^{3}right) ) before and after the immersion of an irregular solid object. The volume of the object is A ( cdot ) 82 ( c m^{3} ) B. ( 12 mathrm{cm}^{3} ) c. ( 30 mathrm{cm}^{3} ) ( mathrm{D} cdot 18 mathrm{cm}^{3} ) | 11 |

169 | Water from a tap emerges vertically downwards with an initial speed of ( 1.0 m s^{-1} . ) The cross-sectional area of the tap is ( 10^{-4} m^{2} ). Assume that the pressure is constant throughout the stream of water and that the flow is steady. The cross-sectional area of the stream ( 0.15 m ) below the tap is ( (g= ) ( 10 m s^{-2} ) В. ( 1.0 times 10^{-5} mathrm{m}^{2} ) D. ( 2.0 times 10^{-5} mathrm{m}^{2} ) | 11 |

170 | Barometer is used for measuring: A. Liquid pressure B. Thrust c. Atmospheric pressure D. Air temp | 11 |

171 | An open pan ( P ) filled with water (density ( boldsymbol{rho}_{boldsymbol{w}} boldsymbol{)} ) is placed on a vertical rod, maintaining equilibrium. A block of density ( rho ) is placed on one side of the pan as shown in the figure. Water depth is more than height of the block. A. Equilibrium will be maintained only if ( rho<rho_{w} ) B. Equilibrium will be maintained only if ( rho leq rho_{w} ) C. Equilibrium will be maintained for all relations between ( rho ) and ( rho_{w} ) D. Equilibrium will not be maintained in all cases | 11 |

172 | Write the formula terminal velocity | 11 |

173 | In the tigure shown water Is thled in a symmetrical container. Four pistons of equal area ( A ) are used at the four opening to keep the water in equilibrium. Now an additional force ( boldsymbol{F} ) is applied at each piston. The increase in the pressure at the centre of the container due to this addition is ( mathbf{A} cdot frac{F}{A} ) B. ( frac{2 F}{A} ) ( c cdot frac{4 F}{A} ) ( D ) | 11 |

174 | A mercury drop of radius ( 1 mathrm{cm} ) is sprayed into ( 10^{6} ) drops of equal size. The energy expended in joule is (surface tension of mercury is ( 460 x 10^{-3} mathrm{N} / mathrm{m} ) ): A. 0.057 B. 5.7 c. ( 5.7 times 10^{-4} ) D. ( 5.7 times 10^{-6} ) | 11 |

175 | A tube is attached as shown in closed vessel containing water. The velocity of water coming out from a small hole is ( mathbf{A} cdot sqrt{2} m / s ) B. ( 2 m / s ) C. Depends on pressure of air inside vessel D. None of these | 11 |

176 | ( 10.0 mathrm{cm} ) from the centre of the pipe (half way between the centre and the walls) | 11 |

177 | Why sleepers are used below the rails? | 11 |

178 | A water hose ( 2 mathrm{cm} ) in diameter is used to fill a 20 litre bucket. If it takes 1 minute to fill the bucket, then the speed vat which the water the water leaves the hose is, | 11 |

179 | The manometer shown below is used to measure the difference between water level of the two tanks. Calculate this difference for the conditions indicated ( A cdot 4 mathrm{cm} ) B. ( 40 mathrm{cm} ) ( c .100 mathrm{cm} ) D. ( 12 mathrm{cm} ) | 11 |

180 | A cylınder ot nelght ( n ) thled with water and is kept on lock of height h/2. The level of water in the cylinder is kept constant. Four holes numbered 1,2,3 and 4 are at the side of the cylinder and at height ( 0, ) h/4, h/2 and ( 3 h / 4 ) respectively. When all four holes are opened together, the hole from which water will reach farthest distance on the plane PQ is the hole number. ( A ) ( B .2 ) ( c cdot 3 ) D. | 11 |

181 | In the arrangement shown below a block of mass ( 2700 mathrm{kg} ) is in equilibrium on applying a force F. The value of force F is ( d_{l i q u i d}=0.75 g c m^{-3} ) is A . ( 147 N ) B . ( 300 N ) c. ( 153 N ) D. ( 1755 N ) | 11 |

182 | Water rises to a height of ( 10 mathrm{cm} ) in a capillary tube and mercury falls to a depth of the same capillary tube. If the density of water is ( 1 mathrm{gm} / mathrm{c} . mathrm{c} ) and its angle of contact is ( 0^{circ}, ) then the ratio of such of two liquids is ( left(cos 135^{circ}=0.7right) ) | 11 |

183 | The Sl unit of pressure is ( A cdot ) atm B. dyne/cm ( ^{2} ) c. pascal D. mm of Hg | 11 |

184 | A spherical body of diameter D is falling in viscous medium. Its terminal velocity is proportional to: ( mathbf{A} cdot V_{1} propto D^{1 / 2} ) B. ( V_{1} propto D^{3 / 2} ) ( mathbf{c} cdot V_{1} propto D^{2} ) D. ( V_{1} propto D^{5 / 2} ) | 11 |

185 | A metal ball of radius ( 1 m m ) and density ( 10^{4} mathrm{kg} mathrm{m}^{-3} . ) falls freely in air through a height ‘h’ before falling in a tank full of water. If on falling in water its velocity remains unchanged, then the value of h will be (Coefficient of viscosity of water ( =10^{-3} ) Pa.s and ( g=10 m s^{-2} ) A . ( 10 m ) B. ( 15 mathrm{m} ) ( c .25 m ) D. ( 20 m ) | 11 |

186 | Insects are able to run on the surface of water because: A. insects have less weight B. insects swim on water c. of the Archimede’s upthrust D. surface tension makes the surface behave as elastic membrane | 11 |

187 | Water enters through end ( A ) with a speed ( v_{1} ) and leaves through end ( B ) with a speed ( v_{2} ) of a cylindrical tube ( A B ). The tube is always completely filled with water In case ( I ) the tube is horizontal, in case ( I I ) it is vertical with the end ( A ) upward and in case ( I I I ) it is vertical with the end ( B ) upward. We have ( v_{1}= ) ( boldsymbol{v}_{2} ) for A . case I B. case II c. case ( I I I ) D. each case | 11 |

188 | Two equal drops of water are falling through air with. steady velocity v. If the drops coalesced, what will be the new velocity? | 11 |

189 | I torr is equal to the pressure exerted by A. ( 1 mathrm{mm} ) of a mercury column B. ( frac{1}{10} mathrm{mm} ) of a mercury column C. ( 10 mathrm{mm} ) of a mercury column D ( cdot frac{1}{5} mathrm{mm} ) of a mercury column | 11 |

190 | Why is mercury used as a barometer liquid. Give three reasons. | 11 |

191 | Well known formula one racing car has a body with A. laminated design B. turbulent design c. flat design D. streamlined design | 11 |

192 | Why do lories carry heavy load have more tyres with spread tyres? | 11 |

193 | In the given figure atmospheric pressure is ( P_{0} ) then Pressure at ( A ) will be ( A cdot P_{0} ) B. ( P_{0}-frac{2 T}{R} ) ( ^{mathbf{C}} P_{0}+frac{2 T}{R} ) D ( P_{0}-frac{4 T}{R} ) | 11 |

194 | Assertion: The upper surface of the wings of an aeroplane is made convex Reason: The air current at the top will have greater velocity and thus pressure at the bottom will be greater than at the top A. Both assertion and reason are true and reason is correct explanation of assertion B. Both assertion and reason are true but reason is not the correct explanation of assertion. c. Assertion is true but reason is false. D. Both assertion and reason are false | 11 |

195 | The pressure of a liquid is plotted on the Y-axis at a depth h in a liquid of density ( rho ) and the value of h on the X-axis, the graph is a straight line. The slope of the straight line is : ( (mathrm{g}= ) acceleration due to gravity ( mathbf{A} cdot rho g ) B. ( 1 / rho g ) ( mathbf{c} cdot rho / g ) D. ( g / rho ) | 11 |

196 | Two drops of the same radius are falling are falling through air with a steady velocity of ( 5 mathrm{cm} / mathrm{s} ). If the two drops coalesce, the terminal velocity would be A ( .10 mathrm{cm} / mathrm{s} ) B. ( 2.5 mathrm{cm} / mathrm{s} ) c. ( 5(4)^{1 / 3} c m / s ) D. ( 5(3)^{1 / 3} mathrm{cm} / mathrm{s} ) | 11 |

197 | Two vessels ( A ) and ( B ) of different shapes have the same base area and are filled with water up to the same height h (see figure). The force exerted by water on the base is ( F_{A} ) for vessel ( A ) and ( F_{B} ) for vessel B. The respective weights of the water filled in vessels are ( W_{A} ) and ( W_{B} ) Then: ( mathbf{A} cdot F_{A}>F_{B} ; W_{A}>W_{B} ) B ( cdot F_{A}=F_{B} ; W_{A}>W_{B} ) ( mathbf{c} cdot F_{A}=F_{B} ; W_{A}F_{B} ; W_{A}=W_{B} ) | 11 |

198 | A boat is streamlined to reduce the resistance to motion offered by A. True B. False | 11 |

199 | A 50 kg girl wearing heel shoes balances on a single heel. The heel is circular with a diameter ( 1 mathrm{cm} ) The pressure exerted by the heel on the horizontal floor is then (Take ( g=10 mathrm{m} ) s -2) A ( cdot 6.4 times 10^{4} ) Pa. . ( . ). 6.4 . B. ( 6.4 times 10^{5} ) pa c. ( 6.4 times 10^{6} ) Ра D. 6.4 ( times 10^{7} ) Ра | 11 |

200 | A glass plate is partly dipped vertically in the mercury and angle contact is measured. If the plate is inclined, then the angle of contact will A. Increase B. Decrease c. Remain unchanged D. Increase or decrease | 11 |

201 | The given figure shows a siphon in action. The liquid flowing through the siphon has a density of ( 1.5 g / c c ) Calculate the pressure difference between (i) points ( boldsymbol{A} ) and ( boldsymbol{D} ) (ii) points ( C ) and ( B ) | 11 |

202 | The space above the mercury column in a barometer is torricellian vacuum. A. True B. False | 11 |

203 | Choose the wrong statement among the following This question has multiple correct options A. The pressure at a point in a fluid is directly proportional to the depth of the point from the surface B. The pressure at a point is independent of acceleration due to gravity C. The pressure at a point is directly proportional to the area of cross section D. The pressure at a point is proportional to the density of the fluid | 11 |

204 | Which of the following scientists invented the mercury barometer? A. Blaise Pascal B. Evangelist Torricelli c. James Joule D. Robert Brown | 11 |

205 | A metallic sphere of mass M falls through glycerine with a terminal velocity v. If we drop a ball of mass ( 8 mathrm{M} ) of same metal into a column of glycerine, the terminal velocity of the ball will be A ( .2 v ) B. ( 4 v ) ( c cdot 8 v ) D. ( 16 v ) | 11 |

206 | Two spherical soap bubbles of radii ( a ) and ( b ) in vacuum coaleasce under isothermal conditions. The resulting bubbles has a radius given by: A ( cdot frac{(a+b)}{2} ) B. ( frac{a b}{a+b} ) c. ( sqrt{a^{2}+b^{2}} ) ( mathbf{D} cdot a+b ) | 11 |

207 | The area of a man’s foot is ( 80 mathrm{cm}^{2} . ) How much pressure will the man exert on the ground, while standing, if weight is 80kgf? | 11 |

208 | Assertion Hydrostatic pressure is not a vector quantity. Reason Pressure is force divided by area, and force is a vector quantity. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

209 | A spherical ball contracts in volume by ( 0.01 % ) when subjected to a normal uniform pressure of 100 atm. The Bulk modulus of its material is A . ( 1.01 times 10^{11} mathrm{Nm}^{-2} ) В. ( 1.01 times 10^{12} mathrm{Nm}^{-2} ) c. ( 1.01 times 10^{10} N m^{-2} ) D. ( 1.01 times 10^{13} mathrm{Nm}^{-2} ) | 11 |

210 | What is the magnitude of atmosphere pressure. | 11 |

211 | Find the difference of air pressure between the inside and outside of a soap bubble ( 5 m m ) in diameter, if the surface tension is ( 1.6 N / m ) A ( cdot 2560 N / m^{2} ) В. ( 3720 N / m^{2} ) ( mathrm{c} cdot 1208 mathrm{N} / mathrm{m}^{2} ) D. ( 950 N / m^{2} ) | 11 |

212 | The pressure in water pipe at the ground floor of a building is ( 120000 P a ) where as the pressure on a third floor is ( 30000 P a . ) What is the height of third floor? (Take ( g=10 m s^{-2} ), density of water ( = ) ( left.1000 k g m^{-3}right) ) | 11 |

213 | A small metal sphere of radius ( a ) is falling with a velocity ( v ) through a vertical column of a viscous liquid. If the coefficient of viscosity of the liquid is ( eta ), then the sphere encounters an opposing force of: A ( cdot 6 pi eta a^{2} v ) в. ( frac{6 eta v}{pi a} ) c. ( 6 pi eta a v ) D. ( frac{pi eta v}{6 a^{3} v} ) | 11 |

214 | The mercury barometer was invented by: A. Celsius B. fahrenheit c. Torricelli D. Bernoulli | 11 |

215 | An open capillary tube contains a drop of water. When the tube is in its vertical position, the drop forms a column with a length of 2 ( c m ). The internal diameter of the capillary tube is 1 mm. Determine the radii of curvature of the upper and lower meniscus in each case. Consider the wetting to be complete. Surface tension of water ( =mathbf{0 . 0 0 7 5} N / boldsymbol{m} ) | 11 |

216 | Two liquids ( A ) and ( B ) are taken in two separate identical containers to the same height of the column then the pressure exerted by the two liquids in their respective containers is | 11 |

217 | How can a scuba diver keep from floating back to the surface of the water? | 11 |

218 | The surface of water in a water tank on the top of a house is ( 4 mathrm{m} ) above the tap level. Find the pressure of water at the tap when the tap is closed. Is it necessary to specify that the tap is closed? Takeg ( =10 m s^{-2} ) | 11 |

219 | An aeroplane of mass ( 6000 mathrm{kg} ) is flying at an altitude of ( 3 k m . ) If the area of the wings is ( 30 m^{2} ) and the pressure at the lower surface of wings is ( 0.6 times 10^{5} p a ) the pressure on the upper surface of wings is : ( in pascal) ( left(g=10 m s^{-2}right) ) A ( cdot 5.8 times 10^{4} ) B. ( 6.8 times 10^{4} ) ( mathbf{c} cdot 7.8 times 10^{4} ) D. ( 8.8 times 10^{4} ) | 11 |

220 | The excess pressure inside an air bubble of radius ( R ) inside the liquid: ( ^{A} cdot frac{2 T}{R} ) в. ( frac{4 T}{R} ) c. ( frac{T}{R} ) D. ( frac{8 T}{R} ) | 11 |

221 | The atmospheric pressure at sea level is ( _{-}-_{-}- ) of ( boldsymbol{H} boldsymbol{g} ) ( mathbf{A} cdot 76 k m ) B. ( 76 mathrm{cm} ) ( mathrm{c} .76 mathrm{mm} ) D. ( 76 m ) | 11 |

222 | A soap bubble of radius R has been formed at normal temperature and pressure under isothermal conditions. Compute the work done. The surface tension of soap solution is ( mathrm{T} ). | 11 |

223 | Brass scale of a Barometer gives correct reading at ( 0^{circ} mathrm{C} ). coefficient of linear expansion of brass is ( 18 times ) ( 10^{-6} /^{-6} mathrm{C} . ) If the barometer reads ( 76 mathrm{cm} ) at ( 20^{circ} mathrm{C}, ) the correct reading is ( left(gamma_{mathrm{Hg}}=18 times 10^{-5} / 0 mathrm{C}right) ) A. ( 76.426 mathrm{cm} ) B. ( 75.7 mathrm{cm} ) c. ( 76.2736 mathrm{cm} ) D. ( 76.264 mathrm{cm} ) | 11 |

224 | Two capillaries of same length and radii in the ratio 1: 2 are.connected in series. A liquid flows through them in streamlined condition. If the pressure across the two extreme ends of the combination is ( 1 mathrm{m} ) of water, the pressure difference across first capillary is ( A cdot 9.4 mathrm{m} ) B. 4.9 ( m ) c. ( 0.49 mathrm{m} ) D. 0.94 m | 11 |

225 | A square hole of side a is made at a depth ( h ) below water surface and to the side of a water container another circular hole of radius ( r ) is made to the same container at a depth of ( 4 h . ) It is found that volume flow rate of water through both the holes is found to be same then: A ( cdot r=frac{a}{2 sqrt{pi}} ) В ( cdot a=frac{r}{2 sqrt{pi}} ) c. ( a=frac{r}{sqrt{2 pi}} ) D. ( r=frac{a}{sqrt{2 pi}} ) | 11 |

226 | The volume of liquid flowing per second out of an orifice at the bottom of the tank does not depend upon: A. the density of the liquid B. acceleration due to gravity c. the height of the liquid above orifice D. the area of the orifice | 11 |

227 | If every particle of fluid has irregular flow, then flow is said to be A. laminar flow B. turbulent flow C. fluid flow D. both ( A ) and ( B ) | 11 |

228 | Determine the coefficient of dynamic viscosity of the liquid. A ( .0 .45 mathrm{N} / mathrm{m}^{2} ) В. ( 0.85 mathrm{N} / mathrm{m}^{2} ) c. ( 0.56 N / m^{2} ) D. ( 0.77 mathrm{N} / mathrm{m}^{2} ) | 11 |

229 | State True or False. One atmospheric pressure at sea level is equal to ( 760 mathrm{cm} ) of ( mathrm{Hg} ). A. True B. False | 11 |

230 | A drop of liquid of density ( rho ) is floating half-immersed in a liquid of density ( d ). If ( rho ) is the surface tension the diameter of the drop of the liquid is A ( cdot sqrt{frac{sigma}{g(2 rho-d)}} ) в. ( sqrt{frac{3 sigma}{g(2 rho-d)}} ) c. ( sqrt{frac{6 sigma}{g(2 rho-d)}} ) D. ( sqrt{frac{12 sigma}{g(2 rho-d)}} ) | 11 |

231 | At what depth in an ocean will a bubble of air have one fifth the volume is will have on reaching the surface? (Atmospheric pressure ( =76 mathrm{cm} ) of ( mathrm{Hg} ) and density of ( mathrm{Hg}=13.6 mathrm{gcm}^{-3} ) | 11 |

232 | Fill in the blank. The pressure exerted on a surface by an object increases as the weight of the object or the surface area of contact A. decreases, increases B. increases, increases c. increases, decreases D. decrases, decreases | 11 |

233 | A cubical block of side ( 10 mathrm{cm} ) floats at the interface of an oil and water as shown in the figure. The density of oil is ( 0.6 g c m^{-3} ) and the lower face of ice cube is ( 2 c m ) below the interface. The pressure above that of the atmosphere at the lower face of the block is A. ( 200 P a ) с. 900 Ра D. ( 800 P a ) | 11 |

234 | A small steel ball falls through a syrup at a constant speed of ( 10 mathrm{cm} / mathrm{sec} ). If the steel ball is pulled upwards with a force equal to twice its effective weight; how fast will it move upwards? A. ( 10 mathrm{cm} / mathrm{sec} ) в. ( 20 mathrm{cm} / mathrm{sec} ) ( mathrm{c} cdot 5 mathrm{cm} / mathrm{sec} ) D. ( 0 mathrm{cm} / mathrm{sec} ) | 11 |

235 | It is difficult to cut cloth using a pair of scissors with blunt blades. Explain. | 11 |

236 | A siphon has a uniform circular base of diameters ( 8 / sqrt{pi} mathrm{cm} ) with its crest ( boldsymbol{A} ) 1.8 ( m ) above the water level vessel ( B ) is of large cross section ( left(boldsymbol{g}=mathbf{1 0 m} / boldsymbol{s}^{2}right) ) and atmosphere pressure ( boldsymbol{P}_{0}= ) ( mathbf{0}^{mathbf{5}} mathbf{N} / mathbf{m}^{mathbf{2}} mathbf{)} ) This question has multiple correct options A. Velocity of flow through pipe is ( 6 sqrt{2} mathrm{m} / mathrm{s} ) B. Discharge rate of flow through pipe is ( 96 sqrt{2} times ) ( 10^{-4} m^{3} / s ) C. Velocity of flow through pipe is ( 6 mathrm{m} / mathrm{s} ) D. Pressure of ( A ) is ( 0.46 times 10^{-5} mathrm{N} / mathrm{m}^{2} ) | 11 |

237 | Sometimes you see a fountain of water rucshing out of the leaking joints (or holes) in the pipes of main water supply line in the city. Why does it happen? | 11 |

238 | What is the magnitude of force required to newton’s produce a pressure of ( 37500 P a ) in an area of ( 300 c m^{2} ? ) | 11 |

239 | Fig. shows a brick of weight 2 kgf and dimensions ( 20 mathrm{cm} times 10 times mathrm{cm} times 5 mathrm{cm} ) placed in three different positions on the ground. Find the pressure exerted by the brick in each case. | 11 |

240 | At a depth of ( 1000 mathrm{m} ) in the ocean,what is the gauge pressure when density of sea water is given ( 1.03 times 10^{3} mathrm{kgm}^{-3} ) ? Take ( boldsymbol{g}=mathbf{1 0 m s}^{-mathbf{2}} ) A. 675 atm B. 103 atm c. 203 atm D. 244 atm | 11 |

241 | If soap bubbles of different radii are in communication with each other A. Air flows from the larger bubble into the smaller one until the two bubbles are of equal size B. The sizes of the bubbles remain unchanged c. Air flows from the smaller into the larger one and larger bubble grows at the expense of the smaller one D. None of these | 11 |

242 | A sphere of mass ( mathrm{m} ) and radius ( r ) is projected in a gravity free space with speed ( v . ) If coefficient of viscosity of the medium in which, it moves is ( frac{1}{6 pi}, ) then the distance travelled by the body before it stops, is: A ( cdot frac{m v}{2 r} ) в. ( frac{2 m v}{r} ) c. ( frac{m v}{r} ) D. ( frac{m v}{4 r} ) | 11 |

243 | Assertion A solid sphere placed in the fluid under high pressure is compressed uniformly on all sides. Reason The volume of solid sphere will decrease with change of its geometrical shape. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

244 | A vessel is filled with water and kerosene oil. The vessel has a small hole in the bottom. Neglecting viscosity if the thickness of water layer is ( h_{1} ) and kerosene layer is ( h_{2} ) then the velocity ( v ) of flow of water will be (Given: density of water is ( rho_{1} ) g/ ( c c ) and that of kerosene is ( rho_{2} ) g/cc, neglecting viscosity): A ( . v=sqrt{2 gleft(h_{1}+h_{2}right)} ) B. ( v=sqrt{2 gleft[h_{1}+h_{2}left(frac{rho_{2}}{rho_{1}}right)right]} ) C. ( v=sqrt{2 gleft(h_{1} rho_{1}+h_{2} rho_{2}right)} ) D ( v=sqrt{2 gleft[h_{1}left(frac{rho_{1}}{rho_{2}}right)+h_{2}right]} ) | 11 |

245 | When an air bubble moves up from the bottom of a lake a) velocity decreases and becomes zero b) acceleration increases and becomes zero c) velocity increases and becomes constant d) acceleration decreases and becomes zero ( A cdot a, d ) are correct B. a, b are correct c. ( c, ) d are correct D. c is correct | 11 |

246 | Two identical cylindrical vessels with their bases at the same level; contain liquid of density ( rho . ) The area of both is ( S ) but the height of liquid in one vessel is ( h_{1} ) and in other ( h_{2} . ) The work done when both cylinders are connected, by gravity in equalising levels is: A ( cdot frac{1}{4} g rho Sleft(h_{2}-h_{1}right)^{2} ) в. ( g rho Sleft(h_{2}-h_{1}right)^{2} ) c. ( g rho Sleft(h_{2}-h_{1}right) ) D. ( frac{1}{4} g rho Sleft(h_{2}-h_{1}right) ) | 11 |

247 | The space above the mercury in a simple barometer is called A. Torcelian vacuum B. Newton’s vacuum c. Archimede’s vacuum D. None of these | 11 |

248 | The volume of an air bubble becomes three times as it rises from the bottom of a take to its surface. Assuming atmospheric pressure to be ( 75 mathrm{cm} ) of ( mathrm{Hg} ) and the density of water to be ( frac{1}{10} ) of the density of mercury, the | 11 |

249 | toppr Q Type your question coefficient of viscosity ( eta ) and density ( boldsymbol{rho}left(<frac{sigma}{2}right) . ) If the length of the liquid column is sufficiently long, the terminal velocity attained by the ball is given by (assume all pulleys to be mass-less and string as mass-less and inextensible): A ( cdot frac{2}{9} frac{r^{2}(2 sigma-rho) g}{eta} ) B ( cdot frac{1}{9} frac{r^{2}(sigma-2 rho) g}{eta} ) c. ( frac{2}{9} frac{r^{2}(sigma-4 rho) g}{eta} ) D. | 11 |

250 | A thin uniform square plate ( A B C D ) of side ( a ) and mass ( m ) is suspended in a vertical plane as shown in the figure. ( A E ) and ( B F ) are two massless inextensible strings. The line ( A B ) is horizontal. The tension in ( A E ) just after ( B F ) is cut will be A ( cdot frac{2 m g}{5} ) в. ( m g ) c. ( frac{2 m g}{7} ) D. ( frac{3 m g}{5} ) | 11 |

251 | In hydraulic machine, the two pistons are of area of cross section in the ratio 1: 10. What force is needed on the narrow piston to overcome a force of ( 100 N ) on the wider piston? | 11 |

252 | A sphere of mass ( mathrm{M} ) and radius ( mathrm{R} ) is falling in a viscous fluid. The terminal velocity attained by the falling object will be proportional to: A ( cdot R^{2} ) B. c. ( frac{1}{R} ) D. ( frac{1}{R^{2}} ) | 11 |

253 | With the increasing altitude, gauge pressure: A. increases B. decreases c. remains same D. becomes zero | 11 |

254 | In a car lift, compressed air exerts a force ( F ) on a small piston having a radius of ( 5 mathrm{cm} . ) This pressure is transmitted to a second piston of radius ( 15 mathrm{cm} . ) If the mass of the car to be lifted is ( 1350 k g ), what is ( F ? ) A . ( 1.5 times 10^{3} N ) В. ( 2.5 times 10^{3} N ) c. ( 3.5 times 10^{3} N ) D. ( 4.5 times 10^{3} N ) | 11 |

255 | How is the unit bar related to the S.I. unit pascal? A . ( 1 b a r=10^{5} ) pascal B. 1pascal = 10 ( ^{5} ) bar c. ( 1 b a r=10 ) pascal D. ( 1 b a r=1 ) pascal | 11 |

256 | toppr Q Type your question the liquid columns in the two tubes? ( A ) (1) ( B ) (2) ( c ) (3) ( D ) (4) | 11 |

257 | Horizontal force ( boldsymbol{F} ) to keep the cylinder in static equilibrium, if it is placed on a smooth horizontal plane, is ( A cdot 7.2 N ) B. ( 10 N ) c. ( 15.5 N ) D. ( 20.4 N ) | 11 |

258 | Write short note on ‘Pressure Cooker’. | 11 |

259 | Figures ( (a) ) and ( (b) ) refer to the steady flow of a (non-viscous) liquid. Which of the two figures is incorrect? Why? | 11 |

260 | A tank is filled with water up to a height H. Water is let out of a hole ( P ) from one of the walls, at a depth ( D ) below the surface of the water. Express the range of the efflux ( x ) in terms of ( H ) and ( D ) | 11 |

261 | A liquid of density ( 12 k g m^{-3} ) exerts a pressure of ( 600 P a ) at a point inside a liquid. What is height of liquid column above that point? ( left(boldsymbol{g}=mathbf{1 0 m} boldsymbol{s}^{-1}right) ) | 11 |

262 | During the rocket propulsion, gases ejecting with velocity ( 1 k m / s ) relative to rocket. The rate of fuel consumption is ( frac{boldsymbol{m}}{mathbf{1 0}} boldsymbol{k g} / boldsymbol{s}, ) where ( boldsymbol{m} ) is the instantaneous mass of the rocket. If air resistance varies according to equation ( boldsymbol{f}= ) ( 0.15 m v, ) then terminal velocity of the rocket is:- A. ( 300 mathrm{m} / mathrm{s} ) в. ( 600 mathrm{m} / mathrm{s} ) c. ( 7.92 mathrm{m} / mathrm{s} ) D. ( 11.2 mathrm{m} / mathrm{s} ) | 11 |

263 | A large tank is filled with water (density ( rho ), upto height h. Water is coming out from section (4). Fluid pressure at section (3) is: (Given ( : A_{2}=A_{4}=2 A_{3} ) and ( boldsymbol{A}_{2}, boldsymbol{A}_{3}, boldsymbol{A}_{4}<<boldsymbol{A}_{1} ; ) atmospheric pressure ( =P_{0} . ) Assume water to be nonviscous and incompressible. A. ( P_{0}+rho g h ) в. ( P_{0}-rho g h ) ( c ) D. ( P_{0}-3 rho g h ) | 11 |

264 | has a 250 mm diameter propeller that discharges the water at a velocity of ( 12 m / s . ) Given that the density of seawater is ( 1030 mathrm{kg} / mathrm{m}^{3} . ) The effect of propeller hub is negligible. The magnitude of thrust produced ( boldsymbol{F} ) is (in ( N) ) A. 1030 B. 2730 ( c cdot 4660 ) D. 98 | 11 |

265 | The initial speed with which water flows out from the orifice in ( mathrm{ms}^{-1} ) is ( mathrm{g} ) ( left.=10 mathrm{ms}^{-2}right) ) A . 10 B. 5 ( c cdot 5 cdot sqrt{2} ) D. ( 10 . sqrt{2} ) | 11 |

266 | Air creates as much pressure as created by ( ldots ldots . c m ) of vertical height of mercury column in a simple barometer. A .22 B. 36 6 c. 76 D. 260 | 11 |

267 | Differentiate between streamline and turbulent flow. | 11 |

268 | A cylinder of mass 5 kg is held in vertical position. If the height of the cylinder is ( 6 mathrm{cm} ) and radius of cross section is ( 4 mathrm{cm} ) then find the pressure acting on its bottom surface. | 11 |

269 | Q Type your question det u lu maximum flow of 10 litres/min at the bottom of the tank, but the output is proportional to the water present in the tank at any given time. How will the ( v ) volume of water content in the tank, change with time? ( A ) B. ( c ) D. | 11 |

270 | An oil drop falls through air with a terminal velocity of ( 5 times 10^{-4} m / s . ) The terminal velocity of a drop with half of the initial radius will be ? Neglect density of air as compared to that of oil. (Viscosity of air ( =frac{18 times 10^{-5}}{5} N-s / m^{2} ) ( g=10 m / s^{2}, ) density of oil ( =900 mathrm{kg} / mathrm{m}^{3} ) ) A ( cdot 3.25 times 10^{-4} m / s ) в. ( 2.10 times 10^{-4} mathrm{m} / mathrm{s} ) c. ( 1.5 times 10^{-4} m / s ) D. ( 1.25 times 10^{-4} mathrm{m} / mathrm{s} ) | 11 |

271 | toppr Q Type your question piston can enter a cylınaer tıgntıy ana without friction, and initially it is at the bottom of the cylinder. ( 750 g m ) of water is now poured into the pipe so that the piston and pipe are lifted up as show. Then This question has multiple correct options ( A ) the height ( H ) of water in the cylinder is ( -n ) B. the height ( H ) of water in the cylinder is ( frac{11}{32 pi} m ) c. the height ( h ) of water in the pipe is ( frac{2}{pi} ) the height ( h ) of water in the pipe is ( frac{11}{32 pi} m ) | 11 |

272 | At sea level, the vertical height of mercury supported in the tube of simple barometer is above the mercury level in the bowl A . 36 B. 76 c. 100 D. | 11 |

273 | Under isothermal condition, energy ( boldsymbol{E} ) is supplied to a soap bubble of surface tension ( sigma ) and radius ( r ) to double the radius of the soap bubble. The value of ( boldsymbol{E} ) is: A ( cdot 16 pi r^{2} sigma ) B. 24 ( pi r^{2} sigma ) ( mathbf{c} cdot 8 pi r^{2} sigma ) D. ( 12 pi r^{2} sigma ) | 11 |

274 | The atmospheric pressure at the surface of the earth is about: A ( cdot 10^{2} N m^{-2} ) B . ( 10^{5} mathrm{Nm}^{-2} ) D. ( 10^{-5} N m^{-2} ) | 11 |

275 | The work done to split a liquid drop of radius R into N identical drops is (take ( sigma ) as the surface tension of the liquid): A ( cdot 4 pi R^{2}left(N^{1 / 3}-1right) sigma ) B . ( 4 pi R^{2} N sigma ) C ( cdot 4 pi R^{2}left(N^{1 / 2}-1right) ) D. None of these | 11 |

276 | A perpendicular force is applied to a certain area and produces a pressure ( boldsymbol{P} ) If the same force is applied to a twice bigger area, the new pressure on the surface is: A ( cdot frac{P}{2} ) в. ( frac{P}{3} ) c. ( frac{P}{4} ) D. none | 11 |

277 | A cylinder of height ( 20 mathrm{m} ) is completely filled with water. The velocity of efflux of water (in ( mathrm{ms}^{-1} ) ) through a small hole on the side wall or the cylinder near its bottom is: ( A cdot 10 mathrm{m} / mathrm{s} ) B. 20 m/s c. ( 25.5 mathrm{m} / mathrm{s} ) D. ( 5 mathrm{m} / mathrm{s} ) | 11 |

278 | Three tubes ( A, B ) and ( C ) are connected to a horizontal pipe in which liquid is flowing. The radii of pipe at the joints of ( A, B ) and ( C ) are ( 2 c m, 1 c m ) and ( 2 c m ) respectively. The height of liquid: ( A ). in A and B is equal B. in A is maximum ( c . ) in ( A ) and ( C ) is same D. is same in all three | 11 |

279 | A steel wire of original length ( 1 mathrm{m} ) and cross-sectional area ( 4.00 mathrm{mm}^{2} ) is clamped at the two ends so that it lies horizontally and without tension. If a load of ( 2.16 mathrm{kg} ) is suspended from the middle point of the wire, what would be its vertical depression?Y of the steel ( = ) ( mathbf{2 . 0} times mathbf{1 0}^{1 mathbf{1}} mathbf{N m}^{-mathbf{2}} ) take ( mathfrak{g}=10 m s^{-2} ) | 11 |

280 | Assertion The blood pressure in humans is greater at the feet than at the brain Reason Pressure of a liquid is hdg A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct | 11 |

281 | jacks can be categorized based on which types of forces from below A. Mechanical and hydraulic B. Mechanical and kinetic c. Kinetic and potential D. Hydraulic and rotational | 11 |

282 | A small sphere of radius ( r, ) falls from rest in a viscous liquid. As a result, heat is produced due to viscous force. The rate of production of heat when the sphere attains its terminal velocity, is proportional to A ( cdot r^{5} ) в. ( r^{3} ) ( c cdot r^{4} ) D ( cdot r^{2} ) | 11 |

283 | Two liquid jets coming out of the small holes at ( P ) and ( Q ) intersect at the point ( R ) Find the position of ( R ) if we maintain the liquid level constant A ( cdot sqrt{2} h ) B. ( 2 sqrt{2} h ) ( c cdot 3 sqrt{2} h ) D. ( 5 sqrt{2} h ) | 11 |

284 | A film of water is formed between two straight parallel wires of length ( 10 mathrm{cm} ) each, separated by ( 0.5 mathrm{cm} . ) If their separation is to be increased by 1 m ( m ) while still maintaining their parallelism, how much work will have to be done? ( left[boldsymbol{T}=mathbf{7 . 2} times mathbf{1 0}^{-mathbf{2}} boldsymbol{N} / boldsymbol{m}right] ) | 11 |

285 | The area of the piston in hydraulic machine are ( 10 mathrm{cm}^{2} ) and ( 225 mathrm{cm}^{2} ). The force required on the smaller piston to support a load of ( 1000 N ) on the larger piston. A ( .44 .44 mathrm{N} ) B. 55.55 c. 33.33 N D. 4.44 N | 11 |

286 | What is pressure on swimmer ( 10 mathrm{m} ) below the surface of a lake? Atmospheric pressure is | 11 |

287 | The liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following. A. The speed is high at the wider end and high at the narrow end B. The speed is low at the wider end and high at the narrow end c. The speed is same at both ends in a stream line flow. D. The liquid flows with uniform velocity in the tube | 11 |

288 | The velocity of the wind over the surface of the wing of an aeroplane is 80 and under the wing 60 if the area of the wing is 4 the dynamic lift experienced by the wing is density of air. | 11 |

289 | What is a Venturimeter? On what principle does the Venturimeter work? | 11 |

290 | A solid cone of height ( H ) and base radius ( H / 2 ) floats in a liquid of density ( rho . ) It is hanging from the ceiling with the help of string. The force by the fluid on the curved surface of the cone is ( left(P_{0}=right. ) atmospheric pressure) A ( cdot pi H^{2}left(frac{p_{0}}{4}+frac{rho g H}{3}right) ) ( ^{text {В }} cdot frac{pi H^{4}}{2} cdot rho g ) c. ( frac{pi H^{2}}{4}left(frac{p_{0}}{4}+rho g Hright) ) D. ( frac{pi H^{2}}{4}left(p_{0}+rho g Hright) ) | 11 |

291 | A rectangular tank of base area ( 100 m^{2} ) has a height of 2 m. Calculate the thrust at the bottom of the tank, if it is filled upto the brim with water of density ( 10^{3} k g m^{-3} ) | 11 |

292 | What is the force in ( y ) direction if the plate is given a constant velocity ‘ ( u ) ‘ in the direction of ( v ? ) A ( cdot rho A(v-u)^{2} sin 2 theta ) В ( cdot_{rho A}(v-u)^{2} sin theta ) c. ( rho Aleft(v^{2}-u^{2}right) sin theta ) D. None of these | 11 |

293 | A ball of weight ( mathrm{W} ) is supported on a vertical jet of water. If the stream of water flowing from the nozzle has a diameter ( D ) and velocity ( u, ) determine the value of H. Assume that no loss of energy takes place | 11 |

294 | A metal ball of radius ( 2 mathrm{mm} ) and density ( 10.5 mathrm{gmcm}^{-3} ) is dropped in glycerine of coefficient of viscosity 9.8 poise and density ( 1.5 mathrm{gm} mathrm{cm}^{-3} ). The terminal velocity of the ball in ( mathrm{cm} s^{-1} ) is: ( A cdot 2 ) B. 4 ( c cdot 6 ) D. 8 | 11 |

295 | The Sl unit of hydro-static pressure is : A. Pa B. ( N m^{-1} ) c. ( mathrm{Nm} ) D. ( k g ) wt ( m^{-2} ) | 11 |

296 | The Sl units of thrust and pressure are respectively given by : A. ( N, N m^{2} ) В. ( N, N m^{-2} ) c. ( N m^{-1}, N m^{-2} ) D. ( N m^{-2}, N ) | 11 |

297 | The diameter of a piston ( P_{2} ) is ( 50 mathrm{cm} ) and that of a piston ( P_{1} ) is ( 10 mathrm{cm} ). What is the force exerted on ( P_{2} ) when a force of ( mathbf{1} N ) is applied on ( boldsymbol{P}_{1} ? ) | 11 |

298 | The maximum number of jets generally employed in an impulse turbine without jet interference are ( A cdot 6 ) B. 5 ( c cdot 7 ) D. 8 | 11 |

299 | The empty space above mercury in a simple barometer is called vaccum A . pressure B. barometric c. torricellian D. mercuric | 11 |

300 | A pressure meter attached to a closed water tap reads ( 1.5 times 10^{5} ) Pa. When the ( operatorname{tap} ) is opened, the velocity of flow of water is ( 10 mathrm{ms}^{-1} ) and the reading of the pressure meter is A . ( 1.5 times 10^{5} mathrm{Pa} ) B. ( 3 times 10^{5} mathrm{Pa} ) c. ( 0.5 times 10^{5} mathrm{Pa} ) D. ( 10^{5} mathrm{Pa} ) | 11 |

301 | Liquid pressure is measured using a A. barometer B. manometer c. sphigmomanometer D. thermometer | 11 |

302 | The foot of an elephant has an area of ( 275 c m^{2} . ) If the mass of elephant is 2200 kg, find the pressure exerted by the elephant on the ground. ( left(g=10 m s^{-2}right) ) If your answers ( x ) find the value of ( frac{x}{10^{5}} ) | 11 |

303 | A manometer connected to a closed tap reads ( 3.5 times 10^{5} N / m^{2} . ) When the value is opened,the reading of manometer fall to ( 3.0 times 10^{5} N / m^{2}, ) then velocity of flow of water is A. ( 100 mathrm{m} / mathrm{s} ) в. ( 1 mathrm{m} / mathrm{s} ) ( c cdot 10 m / s ) D. ( 10 sqrt{10} mathrm{m} / mathrm{s} ) | 11 |

304 | Water is flowing continuously from a tap having an internal diameter ( 8 times 10^{-3} ) m. The water velocity as it leaves the tap is ( 0.4 mathrm{m} mathrm{s}^{-1} ). The diameter of the water stream at a distance ( 2 times 10^{-1} mathrm{m} ) below the tap is close to ( A cdot 5.0 times 10^{-3} mathrm{m} ) B. 7.5 ( times 10^{-3} mathrm{m} ) c. ( 9.6 times 10^{-3} mathrm{m} ) D. 3.6 ( times 10^{-3} mathrm{m} ) | 11 |

305 | The height of water in a capillary tube of radius ( 2 c m ) is ( 4 c m . ) What should be the radius of capillary, if the water rises to ( 8 c m ) in tube? A ( .1 mathrm{cm} ) в. ( 0.1 mathrm{cm} ) ( c .2 c m ) D. ( 4 c m ) | 11 |

306 | Assertion An object from a greater height reaches a steady terminal velocity. Reason The viscous forces on a body depends upon its velocity. The greater the velocity the greater is the viscous force. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct | 11 |

307 | Two equal drops of water are falling through air with a steady velocity of ( 10 mathrm{cm} / mathrm{s} ). If the drops recombine to form a single drop then the terminal velocity is: A ( cdot 2^{frac{2}{5}} times 5 ) cm / ( s ) B . ( 2^{frac{2}{5}} times 10 mathrm{cm} / mathrm{s} ) c. ( 2^{frac{2}{5}} times 15 mathrm{cm} / mathrm{s} ) D. ( 2^{frac{2}{5}} times 4 ) cm ( / s ) | 11 |

308 | In steady horizontal flow: A. the pressure is greatest where the speed is leas B. the pressure is independent of speed C. the pressure is least where the speed is least D. (a) and (c) are correct | 11 |

309 | Which of the following is a characteristic of turbulent flow? A. velocity more than critical velocity B. irregular flow C . molecules crossing from one layer to the other D. All of the above | 11 |

310 | Pressure ( 3 mathrm{m} ) below the free surface of a liquid is ( 15 ~ K N / m^{2} ) in excess of atmosphere pressure. Determine its density and specific gravity. ( [mathrm{g}=10 ) ( left.boldsymbol{m} / boldsymbol{s e c}^{2}right] ) | 11 |

311 | A glass flask of volume ( 200 mathrm{cm}^{3} ) is just filled with mercury at ( 20 C ). The amount of mercury that will overflow when the temperature of the system is raised to ( 100 C ) is: ( gamma_{text {glass}}=1.2 times 10^{-5} / C^{circ}, gamma_{text {mercury}}= ) ( 1.8 times 10^{-4} / C^{circ} ) A ( .2 .15 mathrm{cm}^{3} ) В. ( 2.69 c m^{3} ) ( c .2 .52 c m^{3} ) D. ( 2.25 mathrm{cm}^{3} ) | 11 |

312 | Work done in splitting a drop of water of 1 mm radius into 64 droplets is (surface tension of water ( 72 times ) ( left.10^{-3} J / m^{2}right) ) A . ( 2.0 times 10^{-6} J ) в. ( 2.4 times 10^{-6} J ) C ( .4 times 10^{-6} J ) D. ( 5.4 times 10^{-6} J ) | 11 |

313 | At what depth in an ocean will a bubble of air have one fifth the volume it will have on reaching the surface? (Atmosphere pressure ( -mathbf{7 6} ) cm of ( mathrm{Hg} ) and density of ( boldsymbol{H} boldsymbol{g}=mathbf{1 3 . 6} boldsymbol{g} boldsymbol{c m}^{-mathbf{3}} mathbf{)} ) | 11 |

314 | In old age arteries carrying blood in the human body become narrow resulting in an increase in the blood pressure. This follows from: A. Pascal’law B. Stoke’s law c. Bernoulli’s principle D. Archimedes principle | 11 |

315 | Find the pressure exerted by a man weighing ( 90 k g ) on the ground. (a) when he is standing on one of his feet having an area of ( 90 mathrm{cm}^{2} ) (b) when he is lying flat. The area of his body in contact with the ground is ( 0.9 m^{2} . ) Given ( g=10 m s^{-2} ) | 11 |

316 | The addition of soap changes the surface tension of water to ( T_{1} ) and that of salt solution changes to ( T_{2} ). Then: A ( cdot T_{1}=T_{2} ) в. ( T_{1}>T_{2} ) c. ( T_{1}<T_{2} ) D. ( T_{1} geq T_{2} ) | 11 |

317 | Sea water of density ( 1300 k g m^{-3} ) exerts a pressure of ( 104 times 10^{5} P a ) on the floor. Calculate the depth of the sea at that place ( left(boldsymbol{g}=mathbf{1 0 m} boldsymbol{s}^{-2}right) ) | 11 |

318 | If the surface of a liquid is plane, then the angle of contact of the liquid with the walls of container is A . Acute angle B. obtuse angle ( c .90^{circ} ) D. ( 0^{circ} ) | 11 |

319 | A solid uniform ball having volume ( boldsymbol{V} ) and density ( rho ) floats at the interface of two immiscible liquids as shown in figure. The densities of the upper and the lower liquids are ( rho_{1} ) and ( rho_{2} ) respectively, such that ( rho_{1}<rho<rho_{2} ) What fraction of the volume of the ball will be in the lower liquid :- ( A ) B. c. ( frac{rho_{1}-rho}{rho_{1}-rho_{2}} ) D. ( frac{rho_{1}-rho_{2}}{rho_{2}} ) | 11 |

320 | When we press the bulb of a dropper,with its nozzle kept under water ,air in the dropper is seen to escape in the form of bubbles.lf we then,release the pressure on the bulb,water gets filled in the dropper.The rise in water in the dropper is due to A. Liquid pressure B. Weight of the bulb c. Gravity of the earth D. Atmospheric pressure | 11 |

321 | A spherical ball of iron of radius ( 2 mathrm{mm} ) is falling through a column of glycerine. If densities of glycerine and iron are respectively ( 1.3 times 10^{3} mathrm{kg} / mathrm{m}^{3} ) and ( 8 times ) ( 10^{3} mathrm{kg} / mathrm{m}^{3} . ) eta for glycerine ( = ) ( 0.83 mathrm{Nm}^{-2} ) sec, then the terminal velocity is: A. ( 0.7 mathrm{m} / mathrm{s} ) B. ( 0.07 mathrm{m} / mathrm{s} ) c. ( 0.007 mathrm{m} / mathrm{s} ) D. ( 0.0007 mathrm{m} / mathrm{s} ) | 11 |

322 | A tank is filled with water of density 1 g ( c m^{-3} ) and oil of density ( 0.9 mathrm{g} mathrm{cm}^{-3} . ) The height of water layer is ( 100 mathrm{cm} ) and of the oil layer is ( 400 mathrm{cm} . ) If ( g=980 mathrm{cm} s^{-2} ) then the velocity of efflux from an opening in the bottom of the tank is : B . ( sqrt{900 times 980} mathrm{cms}^{-1} ) c. ( sqrt{1000} times 980 c mathrm{cms}^{-1} ) D. ( sqrt{92 times 980} mathrm{cms}^{-1} ) | 11 |

323 | The factors, on which pressure depend are surface area and A. atmospheric pressure B. force applied c. shape of surface D. mass of the body | 11 |

324 | The center of pressure of surface subjected to fluid pressure is the point A. on the surface at which resultant pressure acts B. on the surface at which gravitational force acts c. equal to volume of liquid displaced D. none | 11 |

325 | A spherical solid ball of volume ( V ) is made of a material of density ( rho_{1} ) It is falling through a liquid of density ( rho_{1}left(rho_{2}mathbf{0}) ) The terminal speed of the ball is: A ( cdot sqrt{frac{V gleft(rho_{1}-rho_{2}right)}{k}} ) в. ( frac{V g rho_{1}}{k} ) c. ( sqrt{frac{V g rho_{1}}{k}} ) D. ( frac{V gleft(rho_{2}<rho_{1}right)}{k} ) | 11 |

326 | State the principle on which a hydraulic press works. A. Archimedes principle B. Bernoulli’s principle c. Pascals Law D. None of these | 11 |

327 | In a vacuum suspended unit, when the brakes are on, the piston and diaphragm has on both sides of it A. Atmospheric pressure B. Vacuum c. Hydraulic pressure D. Air pressure | 11 |

328 | A water drop is divided into 8 equal droplets. The pressure difference between the inner and outer side of the big drop will be A. same as for smaller droplet B. ( 1 / 2 ) of that for smaller droplet c. ( 1 / 4 ) of that for smaller droplet D. twice that for smaller droplet | 11 |

329 | Calculate the water pressure and the thrust at the bottom of a tank whose length, width and the depth are ( 2 m, 1.5 m ) and 1 m respectively. Density of water is ( 1000 mathrm{kg} mathrm{m}^{-3} ) | 11 |

330 | A steel ball is dropped in a viscous liquid. The distance of the steel ball from the top of the liquid is shown below. The terminal velocity of the ball is closest to: ( mathbf{A} cdot 0.26 m / s ) B. ( 0.33 mathrm{m} / mathrm{s} ) ( mathrm{c} cdot 0.45 mathrm{m} / mathrm{s} ) D. ( 0.21 mathrm{m} / mathrm{s} ) | 11 |

331 | A drawing pin is pushed against a wooden table with a force of ( 10 mathrm{N} ) Calculate the pressure exerted by the pin at a point on the table, if area of the point is ( 0.01 mathrm{cm}^{2} ) ( mathbf{A} cdot 10^{5} P a ) B . ( 10^{6} P a ) ( mathbf{c} cdot 10^{7} P a ) D. ( 10^{8} mathrm{Pa} ) | 11 |

332 | Where should a horizontal tube B connected, without causing any flow between the tanks? | 11 |

333 | A girl weighing 50 kgf wears sandals of pencil heel of area of cross section 1 ( c m^{2}, ) stands on a floor. An elephant weighing 2000 kgf stands on foot each of area of cross section ( 25 mathrm{cm}^{2}, ) on the floor. Compare the pressure exerted by them. | 11 |

334 | The potential energy of a molecules on the surface of a liquid compared to the one inside the liquid is : A. zero B. Lesser c. Equal D. Greater | 11 |

335 | Pressure exerted by a sharp needle on a surface is A. more than the pressure exerted by a blunt needle B. less than the pressure exerted by a blunt needle C . equal to the pressure exerted by a blunt needle. D. None of these | 11 |

336 | Atmosphere maintain the temperature on the surface of earth because A. It contains water vapour in it B. It holds air, which is a bad conductor of heat c. It reflects the heat rays. D. It absorbs the heat rays | 11 |

337 | Fill in the blank. Atmospheric pressure with increase in altitude. A. increases B. decreases c. remains constant D. may increase or decrease | 11 |

338 | In the hydraulic braking system, the piston in the master cylinder is connected by mechanical linkage to the A. Wheel cylinders B. Brake shoes c. Brake pedal D. wheel pedal | 11 |

339 | Speed of efflux is A ( cdot sqrt{3 g h} ) в. ( sqrt{2 g h} ) ( c cdot sqrt{g h} ) D. ( frac{1}{2} sqrt{2 g h} ) | 11 |

340 | Water flows through the tube as shown in figure. The areas of cross-section of the wide and the narrow portions of the tube are ( 5 c m^{2} ) and ( 2 c m^{2} ) respectively. The rate of flow of water through the tube is ( 500 mathrm{cm}^{3} / mathrm{s} ). Find the difference of mercury levels in the U- tube. | 11 |

341 | Which of the following is a consequence of atmospheric pressure? A. Drinking a soft drink through a straw B. Natural breathing process c. working of a liquid dropper D. All of these | 11 |

342 | There is a hole in the bottom of tank having water. If total pressure at bottom is 3 atm ( left(1 text { at } m=10^{5} N / m^{2}right) ) then the velocity of water flowing from hole is: ( mathbf{A} cdot sqrt{400} m / s ) B. ( sqrt{600} mathrm{m} / mathrm{s} ) c. ( sqrt{60} m / s ) D. None of these | 11 |

343 | A person presses the earth least where he is : A. Sitting B. Standing c. Running D. Lying on the ground | 11 |

344 | A ball of mass ( mathrm{m} ) and radius ( mathrm{r} ) is released in the viscous liquid. The value of its terminal velocity is proportional to ( ^{A} cdotleft(frac{1}{r}right) ) only в. ( frac{m}{r} ) c. ( left(frac{m}{r}right)^{1 / 2} ) D. m only | 11 |

345 | Ramesh tries to pull a box placed on a smooth table.He now places the box on an array of pencils,observe the amount of force used in both the cases.ls it easier to move the box with the pencils or without them. | 11 |

346 | A raindrop falls near the surface of the earth with almost uniform velocity because: A. its weight is negligible. B. the force of surface tension balances its weight c. the force of viscosity of air balances its weight. D. the drops are charged and atmospheric electric field balances its weight | 11 |

347 | A piston of cross-sectional area ( 100 mathrm{cm}^{2} ) is used in a hydraulic press to exert a force of ( 10^{7} ) dyne on the water. The cross sectional area of the other piston which supports an object having a mass of ( 2000 mathrm{kg} ) is A ( cdot 100 mathrm{cm}^{2} ) B. ( 10^{9} mathrm{cm}^{2} ) c. ( 2 times 10^{4} mathrm{cm}^{2} ) D. ( 2 times 10^{10} mathrm{cm}^{2} ) | 11 |

348 | State True or False. A barometric liquid having high density produces a shorter column of liquid. A. True B. False | 11 |

349 | A large tank is filled with water to a height H. A small hole is made at the base of the tank. It takes 71 time to decrease the height of water to ( frac{H}{eta}(eta> ) 1) and ( T_{2} ) time to take out the rest of 11 water. If ( T_{1}=T_{2} ) then the value of ( eta ) is ( A cdot 2 ) B. 4 ( c cdot 6 ) D. 8 | 11 |

350 | A water drop of radius 1 m ( m ) is sprayed into ( 10^{6} ) droplets of same size at constant temperature. If surface tension of water is ( 72 times 10^{-3} N / m ) then the work done is A ( .8 .95 times 10^{-5} ) ergs B. ( 8.95 times 10^{-5} mathrm{J} ) c. ( 17.9 times 10^{-5} mathrm{J} ) D. ( 17.9 times 10^{-5} ) ergs | 11 |

351 | (a). Name the forces acting on a plastic bucket containing water held above ground level in your hand. (b). Discuss why the force acting on the bucket do not bring change its state of motion? (c). Why do porters place a round of cloth on their heads when they have to carry heavy loads? | 11 |

352 | A solid of density ( D ) is floating in a liquid of density ( d . ) If ( v ) is the volume of solid submerged in the liquid and ( V ) is the total volume of the solid, then ( v / V ) equals to A ( cdot frac{d}{V} ) в. ( frac{D}{d} ) c. ( frac{D}{(D+d)} ) D. ( frac{D+d}{D} ) | 11 |

353 | The magnitude of pressure measured in Sl system is greater than that measured in CGS system. A. True B. False | 11 |

354 | A cubical block of wood of length 5 cm is kept on a table top. The density of the block is ( 800 k g / m^{2} ) and ( g=9.8 m / s^{2} ) Find the pressure exerted by the wooden block on the table top. | 11 |

355 | A steam of water flowing horizontally with a speed of ( 25 m s^{-1} ) gushes out of a tube of cross-sectional area ( 10^{-3} m^{2} ) and hits at a vertical wall nearby. What is the force exerted on the wall by the impact of water? A . ( 125 N ) в. 625 N c. ( -650 N ) D. ( -1125 N ) | 11 |

356 | Toricelli’s barometer used mercury. Pascal duplicated it using French wine of density ( 984 mathrm{kg} mathrm{m}^{-3} . ) Determine the height of the wine column for normal atmospheric pressure. | 11 |

357 | If ( n ) identical water droplets falling under gravity with terminal velocity coalesce to form a single drop which has the terminal velocity ( 4 v ), find the number n. | 11 |

358 | Match of the physical quantities given here under having same units and dimensions Section-A a) e) ( frac{1}{2} rholeft(v_{2}^{2}-frac{2}{1}right) ) Kinematic viscosity b) Dynamic lift ( eta ) c) Bernoullis theorer g) a ( v= ) constant d) Equation h) ( p+frac{1}{2} rho v^{2}+rho g h= ) of continuity ( quad ) constant ( A cdot a-f ; b-e ; c-h ; d-g ) B. a-f; b-e; c-g; d-h c. a-g; b-f; c-e; d-h D. a-h; b-g; c-f; d-e | 11 |

359 | A force of ( 500 N ) acts on a square piece of plywood, each of whose sides is ( 5 m ) long. Calculate the pressure acting on the piece of plywood. A ( .500 mathrm{Nm}^{-2} ) B. ( 100 N m^{-2} ) c. ( 2500 N m^{-2} ) D. ( 20 N m^{-2} ) | 11 |

360 | The work done in driving a liquid through a pipe against a pressure difference of ( 200 mathrm{K} ) Pa between the ends of a pipe at ( 20 K m^{3} ) of water ( begin{array}{ll}text { A. } 2 times 10^{9} & text { J }end{array} ) В. ( 4 times 10^{9} ) Л begin{tabular}{ll} с. ( 8 times 10^{9} ) & Л \ hline end{tabular} D. ( 16 times 10^{9} J ) | 11 |

361 | A container having a hole at the bottom is free to move on a horizontal surface. As the liquid comes out, the container moves in a backward direction with an acceleration ( alpha ) and finally acquires a velocity v (when all the liquid has drained out). Neglect the mass of the container. The correct option out of the following is : A. Only v vepends on ( h ) B. Only ( alpha ) depends on h c. Both v and ( alpha ) depend on ( n ) D. Neither v nor ( alpha ) depends on ( h ) | 11 |

362 | Two soap bubbles of radii ( r_{1} ) and ( r_{2}left(r_{a}>r_{2}right) ) are connected by a tube Then. A . Air flows from the bubble of radius ( r_{1} ) to the bubble of radius ( r_{2} ) till their size become equal B. Air flows from the bubble of radius ( r_{1} ) to the bubble of radius ( r_{2} ) till their sizes are interchanged c. Air flows from smaller bubble to the bigger D. There is no flow of air | 11 |

363 | Based on the figure above, identify the correct statement (s) from the following: This question has multiple correct options | 11 |

364 | A typical river-borne silt particle has a radius of ( 20 mu m ) and a density of ( 2 times ) ( 10^{3} k g / m^{3} . ) The viscosity of water is 1.0 milli-poise. Find the terminal speed with which such a particle will settle to the bottom of a motionless volume of water | 11 |

365 | The surface tension of soap solution is ( 0.03 N / m . ) The work done in blowing to form a soap bubble of surface area ( 40 c m^{2}, ) in Joules, is: A ( cdot 1.2 times 10^{-4} ) B. ( 2.4 times 10^{-4} ) c. ( 12 times 10^{-4} ) D. ( 24 times 10^{-4} ) | 11 |

366 | Two soap bubbles of radii r and 2r are connected by a capillary tube-valve arrangement as shown in the diagram. The valve is now opened. Then which one of the following will be the result: A. The radii of the bubbles will remain unchanged B. The bubbles will have equal radii c. The radius of the smaller bubble will increase and that bigger bubble will decrease D. Ine radius of the smaller bubble will decrease and that of the bigger bubble will increase | 11 |

367 | A soap bubble of radius ( 3 mathrm{cm} ) is charged with surface charge density ( sigma ) such that ( frac{sigma^{2}}{epsilon_{0}}=0.4 S I ) units. The excess pressure inside the bubble in SI unit (surface tension of soap solution ( =3 times ) ( 10^{-3} mathrm{N} / mathrm{m} ) ) is: A . ( 0 . ) B. 0.2 c. 0.5 D. 0.25 | 11 |

368 | The net force exerted by fluid on moving plate is A. ( 0.6 N ) backwards B. ( 0.6 N ) forward c. ( 0.2 N ) backwards D. ( 0.2 N ) forward | 11 |

369 | What is the time required to empty the tank through the orifice at the bottom? | 11 |

370 | Assertion An ideal fluid is flowing through a pipe. Speed of fluid particles is more at places where pressure is low. Reason Bernoulli’s theorem can be derived from work-energy theorem. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

371 | ( A ) nail has ( 2 m^{2} ) at one end and ( frac{1}{100} m^{2} ) at other end. A force of ( 10 N ) is applied on the first end. Calculate the pressure acting on the wall? The answer is ( boldsymbol{p} times ) ( 10^{3} P a ) then ( p= ) | 11 |

372 | The same force acting on a smaller area exerts a larger pressure, and a smaller pressure on a larger area. A. True B. False c. Ambiguous D. Data insufficient | 11 |

373 | Water falls from a tap, down the streamline A. Area decreases B. Area increases c. velocity remains same D. Area remains same | 11 |

374 | Draw the diagram of mercury barometer. | 11 |

375 | Two rods of the same weight and equal length have different thickness. They are held vertically on the surface of sand as shown in Figure. Which one of them will sink more? Why? ( A ) B. B c. both sink same D. cant say | 11 |

376 | A vertical off-shore structure is built to withstand a maximum stress of ( 10^{9} ) Pa. Is the structure suitable for putting up on top of an oil well in the ocean ? Take the depth of the ocean to be roughly 3 ( mathrm{km}, ) and ignore ocean currents. | 11 |

377 | Under same depth, atmospheric pressure is water pressure. A. less than B. greater than C. equal to D. none of these | 11 |

378 | A liquid does not wet the solid surface if the angle of contact is then A. zero B . equal to ( 45^{circ} ) c. equal to ( 90^{circ} ) D. greater than ( 90^{circ} ) | 11 |

379 | Drops of liquid of density ( d ) are floating half immersed in a liquid of density ( rho . ) If the surface tension of liquid is ( boldsymbol{T} ) then the radius of the drop will be ( (boldsymbol{d}= ) density of liquid drop). A ( cdot sqrt{frac{3 T}{g(2 d-rho)}} ) в. ( sqrt{frac{6 T}{g(2 d-rho)}} ) c. ( sqrt{frac{2 T}{g(2 d-rho)}} ) D. ( sqrt{frac{3 T}{g(4 d-3 rho)}} ) | 11 |

380 | A manometer is used to measure the pressure of a gas trapped in a cylinder At which labelled point on the diagram is the pressure greatest? 4.4 в. ( B ) ( c . c ) D. ( D ) | 11 |

381 | A vessel ( A ) has volume ( V ) and vessel ( B ) has volume ( 2 V ) Both contain some water which has a constant volume.The pressure in the space above water is ( p_{a} ) for vessel ( boldsymbol{A} ) and ( boldsymbol{p}_{boldsymbol{b}} ) for vessel ( boldsymbol{B} ) ? A ( cdot p_{a}=p_{b} ) в. ( p_{a}=2 p_{b} ) ( mathbf{c} cdot p_{b}=2 p_{a} ) ( mathbf{D} cdot p_{b}=4 p_{a} ) | 11 |

382 | Calculate the greatest and least pressure exerted by a metal block of ( operatorname{size} 20 c m times 8 c m times 5 c m ) and having mass 5kg. Take ( boldsymbol{g}=mathbf{1 0 m} / boldsymbol{s}^{2} ) A. ( 12500 P a ; 3125 P a ) в. ( 11500 P a ; 3125 P a ) c. ( 13500 P a ; 5125 P a ) D. ( 12500 P a ; 5125 P a ) | 11 |

383 | When water flows through a pipe, which layer moves fastest? | 11 |

384 | A Pitot tube (Shown in figure above) is mounted along the axis of a gas pipeline whose cross-sectional area is equal to ( S ). Assuming the viscosity to be negligible, the volume of gas flowing across the section of the pipe per unit time, if the difference in the liquid columns is equal to ( Delta h, ) and the densities of the liquid and the gas are ( rho_{0} ) and ( rho ) respectively is ( Q= ) ( boldsymbol{S} sqrt{frac{boldsymbol{x} boldsymbol{Delta} boldsymbol{h} boldsymbol{rho}_{0} boldsymbol{g}}{boldsymbol{rho}}} . ) Find the value of ( boldsymbol{x} ) | 11 |

385 | A large cylindrical tank has a hole of area ( A ) at its bottom and water is poured into the tank through a tube of cross-section area ( boldsymbol{A} ) ejecting water at the speed ( v ). Which of the following is true? A. Water level in tank keeps on rising B. No water can be stored in the tank c. water level will rise to height ( v^{2} / 2 g ) and then stop D. The water level will be oscillating | 11 |

386 | The saturated vapour pressure of water at ( 100^{0} mathrm{C} ) is A. ( 750 mathrm{mm} ) o fHg B. 760 mm of Hg c. ( 76 mathrm{mm} ) of ( mathrm{Hg} ) D. 7.6 mm of Hg | 11 |

387 | If the difference between pressure inside and outside of a soap bubble is ( 6 m m ) of water and its radius is 8 mm. What is the surface tension in dynes per ( c m ) A .117 .6 в. 256 ( c .378 ) D. 450 | 11 |

388 | A large tank is filled with water to a height H. A small hole is made at the base of the tank. It takes 71 time to decrease the height of water to ( frac{H}{eta}(eta> ) 1) and ( T_{2} ) time to take out the rest of 11 water. If ( T_{1}=T_{2} ) then the value of ( eta ) is ( A cdot 2 ) B. 4 ( c cdot 6 ) D. 8 | 11 |

389 | Spherical balls of radius ( boldsymbol{R} ) are failing in a viscous fluid of viscosity ( eta ) with a velocity ( v . ) The retarding viscous force acting on the spherical ball is A. directly proportional to ( R ) but inversely proportional to ( v ) B. directly proportional to both radius ( R ) and velocity ( v ). c. inversely proportional to both radius ( R ) and velocity ( v ) D. inversely proportional to ( R ) but inversely proportional to ( v ) | 11 |

390 | A. liquid drop of radius ‘R’ breaks into 64 tiny droplets each of radius ‘r’. If the surface tension of the liquid is ‘T’ then gain in energy is: ( mathbf{A} cdot 48 pi R^{2} T ) В. ( 12 pi r^{2} T ) ( mathbf{c} cdot 96 pi r^{2} T ) D. ( 192 pi r^{2} T ) | 11 |

391 | toppr Q Type your question densities ( d ) and ( 2 d ) each of height ( H / 2 ) as shown in the figure. The lower density liquid is open to the atmosphere having pressure ( boldsymbol{P}_{0} cdot boldsymbol{A} ) homogeneous solid cylinder of length ( boldsymbol{L}(boldsymbol{L}<boldsymbol{H} / 2), ) cross-sectional area ( boldsymbol{A} / mathbf{5} ) is immersed such that it floats with its axis vertical at the liquid-liquid interface with length ( L / 4 ) in the denser liquid. The cylinder is then removed and the original arrangement is restored. A tiny hole of area ( s(s<<A) ) is punched on the vertical side of the container at a height ( h(h<H / 2) . ) As a result of this, liquid starts flowing out of the hole with a range ( x ) on the horizontal surface. The horizontal distance traveled by the liquid, initially, is : ( mathbf{A} cdot sqrt{(3 H+4 h) h} ) B ( cdot sqrt{(3 h+4 H) h} ) ( mathbf{c} cdot sqrt{(3 H-4 h) h} ) D. ( sqrt{(3 H-3 h) h} ) | 11 |

392 | Water comes out more slowly from an upstairs tap than from a similar tap downstairs. | 11 |

393 | A rectangular tank is placed on a horizontal ground end is filled with water to a height ( H ) above the base. ( A ) small hole is made on one vertical side at a depth ( D ) below the level of water in the tank. The distance ( x ) from the bottom of the tank, at which the water jet from the tank will hit the ground is, ( mathbf{A} cdot 2[D(H-D)]]^{1 / 2} ) в. ( 2(g D)^{frac{1}{2}} ) C ( cdot 2[D(H+D)]]^{1 / 2} ) D ( frac{1}{2}(D H)^{frac{1}{2}} ) | 11 |

394 | The excess pressure inside a spherical soap bubble of radius ( 1 mathrm{cm} ) is balanced by a column of oil (specific gravity ( = ) 0.8)( , 2 m m ) high, the surface tension of the bubble is : A. ( 3.92 mathrm{N} / mathrm{m} ) в. 0.0392 N / ( m ) c. ( 0.392 mathrm{N} / mathrm{m} ) D. ( 0.00392 mathrm{N} / mathrm{m} ) | 11 |

395 | At a depth of ( 1000 mathrm{m} ) in the ocean,what is the gauge pressure when density of sea water is given ( 1.03 times 10^{3} mathrm{kgm}^{-3} ) ? Take ( boldsymbol{g}=mathbf{1 0 m s}^{-mathbf{2}} ) A. 675 atm B. 103 atm c. 203 atm D. 244 atm | 11 |

396 | A stream of a liquid of density ( rho ) flowing horizontally with speed v rushes out of a tube of radius r and hits a vertical wall nearly normally. Assuming that the liquid does not rebound from the wall, the force exerted on the wall by the impact of the liquid is given by. A . ( pi r rho v ) B . ( pi r rho v^{2} ) c. ( pi r^{2} rho v ) D・ ( pi r^{2} rho v^{2} ) | 11 |

397 | Hydraulic jacks works on which principle from below? A. the pressure in closed container is the same at all points B. the pressure in closed container is not same at all points c. the pressure in closed container is opposite at all points D. None | 11 |

398 | The atmospheric pressure at is 100,000 pascal. A . ( 10.34 mathrm{m} ) B. torcellian c. sea level D. none | 11 |

399 | Q Type your question sy piocuris equal area A are use dat the four opening to keep the water in equilibrium Now an additional force ( F ) is applied at each piston. The increase in the pressure at the centre of the container due to this addition is ( A cdot F ) ( bar{A} ) B. ( frac{2 F}{A} ) ( c cdot frac{4 F}{A} ) 2 | 11 |

400 | A boy swims a lake and initially dives ( 0.5 m ) beneath the surface. When he dives ( 1 m ) beneath the surface, how does the absolute pressure change? A. It doubles B. It quadruples c. It slightly increases D. It cut to a half | 11 |

401 | Lifting automobiles in service stations is based on the principle of | 11 |

402 | Two capillary tubes of diameters 3.0 ( mathrm{mm} ) and ( 6.0 mathrm{mm} ) are joined together to form a U-tube open at both ends. If the U-tube is filled with water, what is the difference in its levels in the two limbs of the tube? Surface tension of water at the temperature of the experiment is ( mathbf{7 . 3} times mathbf{1 0}^{-mathbf{2}} mathbf{N} / mathbf{m} . ) Take the angle of contact to be zero and density of water to be ( 10^{3} k g / m^{3}left(g=9.8 m / s^{2}right) ) ( A cdot 5 mathrm{mm} ) B. 10 ( mathrm{mm} ) c. ( 15 mathrm{mm} ) D. 20 mm | 11 |

403 | The surface of water in contact with glass wall is A . Plane B. concave c. convex D. Both b and c | 11 |

404 | Two soap bubbles of different radii ( boldsymbol{R}_{1} ) and ( R_{2}(<R) ) coalesee to form an interface of radius ( R, ) The correct value of R is A. ( R=R_{1}-R_{2} ) в. ( R=frac{R_{1}+R_{2}}{2} ) c. ( frac{1}{R}=frac{1}{R_{2}}-frac{1}{R_{1}} ) D. ( frac{1}{R}=frac{1}{R_{2}}+frac{1}{R_{1}} ) | 11 |

405 | Assertion Smaller drops of liquid resist deforming forces better than the larger drops. Reason Excess pressure inside a drop is directly proportional to surface area. | 11 |

406 | Assertion A liquid will flow faster and more smoothly from a sealed can when two holes are punched in the can than when one hole is punched. Reason The flow becomes streamlined with two holes rather than with one hole. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct | 11 |

407 | A spherical solid ball of volume ( V ) is made of a material of density ( rho_{1} ). It is falling through a liquid of density ( rho_{2}left(rho_{2}0) . ) The terminal speed of the ball is: A ( cdot sqrt{frac{V g rho_{1}}{k}} ) в. ( frac{V gleft(rho_{1}-rho_{2}right)}{k} ) c. ( sqrt{frac{V gleft(rho_{1}-rho_{2}right)}{k}} ) D. ( frac{V g rho_{1}}{k} ) | 11 |

408 | Action of paint-gun is based on: A. Bernoulli’s principle B. Boyle’s law C. Faraday’s law D. Archimedes’s principle | 11 |

409 | A tiny sphere of mass ( m ) and density ( rho ) is dropped in a tall jar of glycerine of density ( sigma . ) When the sphere acquires terminal velocity, the magnitude of the viscous force acting on it is A. ( frac{m g rho}{sigma} ) в. ( frac{m g sigma}{rho} ) c. ( m gleft(1+frac{rho}{sigma}right) ) D ( cdot m gleft(1-frac{sigma}{rho}right) ) | 11 |

410 | If the system is not in free fall, which of the following statements are true about hydrostatic pressure? This question has multiple correct options A. In a liquid, point at different depths can never be at the same pressure. B. In a liquid, points at different depths may be at the same pressure. C. In different liquids, points at different depths can be at the same pressure. D. In different liquids, points at the same depth can never be at same pressure. | 11 |

411 | Why do we not get crushed under the atmospheric pressure? A. Internal pressure equals atmospheric pressure B. Internal pressure is less than the atmospheric pressure C. Internal pressure is more than the atmospheric pressure D. None of the above | 11 |

412 | The flow rate of a water from a tap of diameter ( 1.25 mathrm{cm} ) is ( 0.48 mathrm{L} / ) min. If the coefficient of viscosity of water is ( 10^{-3} P a s, ) what is the nature of flow of water? | 11 |

413 | A thin horizontal disc of radius ( mathrm{R}=10 mathrm{cm} mathrm{R}=10 mathrm{cm} ) is located within a cylindrical cavity filled with oil whose viscosity is ( eta=0.08 P(text { fig }) . ) The clearance between the disc and the horizontal planes of the cavity is equal to ( h=1 ) mm. Find the power developed by the angular velocity ( omega=60 ) rad/s. The end effects are to be neglected. ( mathbf{A} cdot 8 W ) В. ( 9 W ) ( c cdot 10 W ) ( mathbf{D} cdot 19 W ) | 11 |

414 | toppr Q Type your question with decrease in the depth? ( A ) ( B ) ( c ) ( D ) | 11 |

415 | A horizontal pipe line carries water in a streamline flow. At a point along the tube where the cross-sectional area is ( 10^{-2} m^{2}, ) the water velocity is ( 2 m s^{-1} ) and the pressure is 8000 Pa. The pressure of water at another point where the cross-sectional area is ( 0.5 times ) ( 10^{-2} m^{2} ) is? | 11 |

416 | In the power assisted kind of brake the bellows applies force to master cylinder piston A. Through diaphragm linkage B. Directly c. Through mechanical linkage D. Through kinetic linkage | 11 |

417 | A certain number of spherical drops of a liquid of radius ‘r’ coalesce to form a single drop of radius ‘R’ and volume ‘V’. If ‘T’ is the surface tension of the liquid then: A . Energy ( =4 V Tleft(frac{1}{r}-frac{1}{R}right) ) is released B . Energy ( =3 V Tleft(frac{1}{r}+frac{1}{R}right) ) is released C. Energy ( =3 V Tleft(frac{1}{r}-frac{1}{R}right) ) is released D. Energy is neither released nor absorbed | 11 |

418 | Assertion Pascal’s law is the working principle of a hydraulic lift Reason Pressure is thrust per unit area A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct | 11 |

419 | Air pressure is usually highest when the air is | 11 |

420 | The profile of advancing liquid is the same at a given point at all times, then the flow is: A. turbulent B. rapid c. viscous D. streamlined | 11 |

421 | If area of cross section of one end of tube is ( 8 mathrm{cm} ) and velocity of liquid flow is ( 1.5 m s^{-1} . ) What is the speed of ejection of the liquid if the life area of cross reaction of the other end is ( 4.0 mathrm{cm} ) | 11 |

422 | The force that water exert on the base of a house tank of base area ( 1.5 mathrm{m}^{2} ) when it is filled with water up to a height of ( 1 mathrm{m} ) if ( left(g=10 mathrm{m} / mathrm{s}^{2}right) ) A. 1200 kgwt B. 1500 kgwt c. 1700 kgwt D. 2000 kgwt | 11 |

423 | If water be used to construct a barometer, what would be the height of water column at standard atmospheric pressure (76 cm of mercury)? | 11 |

424 | Poise is the unit of : A. pressure B. friction c. surface tension D. viscosity | 11 |

425 | Water is flowing continuously from a ( operatorname{tap} ) of area ( 10^{-4} m^{2} . ) The water velocity as it leaves the top is ( 1 boldsymbol{m} / boldsymbol{s} ) Find out area of the water stream at a distance ( 0.15 m ) below the top. A ( .0 .5 times 10^{-4} m^{2} ) B . ( 1 times 10^{-4} m^{2} ) c. ( 2 times 10^{-4} m^{2} ) D. ( 0.25 times 10^{-4} m^{2} ) | 11 |

426 | A stream line body with relative density ( d_{1} ) falls into air from a height ( h_{1} ) on the surface of a liquid of relative density ( boldsymbol{d}_{2} ) where ( d_{2} ) is greater than ( d_{1} ). The time of immersion of the body into the liquid will be ( A ) [ sqrt{left(frac{2 h_{1}}{g}right)} times frac{d_{1}}{d_{2}-d_{1}} ] в. [ sqrt{left(frac{2 h_{1}}{g}right)} ] ( c ) [ sqrt{left(frac{2 h_{1}}{g}right)} times frac{d_{1}}{d_{2}} ] D. [ sqrt{left(frac{2 h_{1}}{g}right)} times frac{d_{2}}{d_{1}} ] | 11 |

427 | The numerical value of the atmospheric pressure on the surface of earth in pascal is A ( cdot 1.013 times 10^{5} ) pascal B. 10 bar c. 1.10325 bar D. None | 11 |

428 | A cylinder of radius ( boldsymbol{R} ) full of liquid of density ( rho ) is rotated about its axis at wrad/s. The increase in pressure at the centre of the cylinder will be A ( cdot frac{rho omega^{2} R^{2}}{2} ) в. ( frac{rho omega^{2} R}{2} ) c. ( frac{rho^{2} omega R}{2} ) D. ( frac{rho^{2} omega^{2} R^{2}}{2} ) | 11 |

429 | Four identical capillary tubes ( a, b, c ) and ( d ) are dipped in four beakers containing water with tube ‘a’ vertically, tube ‘b’ at ( 30^{circ}, ) tube ( ^{circ} c^{prime} ) at ( 45^{circ} ) and tube ‘ ( d^{prime} ) at ( 60^{circ} ) inclination with the vertical. Arrange the lengths of water column in the tubes in descending order A ( . d, c, b, a ) в. ( d, a, b, c ) c. ( a, c, d, b ) D. ( a, b, c, d ) | 11 |

430 | The terminal velocity of a sphere moving through a viscous medium is A. directly proportional to the radius of the sphere B. inversely proportional to the radius of the sphere C. directly proportional to the square of the radius of sphere D. inversely proportional to the square of the radius of sphere | 11 |

431 | Find the pressure in the circular water pipe shown in the figure | 11 |

432 | Give the absolute and gauge pressure of the gas in the enclosure for cases (a) and (b)in units of cm of mercury | 11 |

433 | The piston is taken completely out of the cylinder. The hole at the top is sealed. A water tank is brought below the cylinder and put in a position, so that the water surface in the tank is at the same level as the top of the cylinder as shown in the figure. The density of the water is ( rho ) n equilibrium, then height ( H ) of the water column in the cylinder satisfies A ( cdot rho gleft(L_{0}-Hright)^{2}+P_{0}left(L_{0}-Hright)+L_{0} P_{0}=0 ) B . ( rho gleft(L_{0}-Hright)^{2}-P_{0}left(L_{0}-Hright)-L_{0} P_{0}=0 ) C ( cdot rho gleft(L_{0}+Hright)^{2}+P_{0}left(L_{0}-Hright)-L_{0} P_{0}=0 ) D ( cdot rho gleft(L_{0}-Hright)^{2}-P_{0}left(L_{0}-Hright)+L_{0} P_{0}=0 ) | 11 |

434 | A large tank is filled with two liquids of specific gravities ( 2 sigma ) and ( sigma . ) Two holes are made on the wall of the tank as shown. Find the ratio of the distances from ( O ) of the points on the ground where the jets from holes ( A & B ) strike. | 11 |

435 | When the left arm of a mercury manometer is connected to a cylinder filled with a gas, the level of the mercury in the right arm rises by ( 2 mathrm{cm} ). If the pressure of the gas in the container ( 110160 mathrm{Pa}, ) the atmospheric pressure is cm of Hg. ( take ( g= ) ( left.10 m s^{-2}right) ) A . 79 B. 85 5 c. 76 D. 81 | 11 |

436 | Assertion In the three cases shown in the figure, force exerted by liquid on three vessels is the same. Reason Pressure at the bottom in each case is same. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

437 | Two different liquids are flowing in two tubes of equal radius. The ratio of coefficient of viscosity of liquids is 52: 49 and the ratio of their densities is ( 15.6: 1, ) then the ratio of their critical velocities will be: A . 0.068 B. 0.68 ( c cdot 6.8 ) ( D cdot 68 ) | 11 |

438 | If the surface tension of a liquid increases proportional to the ( n ) th power of its density then what is the value of ( n ) A . 1 B . 2 ( c .3 ) ( D ) | 11 |

439 | An ice block having two similar metallic pieces is floating in water in a vessel as shown in figure. After sometime the ice melts completely then A. the water level rises in the vessel B. the water level falls in the vessel c. the water level does not change in vessel D. the water level may rise or fall depending upon the ratio of masses of ice and metallic pieces | 11 |

440 | A tank with a small orifice contains oil on top of water. It is immersed in a large tank of the same oil. Water flows through the hole. Assuming the level of oil outside the tank above orifice does not change. a. What is the velocity of this flow initially? b. When the flow stops, what would be the position of the oil-water interface in the tank? Determine the time at which the flow stops? Density of oil ( =mathbf{8 0 0} k g / m^{3} ) | 11 |

441 | If air is blown through the space between a calendar suspended from a nail on wall and the wall, then: A. The calendar moves close to the wall. B. The calendar moves farther from the wall. c. The position of the calendar does not change. D. The position of the calendar may or maynot change | 11 |

442 | The volume of an air bubble increases by ( x % ) as it rises from the bottom of a lake to its surface. If the height of the water barometer is ( mathrm{H} ), the depth of the lake is ( ^{mathrm{A}} cdotleft(frac{H+x}{100}right)^{2} ) В. ( frac{H x}{(100+x)} ) c. ( frac{H x}{100} ) D. ( frac{100 H}{x} ) | 11 |

443 | The commonly used barometric liquid in a barometer is | 11 |

444 | State true or false. Animals like camels walk easily in the desert as broad feet exert great pressure on the sandy ground. | 11 |

445 | How much work does the atmospheric pressure do in compressing the spring? | 11 |

446 | 8 drops of equal radius coleasec to form a bigger drop. The ratio of surface energy of bigger drop to smaller one is? A . 1: 2 B . 2: 1 c. 1: 4 D. 4: 1 | 11 |

447 | A fluid is said to be ideal, if it is A. incompressible B. inviscous c. viscous and incompressible D. inviscous and incompressible | 11 |

448 | A U-tube of uniform cross-sectional area and open to the atmosphere is partially filled with mercury.Water is then poured into both arms. If the equilibrium configuration of the tube is as shown in figure with ( h_{2}=1.0 mathrm{cm} ) determine the value of ( h_{1} ) | 11 |

449 | Name the device used for measuring the pressure exerted by liquids. Also, state its working principle. | 11 |

450 | The pressure energy per unit mass of liquid of density ( rho ) at a pressure P is A ( cdot frac{P}{rho} ) в. ( rho times P ) ( c cdot frac{rho}{P} ) D. ( sqrt{frac{P}{rho} frac{P}{rho} frac{P}{rho}} ) | 11 |

451 | Two liquids of densities ( d_{1} ) and ( d_{2} ) are flowing in identical capillaries under same pressure difference. If ( t_{1} ) and ( t_{2} ) are the time taken for the flow of equal quantities of liquids, then the ratio of coefficients of viscosities of liquids must be ( mathbf{A} cdot frac{d_{1} d_{2}}{t_{1} t_{2}} ) B. ( frac{d_{1} t_{1}}{d_{2} t_{2}} ) ( mathbf{c} cdot frac{d_{1} t_{2}}{d_{2} t_{1}} ) D ( sqrt{left(frac{d_{1} t_{1}}{d_{2} t_{2}}right)} ) | 11 |

452 | Q Type your question at the bottom.lnitially the holes are closed and water is filled into the container. Now the container is rotated about its axis with an angular velocity ( omega=sqrt{12} r a d / s e c . ) As seen from the rotating frame of the container. The initial velocity of efflux after opening the holes will be: ( left(boldsymbol{g}=mathbf{1 0 m} / boldsymbol{s}^{2}, boldsymbol{h}=right. ) ( 5 m) ) A ( cdot 10 frac{m}{s} ) В ( cdot 10 sqrt{2} frac{m}{s} ) ( mathrm{c} cdot_{20} frac{m}{s} ) D. ( 20 sqrt{2} frac{m}{s} ) | 11 |

453 | The pressure at the bottom of a tank of water is ( 3 P ) where ( P ) is the atmospheric pressure. If the water is drawn out till the level of water is lowered by one fifth, the pressure at the bottom of the tank will now be: A ( .2 P ) B. ( (13 / 5) P ) c. ( (8 / 5) P ) D. ( (4 / 5) P ) | 11 |

454 | In a surface tension experiment with a capillary tube water rises up to 0.1 m. If the same experiment is repeated on an artificial satellite which is revolving around the earth. The rise of water in a capillary tube will be A. ( 0.1 m ) в. ( 9.8 m ) ( mathrm{c} cdot 0.98 mathrm{m} ) D. Full length of capillary tube | 11 |

455 | The area of cross-section of a large tank is ( 0.5 m^{2} ) It has an opeoing near the bottom having area ofcross-section ( 1 c m^{2}, A ) load of ( 20 mathrm{kg} ) is applied on the water at the top. Find the velocity of the water coming out of the opening at the time when the height of water level is ( 50 mathrm{cm} ) above the bottom. (Takeg= ( left.10 m / s^{2}right) ) | 11 |

456 | Why do our ears pop when we go to mountains? | 11 |

457 | A capillary tube of radius ( r ) is immersed in water and water rises in it to a height h. Mass of water in the capillary tube is m. If the radius of the tube is doubled, mass of water that will rise in the capillary tube will now be A . B. ( 2 m ) ( c cdot frac{m}{2} ) D. ( 4 m ) | 11 |

458 | Why do the tyres of a bicycle feel hard when air is filled in the tubes inside them. | 11 |

459 | Q Type your question surface as shown in the figure. The bottom of the container is square shaped of side ( sqrt{3} m ) and its top is open There is a very small hole in the vertical wall of the container near the bottom. A small cap closes the hole. The hole gets opened when pressure near the bottom becomes more than ( 4 times 10^{4} ) pascal. (a) What minimum acceleration can be given to the container in the positive ( x- ) direction so that the cap will came out of the hole? Assume water dose not spill out of container when the container accelerates. (b) Find the velocity of efflux as soon as the container starts moving with the acceleration calculate in part (a) of the question. | 11 |

460 | Two rain drops reach the earth with different terminal velocities having ratio ( 9: 4 . ) Then the ratio of their volume is: A .3: 2 B . 4: 9 c. 9: 4 D. 27: 8 | 11 |

461 | If the velocity of water near the surface of a ( 6 mathrm{m} ) deep river is ( 6 mathrm{m} / mathrm{s} ), assuming uniform velocity gradient along the depth, find the shear stress between the horizontal layers of water (coefficient of viscosity of water ( =10^{-2} ) poise | 11 |

462 | Force exerted by a truck is ( 500000 N ) and the pressure on the ground is ( 2500000 P a . ) Calculate the area of contact of tyres with ground? | 11 |

463 | A solid sphere falls with a terminal velocity v in air. If it is allowed to fall in vacuum, A. terminal velocity of sphere = v B. terminal velocity of sphere ( v ) D. sphere never attains terminal velocity | 11 |

464 | Assertion An object falling from a great height may reach a steady terminal velocity. Reason The viscous force on the body is responsible for this steady terminal velocity. A. Statement I is True and Statement II is True and is a correct explanation of statement B. Statement lis True and Statement II is True but not a correct explanation of Statement! c. statement lis True and Statement II is False D. Statement lis False and Statement II is True | 11 |

465 | A nail has ( 2 c m^{2} ) at one end and ( frac{1}{100} c m^{2} ) at the other end. A force of 1000 gwt is applied on the first end. Calculate the pressure acting on the wall? A ( cdot 78 times 10^{6} ) dunecm( ^{-2} ) B. ( 88 times 10^{6} ) dynecm( ^{-2} ) c. ( 98 times 10^{6} ) dynecm ( ^{-2} ) D. ( 95 times 10^{6} ) dynecm ( ^{-2} ) | 11 |

466 | The velocity of the wind over the surface of the wing of an aeroplane is ( 80 mathrm{ms}^{-1} ) and under the wing ( 60 mathrm{ms}^{-1} ). If the area of the wing is ( 4 mathrm{m}^{2} ), the dynamic lift experienced by the wing is [ density of ( left.operatorname{air}=1.3 mathrm{kg} . mathrm{m}^{-3}right] ) A. 3640 N в. 7280 N c. ( 14560 mathrm{N} ) D. 72800 N | 11 |

467 | A large cylindrical tank has a hole of area ( A ) at its bottom and water is poured into the tank through a tube of cross-sectional area ( boldsymbol{A} ) ejecting water at the speed ( v ). Which of the following is true? A. Water level in tank keeps on rising. B. No water can be stored in the tank c. water level will rise to a height ( frac{v^{2}}{2 g} ) and then stop. D. The water level will be oscillating. | 11 |

468 | Name the kind of meniscus formed in case of water. A. Concave B. convex c. Both ( A & B ) D. None | 11 |

469 | The velocity of a kerosene oil in a horizontal pipe is ( 5 m / s . ) If ( g=10 m / s^{2} ) then the velocity head of oil will be ( mathbf{A} cdot 1.25 m ) B. ( 12.5 m ) c. ( 0.125 m ) D. ( 125 m ) | 11 |

470 | A solid sphere falls with a terminal velocity of ( 10 mathrm{m} / mathrm{s} ) in air. If it is allowed to fall in vacuum: A. terminal velocity will be more than ( 10 mathrm{m} / mathrm{s} ) c. terminal velocity will be ( 10 mathrm{m} / mathrm{s} ) D. there will be no terminal velocity | 11 |

471 | For the system shown in figure, the cylinder on the left, at ( L, ) has a mass of ( 600 mathrm{kg} ) and a cross-sectional area of ( 800 c m^{2} . ) The piston on the right, at ( S ) has cross-sectional area ( 25 mathrm{cm}^{2} ) and negligible weight. If the apparatus is filled with oil ( left(p=0.78 g / c m^{3}right) ) what is the force F required to hold the system in equilibrium? | 11 |

472 | The initial speed with which water strikes the ground in ( m s^{-1} ) is: A . 10 B. 5 ( c cdot 5 sqrt{2} ) D. ( 10 sqrt{2} ) | 11 |

473 | Coating used on raincoat are waterproof because A. water is absorbed by the coating B. cohesive force becomes greater C. water is not scattered away by the coating D. angle of contact decreases | 11 |

474 | A Cylindrical vessel of cross-sectional area ( 1000 mathrm{cm}^{2} ), is fitted with a frictionless piston of mass ( 10 mathrm{kg} ), and filled with water completely. A small hole of cross-sectional area ( 10 m m^{2} ) is opened at a point ( 50 mathrm{cm} ) deep from the lower surface of the piston. The velocity of effluent from the hole will be A. ( 10.5 mathrm{m} / mathrm{s} ) B. 3.4 m/s c. ( 0.8 mathrm{m} / mathrm{s} ) D. ( 0.2 mathrm{m} / mathrm{s} ) | 11 |

475 | A liquid of density ( rho_{1} ) is flowing through a tube of varying cross-section. A manometer containing a liquid of density ( rho_{2} ) is connected to the tube as shown. The area of cross section of the tube at points ( A ) and ( B ) are ( a_{1} ) and ( a_{2} ) respectively. The rate of flow of the liquid through the tube is A ( cdot a_{1} a_{2} sqrt{frac{2 rho_{2} g h}{rho_{1}left(a_{2}^{2}-a_{1}^{2}right)}} ) в. ( quad a_{1} a_{2} sqrt{frac{2 g h}{rho_{1}left(a_{2}^{2}-a_{1}^{2}right)}} ) c. ( frac{a_{1}}{a_{2}} sqrt{frac{2 rho_{2} g h}{rho_{1}left(a_{2}^{2}-a_{1}^{2}right)}} ) D. ( a_{1} a_{2} sqrt{frac{2 rho_{1} g h}{rho_{2}left(a_{2}^{2}-a_{1}^{2}right)}} ) | 11 |

476 | The pressure exerted by the weight of a cubical block of a side ( 3 mathrm{cm} ) on the surface is ( 5 P a . ) The force acting on the surface ( boldsymbol{p} times mathbf{1 0}^{-4} boldsymbol{N} ) then ( mathrm{p}= ) | 11 |

477 | The area of two holes ( A ) and ( B ) are ( 2 a ) and ( a ) respectively. The holes are at height ( frac{boldsymbol{H}}{mathbf{3}} ) and ( frac{boldsymbol{2} boldsymbol{H}}{mathbf{3}} ) from the surface of water. Find the correct option(s) This question has multiple correct options A. the velocity of efflux at hole ( B ) is 2 times the velocity of efflux at hole ( A ) B. the velocity of efflux at hole ( B ) is ( sqrt{2} ) time the velocity of efflux at hole C. the discharge is same through both the holes D. the discharge through hole A is ( sqrt{2} ) time the discharge through hole | 11 |

478 | A tank containing water has an orifice on one vertical wall. If the centre of the orifice is ( 4.9 mathrm{m} ) below the surface of water in the tank, the velocity of discharge is: A. ( 0.98 mathrm{m} / mathrm{s} ) в. ( 9.8 mathrm{m} / mathrm{s} ) ( c cdot 98 m / s ) D. ( 9.8 mathrm{cm} / mathrm{s} ) | 11 |

479 | Pressure exerted by ( 76 mathrm{cm} ) high column of mercury is equal to pressure. A. 1 atmospheric B. 2 atmospheric c. 3 atmospheric D. 4 atmospheric | 11 |

480 | The weight of the column of the mercury in the tube above the surface of the mercury in the cup is balanced by A. The weight of air column B. Friction Force c. viscous force D. Buoyant force | 11 |

481 | A capillary tube, made of glass is dipped into mercury. Then: A. mercury rises in the capillary tube. B. mercury descends in capillary tube. C. mercury rises and flows out of capillary tube. D. mercury neither rises nor descends in the capillary tube | 11 |

482 | In turbulent flow, the velocity of the liquid molecules in contact with the walls of the tube. A . is zero B. is maximum c. is equal to critical velocity D. may have any value | 11 |

483 | A girl weighing 50 kgf wears sandals of pencil heel of area of cross section 1 ( c m^{2}, ) stands on a floor. An elephant weighing 2000 kgf stands on foot each of area of cross section ( 25 mathrm{cm}^{2}, ) on the floor. Compare the pressure exerted by them. | 11 |

484 | Mention two cases in which it is useful to decrease the pressure exerted by a force and two cases in which it is useful to increase the pressure exerted by a force. | 11 |

485 | If the same force is applied to the surface area which reduced by half, the pressure A. remains the same B. becomes half c. becomes double D. becomes zero | 11 |

486 | A wooden piece ( 5 N ) in weight and ( 5 c m times 3 c m times 2 c m ) in size lies on ( 5 c m times 2 c m ) face. The pressure exerted by it in ( N ) per ( c m^{2} ) is: A. 150 B. 50 c. 0.5 D. 15 | 11 |

487 | A laeal barometer tube or neglıgıble mass is suspended from a spring balance as shown. The mass of mercury in the tube is ( m ) and atmospheric pressure is ( P_{0} . ) The cross section area of tube is ( A . ) The reading of spring balance is : This question has multiple correct options ( mathbf{A} cdot m g ) B ( . P_{0} A ) ( mathbf{c} cdot P_{0} A-m g ) D. ( frac{P_{0} A+m g}{2} ) | 11 |

488 | A barometric liquid having high density produces a shorter column of liquid. A. True B. False | 11 |

489 | State True or False. Hydraulic press is used in the extraction of oil from oil seeds. A. True B. False | 11 |

490 | With what terminal velocity will an air bubble of diameter 0.8 mm rise in a liquid of density ( 900 mathrm{kg} mathrm{m}^{-3} ) and viscosity ( 0.15 N s m^{-2} ? ) What will be the terminal velocity of the same bubble in water? Ignore density of air. | 11 |

491 | The height of mercury which exerts the same pressure as ( 20 mathrm{cm} ) of water column, is A ( .1 .47 mathrm{cm} ) B. ( 14.8 mathrm{cm} ) ( c cdot 148 mathrm{cm} ) D. none of these | 11 |

492 | A force of ( 15 N ) acts on an area of ( 50 c m^{2} ) What is the pressure in pascal. | 11 |

493 | With the increase in the area of contact of an object, the pressure: (Note : Thrust remains same) A. Increases B. Decreases c. Is not affected D. None of these | 11 |

494 | Water stored in a tank flows out through a hole of radius ( 1 mathrm{mm} ) at a depth ( 10 mathrm{m} ) below the surface of water.The rate of flow of water in ( m^{3} / s ) will be A ( .4 .4 times 10^{-5} ) B. ( 4.4 times 10^{-4} ) c. ( 4.4 times 10^{-3} ) D. ( 4.4 times 10^{-2} ) | 11 |

495 | The pressure exerted by a liquid of height ‘h’ is given by : ( ^{A} cdot frac{h}{rho g} ) в. ( h rho g ) ( c cdot frac{h}{rho} ) D. hg | 11 |

496 | Derive Laplace’s law for a spherical membrane. | 11 |

497 | Two identical mercury drops, each of radius r are charged to the same potential V.If the mercury drops coalesce to form a big drop, each of radius ( R ) then the potential of the combined drop will be ( mathbf{A} cdot(3)^{1 / 2} V ) B . ( (3)^{2 / 3} V ) c. ( (2)^{2 / 3} V ) D. ( (2)^{3 / 2} V ) | 11 |

498 | Air in a sealed syringe is slowly compressed by moving the piston. The temperature of the air stays the same. Which statement about the air is correct? A. The pressure of the air increases because its molecules now travel more slowly B. The pressure of the air increases because the area of the syringe walls is now smaller. C. The pressure of the air increases because its molecules now hit the syringe walls more frequently D. The pressure of the air increases because its molecules now travel more quickly | 11 |

499 | To stop a heavy vehicle moving with high velocity, a device working on Pascal’s law is used, That device is A. hydraulic lift B. hydraulic brake c. hydraulic jack D. none | 11 |

500 | At sea level, atmospheric pressure is: A. 76 cm of Hg column B. 760 cm of Hg column c. ( 0.76 mathrm{cm} ) of ( mathrm{Hg} ) column D. 76 cm of water column | 11 |

501 | A small ball is dropped in a viscous liquid. Its fall in the liquid is best described by the figure: A. Curve A B. Curve B c. Curve ( C ) D. Curve D | 11 |

502 | The pressure exerted by a women wearing shoes with pointed heels is than what an elephant with one foot can exert on ground: A. Much lesser B. Much greater c. Both equal D. None of these | 11 |

503 | If two soap bubbles of different radii are connected by a tube: A. air flows from bigger bubble to the smaller bubble till sizes become equal B. air flows from bigger bubble to the smaller bubble till sizes are interchanged C . air flows from smaller bubble to bigger D. there is no flow of air | 11 |

504 | By observing the diagram, answer the following. a) How does the pressure at A differ from the pressure at B.? b) The pressure at ( B ) is greater than the pressure at D. Is it true?. Justify your answer. c) Compare the pressure at ( A ) and ( C ). d) If the water is replaced with mercury, how would this affect the pressure at ( A ) and D? | 11 |

505 | Calculate the pressure inside a small air bubble of radius ( r ) situated at a depth ( h ) below the free surface of liquids of densities ( rho_{1} ) and ( rho_{2} ) and surface tension ( T_{1} ) and ( T_{2} . ) The thickness of the first and second liquids are ( h_{1} ) and ( h_{2} ) respectively. Take atmosphere pressure ( =boldsymbol{P}_{0} ) ( ^{mathrm{A}} cdot P_{0}+rho_{1} g h_{1}+rho_{2} gleft(h-h_{1}right)-frac{2 T_{2}}{r} ) в. ( P_{0}+rho_{1} g h_{1}+rho_{2} gleft(h-h_{1}right)+frac{2 T_{2}}{r} ) c. ( quad P_{0}-rho_{1} g h_{1}+rho_{2} gleft(h-h_{1}right)+frac{2 T_{2}}{r} ) D. None of these | 11 |

506 | The excess pressure across a soap bubble of radius ( r ) is ( p=frac{4 sigma}{r}, ) where ( sigma ) is the surface tension of soap solution. What is the excess pressure across an air bubble of the same radius ( r ) formed inside a container of soap solution? A ( cdot frac{sigma}{r} ) в. ( frac{2 sigma}{r} ) c. ( frac{4 sigma}{r} ) D. none of these | 11 |

507 | The top of a water tank is open to air and its water level is maintained. It is giving out ( 0.74 m^{3} ) water per minute through a circular opening of ( 2 mathrm{cm} ) radius in its wall. The depth of the centre of the opening from the level of water in the tank is close to : A. ( 9.6 m ) в. ( 4.8 mathrm{m} ) ( c .2 .9 m ) D. ( 6.0 m ) | 11 |

508 | A metal ball ( B_{1} ) (density ( 3.2 mathrm{g} mathrm{cm}^{-3} ) ) is dropped in water while another metal ball ( B_{2} ) (density ( 6.0 mathrm{g} mathrm{cm}^{-3} ) ) is dropped in a liquid of density ( 1.6 mathrm{g} mathrm{cm}^{-3} ). If both the balls have the same diameter and attain the same terminal velocity, the ratio of viscosity of water to that of the liquid is: A . 2. B. 0.5 ( c cdot 4.0 ) D. indeterminate due to insufficient data | 11 |

509 | A spherical soap bubble of radius ( 1 mathrm{cm} ) is formed inside another soap bubble of radius ( 3 c m . ) The radius of a single soap bubble which maintains the same pressure difference as inside the smaller and outside the larger soap bubble as A . ( 0.75 mathrm{cm} ) B. ( 0.75 m ) c. ( 7.5 mathrm{cm} ) D. ( 7.5 mathrm{m} ) | 11 |

510 | The pressure of gas in a metal cylinder is 4 atmospheres at ( 27 C, ) then the pressure at ( 54 C: ) (in atmosphere) A . 4.36 B. 8 ( c .3 ) D. ( 400 / 109 ) | 11 |

511 | The coefficient of viscosity of a liquid does not depend upon A. the density of liquid. B. temperature of liquid. c. pressure of liquid. D. nature of liquid. | 11 |

512 | What is the difference between the pressure on the bottom of a pool and the pressure on the water surface? A ( . g h ) B. ( frac{g}{h} ) c. 0 D. none | 11 |

513 | A cylindrical vessel open at the top is ( 20 c m ) high and ( 10 c m ) in diameter. ( A ) circular hole whose cross-sectional ( operatorname{area} 1 c m^{2} ) is cut at the centre of the bottom of the vessel. Water flows from a tube above it into the vessel at the rate ( 100 mathrm{cm}^{3} s^{-1} . ) The height of water in the vessel under steady state (in cm) is | 11 |

514 | What is the height of mercury which exerts the same pressure as ( 20 mathrm{cm} ) of water column? Take density of mercury as ( 13.6 g / c c ) | 11 |

515 | In a hydraulic lift, used at a service station the radius of the large and small piston are in the ratio of ( 20: 1 . ) What weight placed on the small piston will be sufficient to lift a car of mass ( 1500 k g ? ) A. ( 3.75 k g ) в. ( 37.5 k g ) c. ( 7.5 k g ) D. ( 75 k g ) | 11 |

516 | Pressure at a certain depth in river water is ( p_{1} ) and at the same depth in sea water is ( p_{2} ). Then (Density of sea water is greater than that of river water): A ( cdot p_{1}=p_{2} ) в. ( p_{1}>p_{2} ) c. ( p_{1}<p_{2} ) D. ( p_{1}-p_{2}= ) atmospheric pressure | 11 |

517 | A ball rises to the surface of a liquid with constant velocity. The density of the liquid is four time the density of the material of the ball. the frictional force of the liquid on the rising ball is greater than the weight of the ball by a factor of A .2 B. 3 ( c cdot 4 ) ( D ) | 11 |

518 | A glass of water upto a height ( 10 mathrm{cm} ) has bottom area ( 5 c m^{2} ) and top area ( 10 c m^{2} ) The downward force exerted by water on the bottom is? (Take ( g=10 m / s^{2}, rho_{w}= ) ( mathbf{1 0}^{3} mathbf{k g} / boldsymbol{m}^{3}, boldsymbol{P}_{boldsymbol{a}}=mathbf{1 . 0 1} times mathbf{1 0}^{mathbf{5}} mathbf{N m}^{-mathbf{2}} mathbf{)} ) A. ( 102 mathrm{N} ) в. 120N c. ( 22 mathrm{N} ) D. ( 51 mathrm{N} ) | 11 |

519 | Mark correct option(s). A. Two stream lines may cross each other B. Two stream lines must cross each other C. Two stream lines never cross each other D. None of above | 11 |

520 | Work done by air when it expands from ( mathbf{5 0} ) litres to 150 litres at a constant pressure of 2 atmosphere is A ( cdot 2 times 10^{4} ) joules B. 2 ( times 100 ) joules C ( .2 times 10^{5} times 100 ) joules D. ( 2 times 10^{6} times 100 ) joules | 11 |

521 | A wooden plank of length ( 1 mathrm{m} ) and uniform cross-section is hinged at one end to the bottom of a tank as shown. The tank is filled with water upto a height of ( 0.5 mathrm{m} . ) The specific gravity of the plank is ( 0.5 . ) The angle ( theta ) made by the plank in equilibrium position is A . ( 30^{circ} ) B . ( 45^{circ} ) ( c cdot 60^{circ} ) D. ( 90^{circ} ) | 11 |

522 | The area of cross-section of the wider tube shown in figure is ( 800 mathrm{cm}^{2} . ) If ( mathrm{a} ) mass of ( 12 mathrm{kg} ) is placed on the massless piston, the difference in heights h in the level of water in the two tubes is : ( A cdot 10 mathrm{cm} ) B. 6 cm ( c cdot 15 mathrm{cm} ) D. ( 2 mathrm{cm} ) | 11 |

523 | A soap bubble of radius ( r ) is blown up to form a bubble of radius 2r under isothermal conditions. If ( T ) is the surface tension of soap solution, the energy spent in the blowing ( mathbf{A} cdot 3 pi T r^{2} ) в. ( 6 pi T r^{2} ) ( mathrm{c} cdot 12 pi T r^{2} ) D. ( 24 pi T r^{2} ) | 11 |

524 | One end of a steel rod ( (k= ) ( left.45 J s^{-1} m^{-1} C^{-1}right) ) of length ( 1.0 mathrm{m} ) is kept in ice at ( 0^{0} C ) and the other end is kept in boiling water at ( 100^{0} C . ) The are aof ( operatorname{cross} ) section of the rod is ( 0.04 mathrm{cm}^{2} ) Assuming no heat loss to the atmosphere, find the mass of the ice melting per second. Latent heat of fusion of ice ( =mathbf{3 . 3 6} times mathbf{1 0}^{mathbf{5}} mathbf{J k g}^{-1} ) | 11 |

525 | the pressure exerted by atmosphere is ( ? ) A. large B. small c. zero D. none of the above | 11 |

526 | In Millikan oil drop experiment a charged drop falls with a terminal velocity V. If an electric field E is applied vertically upwards it moves with terminal velocity ( 2 V ) in upward direction. If electric field reduces to ( boldsymbol{E} / mathbf{2} ) then its terminal velocity will be- A ( cdot frac{V}{2} ) B. c. ( frac{3 V}{2} ) D. ( 2 V ) | 11 |

527 | A tank of height ( 5 m ) is full of water. There is a hole of cross sectional area ( 1 mathrm{cm}^{2} ) in its bottom. The initial volume of water that will come out from this hole per second is A ( cdot 10^{-3} m^{3} / s ) B . ( 10^{-4} mathrm{m}^{3} / mathrm{s} ) c. ( 10 m^{3} / s ) D. ( 10^{-2} mathrm{m}^{3} / mathrm{s} ) | 11 |

528 | Spherical balls of radius ( mathbf{R} ) are falling in a viscous fluid of viscosity ( eta ) with a velocity v. The retarding viscous force acting on the spherical ball is: A. directly proportional to R but inversely proportional to B. directly proportional to both radius R and velocity v C. inversely proportional to both radius R and velocity D. inversely proportional to R but directly proportional to velocity v | 11 |

529 | In a capillary tube, fall of liquid is possible when angle of contact is A. Acute angle B. Right angle c. obtuse angle D. None of these | 11 |

530 | A person weighs 60 kg. The area under the foot of the person is ( 180 mathrm{cm}^{2} ). Find the pressure exerted on the ground by the person. (Take ( boldsymbol{g}=mathbf{9 . 8 m s}^{-mathbf{2}} ) ). A . ( 32.6 times 10^{2} P a ) в. ( 32.6 times 10^{3} P a ) c. ( 32.6 times 10^{4} P a ) D. ( 32.6 times 10^{5} P a ) | 11 |

531 | Which one of the following will make its way most easily through the tiny space between the fiber of the clothing: A. glycerene at ( 10^{circ} mathrm{C} ) B. water at ( 20^{circ} mathrm{C} ) c. soap water at ( 20^{circ} mathrm{C} ) D. water at ( 100^{circ} mathrm{C} ) | 11 |

532 | They does the mercury column in the barometer fall rapidly before a severe storm? A. It is due to the fall in atmospheric pressure B. It is due to the rise in atmospheric pressure c. It is due to decrease in humidity in air D. It is due to the severe heat energy from the sun | 11 |

533 | The height of a barometer filled with a liquid of density ( 3.4 g / c c ) under normal condition is approximately – ( mathbf{A} cdot 8 m ) B. ( 5 m ) ( c .3 m ) D. ( 1 m ) | 11 |

534 | Somewater at ( 0^{0} C ) is placed in a large insulated vessel. The water vapour formed is pumped out continuously.The fraction of water that will ultimately freeze is ( frac{7}{8} . ) If the latent heat of vaporization is ( x ) times the latent heat of fusion. Find out value of ( x ) A. 5 B. 6 ( c cdot 7 ) D. | 11 |

535 | In a stream line (laminar flow) the velocity of flow at any point in the liquid: A. does not vary with time B. may vary in direction but not in magnitude C. may vary in magnitude but not in direction D. may vary both in magnitude and direction | 11 |

536 | initial speed with which water strikes the ground. | 11 |

537 | An air bubble of radius ( 0.1 mathrm{cm} ) is in a liquid having surface tension ( 0.06 N / m ) and density ( 10^{3} k g / m^{3} . ) The pressure inside the bubble is ( 1100 N / m^{2} ) greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid? ( left(boldsymbol{g}=mathbf{9 . 8} boldsymbol{m} / boldsymbol{s}^{2}right) ) A ( .0 .20 m ) B. ( 0.15 mathrm{m} ) c. ( 0.1 m ) D. ( 0.25 mathrm{m} ) | 11 |

538 | The area of cross-section of the wider tube show in figure is ( 800 mathrm{cm}^{2} . ) If a mass of ( 12 k g ) is placed on the massless piston, the difference in heights ( h ) in the level of water in the two tubes is: ( mathbf{A} cdot 10 mathrm{cm} ) B. ( 6 mathrm{cm} ) ( c cdot 15 c m ) ( mathbf{D} cdot 2 c m ) | 11 |

539 | Calculate the pressure exerted by water at the bottom of a lake of depth ( 6 m ) (Density of water ( =1000 k g m^{-3}, g= ) ( left.10 m s^{-2}right) ) | 11 |

540 | A frame made of metallic wire enclosing a surface area ( A ) is covered with a soap film. If the area of the frame of metallic wire is reduced by ( 50 % ), the energy of the soap film will be changed by A. ( 100 % ) B. ( 75 % ) ( c .50 % ) D. ( 25 % ) | 11 |

541 | During the melting of a slab of ice at ( 273 K ) at atmospheric pressure: This question has multiple correct options A. Positive work is done by the ice-water on the atmosphere B. Positive work is done on the ice-water by the atmosphere C. The internal energy of the ice-water increases D. The internal energy of the ice-water system decreases | 11 |

542 | A liquid will NOT wet the surface of a solid if its angle of contact is A. Zero B. Less than 90 c. More than 90 D. ( 90^{circ} ) | 11 |

543 | The unit torr is related to the barometric height as A. 1 torr ( =1 mathrm{cm} ) of ( mathrm{Hg} ) B. 1 torr( =0.76 mathrm{m} ) of ( mathrm{Hg} ) c. 1 torr( =1 mathrm{mm} ) of ( mathrm{Hg} ) D. 1 torr ( =1 mathrm{m} ) of ( mathrm{Hg} ) | 11 |

544 | The terminal velocity ( V ) of a spherical ball of lead of radius ( R ) falling through a viscous liquid varies with ( boldsymbol{R} ) such that: A ( cdot frac{V}{R}= ) constant B. ( V R= ) constant c. ( V= ) constant D. ( frac{V}{R^{2}}= ) constant | 11 |

545 | The four tyres of an automobile are inflated to a pressure of ( 2.0 times 10^{5} mathrm{Pa} ) Each Tyre has an area of ( 0.024 m^{2} ) in contact with the ground. Determine the weight of the automobile. A ( cdot 1.92 times 10^{4} mathrm{N} ) B . ( 1.92 times 10^{5} mathrm{N} ) c. ( 1.92 times 10^{6} mathrm{N} ) D. ( 2.92 times 10^{4} mathrm{N} ) | 11 |

546 | If the terminal speed of a sphere of gold (density ( left.=19.5 k g / m^{3}right) ) is ( 0.2 m / s ) in a viscous liquid(density ( left.=1.5 k g / m^{3}right) ) find the terminal speed of a sphere of silver (density ( =10.5 k g / m^{3} ) ) of the same size in the same liquid A. ( 0.4 m / s ) В. ( 0.133 m / s ) c. ( 0.1 m / s ) D. ( 0.2 m / s ) | 11 |

547 | The terminal velocity of a steel ball 2 ( mathrm{mm} ) in diameter falling through glycerin is ( 44 times 10^{-2} mathrm{cm} / mathrm{s} ) (Given that specific gravity of steel ( =8, ) specific gravity of steel =8, specific gravity of glycerin a 1.3, viscosity of glycerine 8.3 poise.) | 11 |

548 | Why most of the mountain climbers carry oxygen cylinder with them A. Because as height increases,air pressure increases B. Because as height increases,air pressure decreases c. At high altitudes,breathing capacity increases D. None | 11 |

549 | If you dip your open palm in a bucket full of water, you feel your hand being pushed up? Why? | 11 |

550 | The barometric pressure and height on the earth are ( 10^{5} ) Pa and ( 760 mathrm{mm} ). If it is taken to moon, then barometric height will be :- A. 76 mm B. ( 126.6 mathrm{mm} ) c. zero D. 760 ( mathrm{mm} ) | 11 |

551 | ( 1 m^{3} ) water is brought inside the lake upto ( 200 m ) depth from the surface of the lake. What will be change in the volume when the bulk modulus of elasticity of water is 22000 at ( m ? ) (density of water is ( 1 times 10^{3} k g / m^{3} ) atmosphere pressure ( =10^{5} N / m^{2} ) and ( boldsymbol{g}=mathbf{1 0 m} / boldsymbol{s}^{2} ) В. ( 7.8 times 10^{-3} m^{3} ) ( mathbf{c} cdot 9.1 times 10^{-4} m^{3} ) D. ( 8.7 times 10^{-4} m^{3} ) | 11 |

552 | A nail is driven into a wooden board by using a hammer. The impact of the hammer on the head of nail produces a thrust of ( 25 N . ) If the area of the head is ( 0.5 m m^{2} ) and of the tip is ( 0.1 m m^{2}, ) find the pressures on the head and on the tip of the nail. A ( cdot 5 times 10^{7} P a ; 2.5 times 10^{8} P a ) B . ( 2.5 times 10^{7} P a ; 5.5 times 10^{8} P a ) c. ( 3.5 times 10^{7} P a ; 2.5 times 10^{8} P a ) D. ( 5 times 10^{7} P a ; 3.5 times 10^{8} P a ) | 11 |

553 | A diver reaches a depth of 300 m. The pressure (in atm) exerted by water at that depth is ( 2.94 times 10^{x} . ) (in Pascal). Take ( g=9.8 m / s^{2} . ) Find ( x ) | 11 |

554 | Why does the school bags have broad shoulder straps? A. To increase pressure B. To decrease pressure c. As a fashion trend D. None of the above | 11 |

555 | A boy weighing ( 500 mathrm{N} ) is standing on the ground wearing a pair of flat shoes. The area of contact of one shoe with the ground is ( 100 mathrm{cm}^{2} ). What will be the pressure exerted by the boy on the ground if he stands on both feet? A ( cdot 25000 N / m^{2} ) в. ( 50000 N / m^{2} ) c. ( 2500 N / m^{2} ) D. ( 5000 N / m^{2} ) | 11 |

556 | A steel ball of diameter ( boldsymbol{d}=mathbf{3 . 0} boldsymbol{m m} ) starts sinking with zero initial velocity in olive oil whose viscosity is ( eta= ) ( 0.90 P . ) How soon after the beginning of motion will the velocity of the ball differ from the steady-state velocity by ( boldsymbol{eta}=mathbf{1 . 0 %} ? ) | 11 |

557 | A drop of water of radius ( 0.0015 mathrm{mm} ) is falling in air. If the coefficient of viscosity of air is ( 1.8 times 10^{-5} k g / m s ) what will be the terminal velocity of the drop? (density of water ( =1.0 times ) ( 10^{3} k g / m^{2} ) and ( g=9.8 mathrm{N} / mathrm{kg} ) ). The density of air can be neglected A ( .2 .72 times 10^{-4} mathrm{m} / mathrm{s} ) B . ( 3.72 times 10^{-4} mathrm{m} / mathrm{s} ) c. ( 0.72 times 10^{-4} mathrm{m} / mathrm{s} ) D. ( 12.72 times 10^{-4} mathrm{m} / mathrm{s} ) | 11 |

558 | A tank is filled with water and two holes ( A ) and ( B ) are made in it. For getting same ( boldsymbol{h} ) ranges, ratio of ( frac{pi}{h^{prime}} ) is ( A ) B. 1 ( overline{2} ) ( c cdot 1 ) 3 ( D ) | 11 |

559 | In a hydraulic lift, the small piston has an area of ( 2 mathrm{cm}^{2} ) and the large piston has an area of ( 80 mathrm{cm}^{2} ). What is the mechanical advantage of the hydraulic lift? A . 40 B. 42 c. 10 ( D .4 ) | 11 |

560 | A metal sphere weighing ( 60 g m ) in the air is suspended by a thread in oil of specific gravity ( 0.6 . ) If the tension in the thread is ( 55 g ) mwt, the specific gravity of the metal sphere is A . 9.4 в. 4.5 ( c .6 .3 ) D. 7.2 | 11 |

561 | If ‘n’ identical water drops assumed spherical each charged to a potential energy U coalesce to a single drop, the potential energy of the single drop is: (Assume that drops are uniformly charged). A ( cdot n^{2 / 3} U ) B . ( n^{3 / 2} U ) c. ( n^{4 / 3} U ) ( mathbf{D} cdot n^{5 / 3} U ) | 11 |

562 | Sometimes you see a fountain of water rucshing out of the leaking joints (or holes) in the pipes of main water supply line in the city. Why does it happen? | 11 |

563 | When a sphere of radius ( r_{1}=1.2 mathrm{mm} ) moves in glycerin, the laminar flow is observed if the velocity of the sphere does not exceed ( v_{1}=23 mathrm{cm} / mathrm{s} . ) At what minimum velocity ( v_{2}(text { in } mu mathrm{m} / mathrm{s}) ) of ( mathrm{a} ) sphere of radius ( r_{2}=5.5 mathrm{cm} ) will the flow in water become turbulent? The viscosities of glycerin and water are equal to ( eta_{1}=13.9 P ) and ( eta_{2}=0.011 P ) respectively. | 11 |

564 | What will be the approximate terminal velocity of a rain drop of diameter ( 1.8 times ) ( 10^{-3} mathrm{m}, ) when density of rain water ( approx ) ( .10^{3} k g m^{-3} ) and the co=efficient of viscosity of air ( approx .1 .8 times 10^{-5} N s m^{-2} ? ) (Neglect buoyancy of air). A ( cdot 49 m s^{-1} ) B. ( 98 m s^{-1} ) c. ( 392 m s^{-1} ) D. ( 980 mathrm{ms}^{-1} ) | 11 |

565 | STATEMENT-1: At two different points on the same stream line in streamline flow velocity of a particle may be different. STATEMENT-2: Pressure and height may be different at two different points on a streamline. A. Statement-1 is True, Statement-2 is True; Statementis a correct explanation for Statement- B. Statement-1 is True, Statement-2 is True; Statementis NOT a correct explanation for Statement- c. Statement- 1 is True, Statement- 2 is False D. Statement-1 is False, Statement-2 is True | 11 |

566 | A sphere of brass released in a long liquid column attains a terminal speed ( boldsymbol{v}_{0} . ) If the terminal speed attained by sphere of marble of the same radius and released in the same liquid in ( n v_{0} ) then the value of ( n ) will be (Given : The specific gravities of brass, marbles and the liquid are 8.5,2.5 and 0.8 respectively ( ) ) A ( cdot frac{5}{17} ) в. ( sqrt{frac{17}{77}} ) c. ( frac{11}{31} ) D. ( frac{17}{5} ) | 11 |

567 | What is the pressure on a swimmer 10 m below the surface of a lake? | 11 |

568 | The horizontal flow of fluid depends upon A. Pressure difference B. Amount of fluid c. Density of fluid D. All the above | 11 |

569 | When a fluid is in streamline flow, the reason of viscous force acting between its two layers is: A. transport of energy from one layer to another B. transport of linear momentum from one layer to another c. same velocity of molecules D. the variable density along the length of the tube | 11 |

570 | If a ( 5 mathrm{cm} ) long capillary tube with ( 0.1 mathrm{mm} ) internal diameter, open at both ends, is slightly dipped in water having surface tension 75 dyne ( / mathrm{cm}, ) state whether: water will overflow out of the upper end of capillary. Explain your answer | 11 |

571 | The excess pressure inside a sperical drop of water is four times that of another drop. Then their respective mass ratio is : A .1: 6 B. 8: 1 ( c cdot 1: 4 ) D. 1: 64 | 11 |

572 | ( E ) | 11 |

573 | Find the ratio between the depths where the pressures are ( 3 times 10^{5} N m^{-2} ) and ( mathbf{5} times mathbf{1 0}^{mathbf{5}} mathbf{N} boldsymbol{m}^{-mathbf{2}} cdotleft(boldsymbol{P}_{boldsymbol{A}}=mathbf{1 0}^{mathbf{5}} boldsymbol{N} boldsymbol{m}^{-mathbf{2}}right) ) | 11 |

574 | Mark the correct option A. When a force is applied on a soft object,it changes the size and shape of the object. B. A force can increase the speed of a moving object C. If applied force acts on a body in the direction of motion,the speed of the body will increase D. All | 11 |

575 | Two general types of vacuum assisted power brakes are A. Vacuum suspended and power suspended B. Integral and pressure suspended C. Atmospheric and vacuum suspended D. Power and pressure suspended | 11 |

576 | A large number of liquid drops, each of radius ( r, ) coalesce to form a single drop of radius R. The energy released in the process is converted into the kinetic energy of the big drop so formed. The speed of the big drop is : ( (T= ) surface tension, ( rho=text { density of liquid }) ) ( ^{mathbf{c}} cdot sqrt{frac{4 T}{rho}left(frac{1}{r}-frac{1}{R}right)} ) ( sqrt[n]{frac{6 T}{rho}left(frac{1}{r}-frac{1}{R}right)} ) | 11 |

577 | A block of sided ( 0.5 m ) is ( 30 % ) submerged in a liquid of density 1 gm / cc. Then find mass of an object placed on block for complete submergence. A . ( 87.3 k g ) B. ( 85.3 k g ) c. ( 82.3 k g ) D. ( 80.3 k g ) | 11 |

578 | A rock is thrown vertically upward with initial speed ( v_{0} . ) Assume a friction force proportional to ( -v, ) where ( v ) is the velocity of the rock and neglect the buoyant force exerted by air. Which of the following is correct? A. The acceleration of the rock is always equal to ( g ) B. The acceleration of the rock is always equal to ( g ) only at the top of the flight C. The acceleration of the rock is always less than ( g ) D. The speed of the rock upon return to its starting point is ( v_{0} ) E. The rock can attain a terminal speed greater than ( v_{0} ) before it returns to its starting point | 11 |

579 | When an air bubble of radius ( r ) rises from the bottom to the surface of a lake, the radius becomes ( frac{5 r}{4} . ) Taking the atmospheric pressure to be equal to 10 ( m ) height of water column, the depth of the lake would approximately be (ignore the surface tension and the effect of temperature): A . ( 11.2 m ) B. ( 8.7 m ) ( mathbf{c} .9 .5 m ) D. ( 10.5 mathrm{m} ) | 11 |

580 | Assertion Pascal’s law is the working principle of hydraulic lift. Reason Pressure ( =frac{text {thrust}}{text {area}} ) A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

581 | In the arrangement shown below, a block of ( 2800 mathrm{kg} ) is in equilibrium on applying a force of 45 N. Find the density of the liquid? | 11 |

582 | The minimum and maximum values of ( F ) to keep the cylinder in static equilibrium just after the water starts to spill through the hole, if the coefficient of static friction between contact surfaces is 0.01 , are A ( 0,40 N ) N B. ( 5.4 N, 52.2 N ) ( c .0,70 N ) D. ( 0,52.2 N ) | 11 |

583 | Two drops of same radius are falling through air with steady speed ( 2^{frac{1}{3}} m / s . ) If the two drops coalesce, what would be the terminal speed in ( m / s ? ) ( mathbf{A} cdot mathbf{1} ) B. 4 ( c cdot 2 ) D. | 11 |

584 | The radius ( R ) of the soap bubble is doubled under iso-thermal condition. If ( boldsymbol{T} ) be the surface tension of soap bubble The work done in doing so is given by: ( mathbf{A} cdot 32 pi R^{2} T ) В . ( 24 pi R^{2} T ) c. ( 8 pi R^{2} T ) D. ( 4 pi R^{2} T ) | 11 |

585 | After terminal velocity is reached, the acceleration of a body falling through a viscous fluid is A. zero B. equal to g c. less than ( g ) D. more than ( g ) | 11 |

586 | A barometer is faulty. When the true barometer reading are 73 and ( 75 mathrm{cm} ) of ( mathrm{Hg}, ) the faulty barometer reads ( 69 mathrm{cm} ) and ( 70 mathrm{cm} ) respectively. What is the true reading when the faulty barometer reads ( 69.5 mathrm{cm} ? ) | 11 |

587 | A object of mass ( 1 mathrm{kg} ) and radius ( 1 mathrm{m} ) is falling vertically downward inside liquid in a gravity free space. At t=0 velocity of the sphere is ( 2 m s^{-1} . ) If the of viscosity of the liquid is ( frac{1}{18 pi} ) Pas, the velocity of the ball will become ( 0.5 mathrm{ma}^{-1} ) after a time (in second) ( A cdot ln 4 ) B. ( 2 ln 4 ) ( c cdot 3 ln 4 ) D. ( 3 ln 2 ) | 11 |

588 | Which of the following is used for punching holes in metals: A. Hydraulic brakes B. Hydraulic jack c. Hydraulic press D. All | 11 |

589 | The pressure on a swimmer ( 10 mathrm{m} ) below the surface lake is:(Atmospheric pressure ( =1.01 times 10^{5} ) Pa,Density of water ( left.=1000 k g / m^{3}right) ) A . 10 atm B. 5 atm c. 15 atm D. 2 atm | 11 |

590 | Equal volume of two immiscible liquids of densities ( rho ) and ( 2 rho ) are filled in a vessel as shown in the figure. Two smal holes are punched at depths h/2 and 3h/2 from the surface of lighter liquid. If ( v_{1} ) and ( v_{2} ) are the velocities of efflux at these two holes, then ( v_{1} / v_{2} ) is: ( ^{A} cdot frac{1}{2 sqrt{2}} ) B. ( frac{1}{2} ) ( c cdot frac{1}{4} ) D. ( frac{1}{sqrt{2}} ) | 11 |

591 | Calculate the energy spent in spraying a drop of mercury of ( r=1 mathrm{cm} ) radius into ( N=10^{6} ) droplets all of same size. If the surface tension of mercury is ( boldsymbol{T}=mathbf{3 5} times ) ( mathbf{1 0}^{-mathbf{3}} mathbf{N} / boldsymbol{m} ) | 11 |

592 | Pressure at a bottom in pond is 6 atm. The greatest integer less than or equal to the depth of the pond (in meters) is ( (60+x) . ) Find ( x ) | 11 |

593 | What makes a balloon get inflated when air is filled in it? | 11 |

594 | Stream line motion becomes turbulent motion when the velocity of the liquid is: A. beyond critical velocity B. critical velocity c. below critical velocity D. variable velocity | 11 |

595 | A metallic shpere of radius ( 1.0 times ) ( 10^{-3} m ) and density ( 1.0 times 10^{4} k g / m^{3} ) enters a tank of water after a free fall, falling through a distance of h in the earth’s gravitational field. If its velocity remains unchanged after entering water, determine the value of ( h ) [Given : coefficient of viscosity of water ( =1.0 times 10^{-3} N-s / m^{2}, g=10 m / s^{2} ) and density of water ( left.=1.0 times 10^{3} k g / m^{3}right] ) A. 20 ( m ) B. 40 ( m ) ( c cdot 80 m ) D. ( 10 mathrm{m} ) | 11 |

596 | A barometer is constructed with its tube having radius ( 1.0 mathrm{mm} ). Assume that the surface of mercury in the tube is spherical in shape. If the atmospheric pressure is equal to ( 76 mathrm{cm} ) of mercury, what will be the height raised in the barometer tube? The contact angle of mercury with glass ( =135^{circ} ) and surface tension of mercury ( =0.465 mathrm{N} m^{-1} ) Density of mercury ( =13600 mathrm{kg} m^{-3} ) | 11 |

597 | One spherical ball of radius ( R ), density released in a liquid of density ( d / 2 ) attains a terminal velocity ( V ). Another ball of radius ( 2 R ) and density ( 1.5 d ) released in the liquid will attain a terminal velocity A ( .2 V ) в. ( 4 V ) ( c .6 V ) D. 8V | 11 |

598 | An iron sphere of mass ( 20 times 10^{-3} k g ) falls through a viscous liquid with terminal velocity ( 0.5 m s^{-1} ). The terminal velocity ( left(text { in } m s^{-1}right) ) of another iron sphere of mass ( 54 times 10^{-2} k g ) is: A . 4.5 в. 3. c. 2.5 D. 1.5 | 11 |

599 | A soap bubble of radius ( r_{1} ) is placed on another soap bubble of radius ( r_{2}left(r_{1}<right. ) ( r_{2} ) ). The radius ( R ) of the soapy film separating the two bubbles is: ( mathbf{A} cdot r_{1}+r_{2} ) B . ( sqrt{r_{1}^{2}+r_{1}^{2}} ) c. ( left(r_{1}^{2}+r_{1}^{2}right) ) D. ( frac{r_{2} r_{1}}{r_{2}-r_{1}} ) | 11 |

600 | Calculate the pressure exerted (in Pa) by ( 0.8 m ) vertical length of alcohol of density ( 0.8 g mathrm{cm}^{-3} . ) (Acceleration due to ( left.operatorname{gravity}(boldsymbol{g})=10 m s^{-2}right) ) | 11 |

601 | The unit of the coefficient of viscosity in S.I. system is: ( mathbf{A} cdot m / k g s ) B . ( m s / k g^{2} ) c. ( k g / m s^{2} ) D. ( k g / m s ) | 11 |

602 | and we (i) (i) | 11 |

603 | we do not get crushed by the atmospheric pressure as the out internal pressure and the atmospheric pressure are? A. equal B. gretaer c. lower D. none of the above | 11 |

604 | If a capillary tube is tilted to ( 45^{circ} ) and ( 60^{circ} ) from the vertical then the ratio of length ( l_{1} ) and ( l_{2} ) of liquid columns in it will be – A. ( 1: sqrt{2} ) B. ( sqrt{2}: 1 ) c. 1: 2 D. 2: | 11 |

605 | Do liquids exert pressure on the sides of the container they are kept in? Justify. | 11 |

606 | The correct formula of critical velocity ( left(V_{c}right) ) is : A ( cdot V_{c}=frac{k eta d}{r} ) B. ( v_{c}=frac{k eta}{d r} ) ( ^{mathrm{C}} cdot_{V_{c}}=frac{d r}{k eta} ) D. ( V_{c}=frac{r eta}{d k} ) | 11 |

607 | Pressurize cabins are used in A. Ships B. Mountaineering C. Aircrafts D. Sphygmomanometer | 11 |

608 | A block of mass of a 2 kg with dimensions ( 5 c m times 20 c m times 10 c m ) respectively. The ratio of maximum to minimum pressure it exerts on the change in orientation is : A . 1: B. 1: 2 ( c cdot 1: 4 ) D. 4: 1 | 11 |

609 | The tension in a string holding a solid block below the surface of a liquid (where ( rho_{text {liquid}}>rho_{text {block}} ) ) as in shown in the figure is ( boldsymbol{T} ) when the system is at rest.Then what will be the tension in the string if the system has upward acceleration ( a ) ? ( ^{mathbf{A}} cdot Tleft(1-frac{a}{g}right) ) в. ( Tleft(1+frac{a}{g}right) ) ( ^{mathbf{c}} cdot Tleft(frac{a}{g}-1right) ) D. ( frac{a}{a} ) | 11 |

610 | Work done in forming a liquid drop of radius ( R ) is ( W_{1} ) and that of radius ( 3 R ) is ( W_{2} . ) The ratio of work done is: A .1: 3 B. 1: 2 c. 1: 4 D. 1: 9 | 11 |

611 | Pressure due to the weight of ice will be maximum at ( A ) ( B ) C. both 1 and 2 D. neither 1 nor 2 | 11 |

612 | A large open top container of negligible mass and uniform cross sectional area ( A ) has a small hole of cross sectional area ( ^{prime} a^{prime} ) in its side wall near the bottom. The container is kept over a smooth horizontal floor and contains a liquid of density’ ( rho^{prime} ) and mass ( ^{prime} m^{prime} . ) Assuming that the liquid starts flowing through the hole the acceleration of the container will be: ( ^{A} cdot frac{2 a g}{A} ) в. ( frac{a g}{A} ) c. ( frac{2 A g}{a} ) D. ( frac{A g}{a} ) | 11 |

613 | Two balls of same density falls in a viscous medium.The radius of first ball being double than the radius of second ball, then how many times is the sedimentation velocity of second ball to that of first ball will be: A . 1 B. 2 ( c cdot 4 ) ( D ) | 11 |

614 | Consider the barometer shown in figure. Density of mercury is ( rho . ) A small hole is made at point ( S ) as shown. The mercury comes out from this hole with speed ( boldsymbol{v} ) equal to : A ( cdot sqrt{2 g h} ) B. ( sqrt{2 g H} ) c. ( sqrt{2 g(H-h)} ) D. None of these | 11 |

615 | what happens when the air between the rubber sucker and plane surface escape out by pressing it firmly? A. stick to the surface B. does not stick c. stick loosely D. none of the surface | 11 |

616 | The formula for the resistance of a fluid is: ( ^{mathrm{A}} cdot_{R}=frac{pi r^{4}}{8 eta l} ) в. ( _{R}=frac{8 eta l}{pi r^{2}} ) c. ( _{R}=frac{8 eta l}{pi r^{3}} ) D. ( _{R}=frac{8 eta l}{pi r^{4}} ) | 11 |

617 | A spherical ball falls through viscous medium with terminal velocity ( v ). If this ball is replaced by another ball of the same mass but half the radius, then the terminal velocity will be (neglect the effect of buoyancy) ( A ) B . ( 2 v ) c. ( 4 v ) D. ( 8 v ) | 11 |

618 | Write the dimension of coefficient of viscosity. | 11 |

619 | A hammer exerts a force of ( 1.5 N ) on each of the two nails ( A ) and ( B ). The area of cross section of tip of nail ( boldsymbol{A} ) is ( 2 m m^{2} ) while that of nail ( B ) is ( 6 m m^{2} ) Let the pressure on nail ( A ) be ( x ) and that on nail ( B ) be ( y, ) then find ( frac{x}{y} ) A ( cdot frac{1}{3} ) в. 3 c. 9 D. ( frac{1}{9} ) | 11 |

620 | Based on the figure above, identify the correct statement(s) from the following This question has multiple correct options A. At sealevel, the mercury inside the tube stands upto ( 76 mathrm{cm} ) B. The pressure exerted inside a liquid is same at all points along the horizontal plane c. The vertical height of the liquid column is independent of the shape and size of the tube D. The height of barometric liquid column is independent of nature of liquid used | 11 |

621 | A boy stands on the ground. The area below his feet is ( 70 mathrm{cm}^{2} ). The pressure he exerts on the ground is ( 7 N / c m^{2} ) Calculate the total force acting on the ground. A . ( 0.1 N ) в. ( 10 N ) c. ( 490 N ) D. ( 4.9 N ) | 11 |

622 | A ball of weight ( W ) supported on a vertical jet of water. If the stream of water flowing from the nozzle has a diameter ( D ) and velocity ( u ), determine the value of ( H . ) Assume that no loss of energy takes place. Fig. 4.160 | 11 |

623 | The base of a cylindrical vessel measures ( 300 mathrm{cm}^{2} ), water is poured into it up to a depth of ( 6 mathrm{cm} ). Calculate the pressure of water on the base of the vessel. ( left(mathrm{g}=10 mathrm{m} / mathrm{s}^{2} ; text { density of water }=right. ) ( 1000 k g / m^{3} ) | 11 |

624 | One poise is equivalent to: A. 0.001 pascal second B. 0.0001 pascal second c. 0.01 pascal second D. 0.1 pascal second | 11 |

625 | If two soap bubbles of different radii are connected by a tube, A. air flows from the bigger bubble to the smaller bubble till the sizes are interchanged. B. air flows from bigger bubble to the smaller bubble till the sizes are interchanged c. air flows from the smaller bubble to the bigger D. There is no flow of air | 11 |

626 | A small metal sphere of radius a is falling with a velocity ( v ) through a vertical column of a viscous liquid. If the coefficient of viscosity of the liquid is ( eta ), then the sphere encounters an opposing force of A ( .6 pi eta a^{2} v ) в. ( frac{6 eta v}{pi a} ) c. ( 6 pi eta a v ) D. ( frac{pi eta v}{6 a^{3} v} ) | 11 |

627 | According to Newton, the viscous force acting between liquid layers of area ( boldsymbol{A} ) and velocity gradient ( frac{Delta v}{Delta z} ) is given by ( F=-eta a frac{d v}{d z}, ) where ( eta ) is constant called ( mathbf{A} cdotleft[M L^{-2} T^{-2}right] ) В ( cdotleft[M^{0} L^{0} T^{0}right] ) ( mathbf{c} cdotleft[M L^{2} T^{-2}right] ) D. ( left[M L^{-1} T^{-1}right] ) | 11 |

628 | bricks each. Aswin arranged his four bricks as shown in figure A. Anwar arranged his bricks as shown in figure B, in order to be a taller one. Now let us complete the following sentences by choosing the right option below (equal to, less than, more than) a) The force of ( A ) on the ground is the force of ( B ) on the ground. b) The area that ( A ) occupies is ( B ) on the ground. c) The pressure exerted by ( A ) is the pressure exerted by B. | 11 |

629 | When at rest, a liquid stands at the same level in the tubes as shown in the figure. But as indicated, a height difference ( h ) occurs when the system is given an acceleration ( a ) towards the right. Then ( h ) is equal to ( ^{A} cdot frac{a L}{2 g} ) в. ( frac{g L}{2 a} ) c. ( frac{g L}{a} ) D. ( frac{a L}{q} ) | 11 |

630 | State True or False. The CGS unit of pressure is 10 times greater than the MKS unit of pressure. A. True B. False | 11 |

631 | A tank is filled with two immiscible liquids of densities ( 2 rho ) and ( rho ) each of height ( h ). Two holes are made to the side wall at ( frac{h}{2} ) and ( frac{3 h}{2} ) from upper surface of the liquid, then the ratio of velocity of efflux of the liquids through the holes A ( frac{sqrt{2}}{3} ) в. ( frac{sqrt{3}}{1} ) c. ( frac{3}{sqrt{2}} ) D. ( frac{1}{sqrt{2}} ) | 11 |

632 | Equal masses of methane and hydrogen are mixed in an empty container at ( 25^{circ} mathrm{C} . ) The fraction of the total pressure exerted by hydrogen is: A ( cdot frac{1}{2} ) в. ( c cdot frac{1}{9} ) D. ( frac{16}{17} ) | 11 |

633 | In a car lift, compressed air exerts a force ( F ) on a small piston having a radius of ( 5 mathrm{cm} . ) This pressure is transmitted to a second piston of radius ( 15 mathrm{cm} . ) If the mass of the car to be lifted is ( 1350 k g ), what is ( F ? ) A . ( 1.5 times 10^{3} N ) В. ( 2.5 times 10^{3} N ) c. ( 3.5 times 10^{3} N ) D. ( 4.5 times 10^{3} N ) | 11 |

634 | toppr Q Type your question B ( c ) ( D ) | 11 |

635 | What are the forces imparted by atmosphere on the walls of a room of dimension ( 6 m times 5 m times 4 m ?(1 mathrm{Atm} .= ) ( mathbf{1 0}^{mathbf{5}} boldsymbol{N} / boldsymbol{m}^{mathbf{2}} mathbf{)} ) ( mathbf{A} cdot 7 times 10^{6} N ) B ( cdot 2 times 10^{7} N ) C ( .2 times 10^{8} N ) D. ( 2 times 10^{6} N ) | 11 |

636 | Assertion At depth ( h ) below the water surface pressure is ( P . ) Then at depth ( 2 h ) pressure will be ( 2 P . ) (Ignore density variation) Reason With depth pressure increases linearly. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

637 | Fill in the blank. Pressure is inversely proportional to A . force B. mass c. area D. none of the above | 11 |

638 | Assertion Dust particles generally settle down in a closed room. Reason The terminal velocity is inversely proportional to the square of their radii. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

639 | The earth retains its atmosphere because A. the value of the escape is less than the average kinetic of atmospheric molecules. B. the value of the escape is more than the average kinetic of atmospheric molecules c. the earth rotates D. the earth is spherical | 11 |

640 | Vessel shown in the figure has two sections of areas of cross section ( boldsymbol{A}_{mathbf{1}} ) and ( A_{2} . ) A liquid of density ( rho ) fills both sections up to a height ( h ) in each. Neglect atmospheirc pressure A. The pressure at the base of the vessel is ( 2 h rho g ) B. The force exerted by the liquid on the base is ( 2 h rho A_{2} g ) C. The weight of the liquid is less thatn ( 2 h g rho A_{2} ) D. Walls of the vessel at the level ( x ) exert a downward force ( h g rholeft(A_{2}-A_{1}right) ) on the liquid. | 11 |

641 | Pressure exerted by a sharp needle on a surface is : A. More than the pressure exerted by a blunt needle. B. Less than the pressure exerted by a blunt needle. C. Equal to the pressure exerted by a blunt needle. D. None of these. | 11 |

642 | A sealed tank contains water to a height of ( 11 mathrm{m} ) and air at 3 atm. Water flower out from the bottom of a tank through a small hole. The velocity of efflux is ( (g= ) ( left.10 m s^{-2}right) ) ( mathbf{A} cdot 18.1 mathrm{ms}^{-1} ) B. 24.2 ( m s^{-1} ) c. ( 20.4 m s^{-1} ) D. 28.6 ( m s^{-1} ) | 11 |

643 | toppr Q Type your question heat with the liquid. The bubble contains n moles of gas. The temperature of the gas when the bubbles is at the bottom is ( T_{0}, ) the height of the liquid is ( mathrm{H} ) and the atmospheric pressure is ( P_{0} ) (neglect surface tension). When the gas bubble is at height ( y ) from the bottom, its temperature is: A ( cdot quad T_{0}left(frac{P_{0}+rho_{1} g H}{P_{0}+rho_{1} g y}right)^{frac{2}{5}} ) ( ^{mathbf{B}} T_{0}left(frac{P_{0}+rho_{1} g(H-y)}{P_{0}+rho_{1} g H}right)^{frac{2}{3}} ) c. [ T_{0}left(frac{P_{0}+rho_{1} g H}{P_{0}+rho_{1} g y}right) overline{5} ] ( P_{0}left(frac{P_{0}+rho_{1} g(H-y)}{P_{0}+rho_{1} g y}right)^{frac{3}{5}} ) | 11 |

644 | The working of hydraulic brakes is based on Pascal’s law. A. True B. False | 11 |

645 | The weight of a man is ( 750 mathrm{N} ) The total area of the soles of his shoes is ( 250 mathrm{cm}^{2} ) Find the pressure he applies on the floor ( mathbf{A} cdot 30,000 P a ) B. ( 15,000 P a ) c. ( 60,000 P a ) D. ( 90,000 P a ) | 11 |

646 | At a certain point in a pipeline the velocity is ( 1 m / s ) and gauge pressure is ( mathbf{3} times mathbf{1 0}^{mathbf{5}} quad boldsymbol{N} / boldsymbol{m}^{2} . ) Find the gauge pressure at a second point in the line ( 20 m ) lower than the first, if the cross- section at the second point is half that at the first. The liquid in the pipe is water | 11 |

647 | A cube of Ice is floating in water. The fraction of its length lie outside the water is (sp. Gravity of Ice ( =mathbf{0 . 9 6} ) ) A . 0.04 в. 0.4 c. 0.96 D. None of these | 11 |

648 | What is a hydraulic jack? A. Device uses force to lift heavy objects B. Device uses force for pumping water C. Device uses force to pump air D. Device use to lower the harder objects | 11 |

649 | The water forecasting department uses as the unit of pressure A. bar в. ( N m^{-2} ) ( c . P a ) D. mm of ( H g ) | 11 |

650 | The pressure difference across a pipe of length ( 5 c m ) is ( 2 times 10^{3} ) Pa. Work done by the pressure in forcing ( 2 m^{3} ) of water through the pipe in joule is : A ( cdot 4 times 10^{5} ) B . ( 2 times 10^{5} ) ( c cdot 2 times 10^{4} ) D. ( 4 times 10^{3} ) | 11 |

651 | In the air brake, air pressure is supplied by A. Engine manifold B. A compressor c. The diaphragm valve D. pump | 11 |

652 | If the system is not in free fall, which of the following statements is true about hydrostatic pressure? This question has multiple correct options A. In a liquid, point at different depth can never be at the same pressure. B. In a liquid, point at different depth may be at the same pressure. C. In different liquids, points at different depths can be at the same pressure. D. In different liquids, points at the same depths can never be at the same pressure. | 11 |

653 | The diameter of ball ( y ) is double that of ( x ). The ratio of their terminal velocities inside water will be: A . 1: 4 B . 4: 1 c. 1: 2 D. 2: 1 | 11 |

654 | Fill in the blank. Keeping the surface area constant, if the force is doubled, pressure A. remains same B. become half c. becomes double D. becomes zero | 11 |

655 | Two vessels ( A ) and ( B ) of cross-sections as shown in figure contain a liquid up to the same height. As the temperature rises, the liquid pressure at the bottom (neglecting expansion of the vessels) will: ( mathbf{A} ). increase in ( A ), decrease in ( B ) B. increase in ( B ), decrease in ( A ) C. increase in both ( A ) and ( B ) D. decrease in both ( A ) and ( B ) | 11 |

656 | Through a non-uniform pipe, a nonviscous liquid is flowing from section ( mathbf{A} ) to B as shown in figure.Which of following is correct? A. since liquid is flowing from A to B, therefore, pressure at A is greater than at B. Velocity at B is greater than that at C. Total energy per unit volume of the liquid is greater at than that at D. Axis of pipe can be horizonta | 11 |

657 | The velocity of a ball of mass m density d1d1 becomes constant after some time.The viscous force acting on the ball will be: A. non of these в. ( _{m g}left(1-frac{d_{2}}{d_{1}}right) ) c. ( m gleft(frac{d_{1}+d_{2}}{d_{1}}right) ) D. ( _{m g}left(frac{d_{1}+d_{2}}{d_{2}}right) ) | 11 |

658 | A horizontally oriented tube ( A B ) of length rotates with a constant angular velocity ( omega ) about a stationary vertica axis ( 00^{prime} ) passing through the end ( A ) (fig) The tube is filled with an ideal fluid. The end ( A ) of the tube is open, the closed end B has a very small orifice. Find the velocity of the fluid relative to the tube as a function of the column ‘height’ ( boldsymbol{h} ) A ( . v=omega sqrt{h(l-h)} ) В . ( v=omega sqrt{h(2 l-h)} ) c. ( v=omega h ) D. ( v=omega sqrt{2 h(l-h)} ) | 11 |

659 | A container filled with viscous liquid is moving vertically downwards with constant speed ( 3 v_{0} . ) At the instant shown, a sphere of radius ( r ) is moving vertically downwards (in liquid) has speed ( v_{0} . ) The coefficient of viscosity is ( eta . ) There is no relative motion between the liquid and the container. Then at the shown instant, the magnitude of viscous force acting on sphere is: ( mathbf{A} cdot 6 pi eta r v_{0} ) В. ( 12 pi eta r v_{0} ) ( mathbf{c} cdot 18 pi eta r v_{0} ) D. 24pietarv | 11 |

660 | If the radii of two bubbles are ( boldsymbol{R}_{1} ) and ( boldsymbol{R}_{2} ) then the ratio of respective masses of air in them will be: A ( cdot frac{R_{1}}{R_{2}} ) в. ( frac{R_{2}}{R_{1}} ) ( ^{mathbf{c}} cdot frac{P_{o}+frac{4 T}{R_{1}}}{P_{o}+frac{4 T}{R_{2}}} ) ( ^{mathrm{D}} cdot frac{P_{o}+frac{4 T}{R_{1}}}{P_{o}+frac{4 T}{R_{2}}}left(frac{R_{1}}{R_{2}}right)^{3} ) | 11 |

661 | The velocity of water in river is 180kmh ( ^{-1} ) near the surface. If the river is ( 5 mathrm{m} ) deep, then the Shearing stress between the surface layer and the bottom layer is then(coefficient of viscosity of water, ( boldsymbol{eta}=mathbf{1 0}^{-mathbf{3}} boldsymbol{P a} boldsymbol{s} ) ( mathbf{A} cdot 10^{-2} N m^{-2} ) B. ( 10^{-3} N m^{-2} ) c. ( 10^{-4} N m^{-2} ) D. ( 10^{-5} N m^{-2} ) | 11 |

662 | In a typical hydraulic press, a force of ( 20 mathrm{N} ) is exerted on small piston of area ( 0.050 mathrm{m} 2 . ) What is force exerted by large piston on load if it has an area of 0.50 m2? A. 200N B. 100N c. 50N D. 10N | 11 |

663 | Consider the following two statements A and B and identify the correct answer. A) The work done in blowing a bubble of volume ( V ) is ( W ), then the work done in blowing a soap bubble of volume 2 V will be ( 2^{2 / 3} w ) B) The excess pressure inside a soap bubble of diameter D and surface tension ( mathrm{S} ) is ( frac{8 S}{D} ) A. A&B are false B. A is false but B is true C. A is true but B is false D. A & B are true | 11 |

664 | (1) Define atmosphere and atmospheric pressure. (2) What do you mean by the state of motion? (3) On what factors does the effect of force depend? | 11 |

665 | toppr Q Type your question Superman arrives on the top of a cliff and, due to some reason, Superman lost his flying power immediately after arrival on cliff. Due to shortage of time, somehow, Superman manages a strong and long straw and decided to drink whole water of lake to save Bantu. (Data:Atmospheric pressure ( =1.2 times ) ( 10^{5} P a, g=10 m / s^{2}, ) density of water ( = ) 1000 ( k g / m^{3} ) ) Assume Superman has infinite power and ability to drink whole water. Which of the following statements is/are true? (1) Superman cannot save Bantu by this way. (2) Superman can drink some water but not whole water. (3) Superman will save Bantu by drinking whole water. A. Only (1) & (2) B. Only (3) c. Only (1) D. AII (1), (2) & (3) are wrong | 11 |

666 | When two cylinder with different size like larger and smaller are kept together then though the pressure is same in both, still the force required is more for larger cylinder. Due to increase in which property? A. Area B. height c. weight D. volume | 11 |

667 | The velocity of air over the upper surface of the wing of an aerplane is ( 40 m / s ) and that on the lower surface is ( 30 m / s . ) If the area of the wing is ( 5 m^{2} ) and the mass of the wing is ( 300 k g ), the net force acting on the wing is then (Density of air ( =1.3 k g / m^{3} ) and ( g= ) ( left.10 m / s^{2}right) ) A . 725 N upward B. 725 N downward c. ( 2275 N ) upward D. ( 2275 N ) downward | 11 |

668 | A stream line body with relative density ( d_{1} ) falls into air from a height ( h_{1} ) on the surface of a liquid of relative density ( boldsymbol{d}_{2} ) where ( d_{2} ) is greater than ( d_{1} ). The time of immersion of the body into the liquid will be ( A ) [ sqrt{left(frac{2 h_{1}}{g}right)} times frac{d_{1}}{d_{2}-d_{1}} ] в. [ sqrt{left(frac{2 h_{1}}{g}right)} ] ( c ) [ sqrt{left(frac{2 h_{1}}{g}right)} times frac{d_{1}}{d_{2}} ] D. [ sqrt{left(frac{2 h_{1}}{g}right)} times frac{d_{2}}{d_{1}} ] | 11 |

669 | To measure the radius of the drop Millikan used ( _{-1-}- ) law of freely falling drops. A. Poiseuille’s B. Ostwald’s c. Brewester’s D. stoke’s | 11 |

670 | Explain the relation between the area of contact and pressure exerted on a body. | 11 |

671 | A small hole is made at a height of ( boldsymbol{h}= ) ( boldsymbol{m} ) from the bottom of a cylindrical water tank and at a depth of ( boldsymbol{h}=mathbf{2 m} ) from the upper level of water in the tank. The distance, where the water emerging from the hole strikes the ground, is: A ( .22 m ) в. ( 1 m ) ( c .2 m ) D. None of these | 11 |

672 | A tank of large base area is filled with water up to a height of 5 m. A hole of ( 2 mathrm{cm}^{2} ) cross section section in the bottom allows the water to drain out in continuous streams. For this situation, mark out the correct statement(s) (take [ left.boldsymbol{rho}_{boldsymbol{w} boldsymbol{a} boldsymbol{t} e r}=mathbf{1 0 0 0} boldsymbol{k} boldsymbol{g} /^{2}, boldsymbol{g}=mathbf{1 0} boldsymbol{m} / boldsymbol{s}^{2}right) ] This question has multiple correct options A. The cross sectional area of the emerging stream of water decreases as it falls down B. The cross sectional area of the emerging stream of water increases as it falls down C. At a distance of ( 5 mathrm{m} ) below the bottom of the tank, the cross-sectional area of the stream is ( 1.414 mathrm{cm}^{2} ) D. At a distance of ( 5 m ) below the bottom of the tank, the cross-sectional area of the stream is ( 2.86 mathrm{cm}^{2} ) | 11 |

673 | A glass is filled with water up to its brim and a thick hand card placed on top of it. Now keeping the card tightly closed and pressed with palm, the glass full of water is inverted and placed upside down. The palm is gently removed from the card. It is observed that the piece of card dose not fall off the glass though the glass is full of water and its whole weight is exerting pressure on the card. Why does it happen? | 11 |

674 | A cylindrical vessel of cross-sectional area ( 1000 mathrm{cm}^{2}, ) is fitted with a frictionless piston of mass ( 10 k g ), and filled with water completely. A small hole of cross-sectional area ( 10 m m^{2} ) is opened at a point ( 50 c m ) deep from the lower surface of the piston. The velocity of efflux from the hole will be A. ( 10.5 mathrm{m} / mathrm{s} ) в. ( 3.4 m / s ) c. ( 0.8 m / s ) D. ( 0.2 m / s ) | 11 |

675 | A snap bubble is being blown on a tube of radius ( 1 mathrm{cm} ). the surface tension of the soap solution is ( 0.05 mathrm{N} / mathrm{m} ) and the bubble makes an angle of ( 60^{circ} ) with the tube as shown. The excess of pressure over the atmospheric pressure in the tube is: ( A cdot 5 P a ) B. 1 Pa c. ( 10 mathrm{Pa} ) D. 20 Pa | 11 |

676 | Assertion While blowing a soap bubble, to increase the size of soap babble, we have to increase the air pressure within the soap bubble. Reason To increase the size of soap bubble, more air has to be pushed into the bubble. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

677 | Simple barometer was first discovered in A. 1886 B. 1991 ( c .1643 ) D. 1362 | 11 |

678 | A capillary tube is dipped in water vertically.Water rises to a height of 10mm. The tube is now tilted and makes an angle ( 60^{circ} ) with vertical.Now water rises to a height of: ( A cdot 10 mathrm{mm} ) B. ( 5 mathrm{mm} ) c. ( 20 mathrm{mm} ) D. 40 mm | 11 |

679 | If the value of ( g ) at a place is decreased by ( 2 % . ) The barometric height of the mercury A. Increases by ( 2 % ) B. Decreases by ( 2 % ) C . Remains unchanged D. Sometime increases and sometime decreases | 11 |

680 | Each of 27 identical spherical drops of a conducting liquid is charged upto a potential of Vo. They coal ease to form a bigger drop. What is the potential on the surface of this bigger drop. ( mathbf{A} cdot 9 V^{circ} ) B. ( 3 V^{circ} ) ( mathrm{c} cdot 27 mathrm{V}^{circ} ) D. ( V^{text {d }} ) | 11 |

681 | An open U-tube contains mercury. When ( 13.6 mathrm{cm} ) of water is pourd into one of the ( operatorname{arms} ) of the tube then the mercury rise in the other arm from its initial level is: A . ( 1 c m ) B. ( 0.5 mathrm{cm} ) ( mathbf{c} cdot 10 mathrm{cm} ) D. ( 5 mathrm{cm} ) | 11 |

682 | Water is filled upto height H units in a tank placed on the ground and whose side walls are vertical. A hole is made in one of the vertical wall such that the emerging stream of water strikes the ground at the maximum range. If the level in the tank is changing at the rate of R units per second, at that instant the rate at which range will be changing will be: A. R/2 units per second B. R units per second c. 2R units per second D. zero | 11 |

683 | In the arrangement shown above, a block of mass ( 2700 mathrm{kg} ) is in equilibrium on applying a force F. The value of force ( mathrm{F} ?left(d_{l i q u i d}=0.75 g c m^{-3} i sright) ) A . ( 147 N ) B. ( 1755.18 N ) c. ( 153 N ) D. ( 918 N ) | 11 |

684 | When we stand on loose sand, our feet go deep into the sand. But when we lie down on the sand our body does not go that deep into the sand. But when we lie down on the sand our body does not go that deep in the sand. Why? | 11 |

685 | A water hose of cross sectional area 4 ( mathrm{cm}^{2} ) is used to fill a 30 Iit vessel. If it takes 1 minute to fill that vessel, the speed at which water leaves the hose is: ( mathbf{A} cdot 250 mathrm{cms}^{-1} ) B. ( 62.5 mathrm{cms}^{-1} ) c. ( 125 mathrm{cms}^{-1} ) D. ( 500 mathrm{cms}^{-1} ) | 11 |

686 | State whether true or false: A simple barometer is compact and portable. A. True B. False | 11 |

687 | An open capillary tube contains a drop of water. When the tube is in its vertical position, the drop forms a column with a length of ( 2.98 mathrm{cm} ). The internal diameter of the capillary tube is 1 mm. The radii of curvature of the upper meniscus (in ( mathrm{mm} ) )is ( frac{x}{4} ). Consider the wetting to be complete. Surface tension of water ( =0.0075 N / m . ) Find the value of ( x ) | 11 |

688 | Ratio of area of hole to beaker is 0.1 Height of liquid in beaker is ( 3 m, ) and hole is at the height of ( 52.5 mathrm{cm} ) from the bottom of beaker, find the square of the velocity of liquid coming out from the hole: ( mathbf{A} cdot 50(m / s)^{2} ) B. ( 50.5(m / s)^{2} ) c. ( 51(m / s)^{2} ) D. ( 42(m / s)^{2} ) | 11 |

689 | What principle law explains the working of the hydraulic brakes in automobiles? A. Bernoulli’s Law B. Posieulles principle c. Pascal’s law D. Archimedes principle | 11 |

690 | A jet of water with area of cross-section ( 3 c m^{2} ) strikes a wall at an angle ( boldsymbol{theta}=mathbf{6 0}^{circ} ) to the normal and be rebounds elastically from the wall with the same speed. If the speed of water in the jet is ( 12 mathrm{m} / mathrm{s}, ) then the force acting on the wall is A . ( 4.31 N ) В. ( 4.32 times 10^{-2} N ) c. ( 4.32 times 10^{-3} N ) D. 43.2N | 11 |

691 | toppr Q Type your question of densities ( sigma_{1} ) and ( sigma_{2} ) and viscosities ( eta_{1} ) and ( eta_{2}, ) respectively. They float in equilibrium with the sphere ( P ) in ( L_{1} ) and sphere ( Q ) in ( L_{2} ) and the string being taut f sphere ( P ) along in ( L_{2} ) has terminal velocity ( vec{V}_{P} ) and ( Q ) along in ( L_{1} ) has terminal velocity ( vec{V}_{Q}, ) then This question has multiple correct options | 11 |

692 | The tangential forces per unit area of the liquid layer required to maintain unit velocity gradient is known as: A. coefficient of gravitation of liquid layer B. coefficient of friction between layers c. coefficient of viscosity of the liquid D. temperature coefficient of viscosity | 11 |

693 | Which of the following pump is preferred for flood control and irrigation applications? A. Centrifugal pumop B. Axial Flow pump C. Mixed flow pump D. Reciprocating pump | 11 |

694 | has a radius ( boldsymbol{R} ) and height ( boldsymbol{L}_{mathbf{0}} ). The cylinder is open at its bottom and has a small hole at its top. A piston of mass ( M ) is held at a distance ( L ) from the top surface as shown in Fig. The atmospheric pressure is ( boldsymbol{p}_{0} ) The piston is now pulled out slowly and held at a distance ( 2 L ) from the top. The pressure in the cylinder between its top and the piston will then be: ( mathbf{A} cdot P_{0} ) в. ( frac{P_{0}}{2} ) c. ( frac{P_{0}}{2}-frac{M g}{pi R^{2}} ) D. ( P_{0}-frac{M g}{pi R^{2}} ) | 11 |

695 | It is easier to cut with a sharp knife than with a blunt one. | 11 |

696 | An ideal fluid is flowing in a tube of varying cross-section. At some point the radius of the tube is ( r ) and the velocity of flow is ( v ). The velocity of flow at another point, where the radius is ( r / 2 ) is A. в. ( frac{v}{2} ) ( c cdot 2 v ) D. ( 4 v ) | 11 |

697 | Two parallel wires each of length ( 10 c m ) are ( 0.5 mathrm{cm} ) apart. A film of water is formed between them. If the surface tension of water is ( 0.072 N / m, ) then the work done in on increasing the distance between the wires by 1 mm is A . ( 1.44 times 10^{-5} mathrm{J} ) в. ( 1.72 times 10^{-5} mathrm{J} ) c. ( 1.44 times 10^{-4} J ) D. ( 1.72 times 10^{-4} J ) | 11 |

698 | pistons ( A ) and ( B ) of area of cross section ( 8 c m^{2} ) and ( 320 c m^{2} ) respectively, are joined at their bottom by a tube and they are completely filled with water. Find ( :(mathrm{i}) ) the pressure on piston ( mathrm{A} ), (ii) the pressure on piston ( mathrm{B} ), and (iii) the thrust on piston B.(consider effort on piston ( mathbf{A} boldsymbol{E}=mathbf{4} boldsymbol{k} boldsymbol{g} boldsymbol{f}) ) ( mathbf{A} cdot(mathrm{i}) 5 mathrm{kg} f mathrm{cm}^{-2} ) (ii) ( 5 mathrm{kg} f mathrm{cm}^{-2} ) (iii) ( 160 mathrm{kgf} ) B. (i) 5 kgf ( c m^{-2} ) (ii) ( 5 mathrm{kg} mathrm{fcm}^{-2} ) (iii) ( 16 mathrm{kg} f ) C ( cdotleft(text { i) } 10 text { kgf } c m^{-2}right. ) (ii) ( 10 mathrm{kg} mathrm{fcm}^{-2} ) (iii) ( 160 mathrm{kg} f ) D. (i) ( 0.5 mathrm{kg} mathrm{fcm}^{-2} ) (ii) ( 0.5 mathrm{kg} mathrm{fcm}^{-2} ) (iii) ( 160 mathrm{kg} f ) | 11 |

699 | A small hollow sphere, which has a small hole in it, is immersed in water to a depth of ( 0.5 mathrm{m} ) before any drop penetrates into it. If surface tension for water is ( 0.073 mathrm{N} / mathrm{m} ), the radius of the hole is : [Assume pressure inside the sphere to be atmospheric pressure] ( A .0 .06 mathrm{mm} ) B. ( 0.03 mathrm{mm} ) c. ( 0.09 mathrm{mm} ) D. 0.15 mm. | 11 |

700 | The press plungers of a Bramah (hydraulic) press is ( 40 mathrm{cm}^{2} ) in crosssection and is used to lift a load of mass ( 800 k g . ) What minimum force is required to be applied to the pump plunger if its cross-sectional area is ( 0.02 m^{2} ? ) | 11 |

701 | Initially ( (l=0), ) the force on the cart is equal to: A . ( 20 N ) B. ( 40 N ) ( c .80 N ) D. zero | 11 |

702 | The dimension of coefficient of viscosity ( eta ) is : ( mathbf{A} cdotleft[M L^{-1} T^{-1}right] ) ( mathbf{B} cdotleft[M L T^{-2}right] ) ( mathbf{c} cdotleft[M L T^{-1}right] ) D. ( left[M L^{2} T^{-2}right] ) | 11 |

703 | The pressure inside a soap bubble of radius ( 1 c m ) balances ( 1 m m ) of a column of oil of specific gravity ( 0.8 . ) If the surface tension of the soap solution (in ( N / m ) ) is ( mathbf{T}=mathbf{n} times mathbf{1 0}^{-2}, ) find ( n . ) (Take acceleration due to gravity to be ( left.10 m / s^{2}right) ) | 11 |

704 | A capillary tube when immersed vertically in a liquid records a rise of ( 3 c m . ) if the tube is immersed in the liquid at an angle of ( 60^{circ} ) with the vertical, then length of the liquid column along the tube will be: ( A cdot 2 c m ) в. 3 ст c. ( 6 mathrm{cm} ) D. 9 cm | 11 |

705 | Assertion: Sudden fall of pressure at a place indicates storm Reason: Air flows from higher pressure | 11 |

706 | The excess of pressure inside a soap bubble is twice the excess pressure inside a soap bubble. The volume of the first bubble is ( n ) times the volume of the second where n is A .0 .125 B. 0.250 c. 1 D. | 11 |

707 | Air expands from 5 litres to 10 litres at 2 atom pressure. External workdone is A . ( 10 J ) в. ( 1000 J ) c. ( 3000 J ) D. 300J | 11 |

708 | Height of a liquid column in a manometer decrease: A. with decreasing density of liquid B. with increasing density of liquid c. with no change in density of liquid D. as independent of liquid used | 11 |

709 | Assertion When fluids flow, there is some loss of energy due to friction. Reason Different layers of the fluid exert forces on each other. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

710 | An object shaped as a hemisphere rests with its flat surface on a table. The object has radius ( r ) and density ( rho ) The volume of a sphere is ( frac{4}{3} pi r^{3} ) Which average pressure does the object exert on the table? ( A ) B. c. ( frac{2}{3} rho r ) D. ( frac{2}{3} rho r g ) | 11 |

711 | An air bubble of radius r rises from the bottom of a tube of depth H. When it reaches the surface, its radius becomes 3r. What is the atmospheric pressure in terms of height of water column? A ( cdot frac{H}{2} ) в. ( frac{H}{4} ) c. ( frac{H}{8} ) D. ( frac{H}{26} ) | 11 |

712 | Pressure head in Bernoulli’s equation is: A ( cdot frac{P rho}{g} ) в. ( frac{P}{rho g} ) ( c cdot rho g ) D. ( P rho g ) | 11 |

713 | In the figure shown an ideal liquid is flowing through the tube which is of uniform area of cross-section. The liquid has velocities ( boldsymbol{v}_{A} ) and ( boldsymbol{v}_{B}, ) and pressures ( P_{A} ) and ( P_{B} ) at points ( A ) and ( B ) respectively. Then it going to be A ( cdot v_{B}>v_{A} ) ( mathbf{B} cdot v_{B}=v_{A} ) ( mathbf{c} cdot P_{B}<P_{A} ) ( mathbf{D} cdot P_{B}=P_{A} ) | 11 |

714 | Read the following statements and pick the correct choice Statement A: With increase in temperature, viscosity of a gas increases and that of a liquid decreases. Statement B: If the density of a small sphere is equal to the density of the liquid in which it is dropped, then the terminal velocity of the sphere will be zero. A. Both A and B are true B. Both A and B are false c. A is true and B is false D. B is true but A is false. | 11 |

715 | In the experimental arrangement shown in figure, the areas of cross-section of the wide and narrow portions of the tube are ( 5 mathrm{cm}^{2} ) and ( 2 mathrm{cm}^{2} ) respectively. The rate of flow of water through the tube is ( 500 mathrm{cm}^{3} mathrm{s}^{-1} . ) The difference of mercury levels in the U-tube is: A. ( 0.97 mathrm{cm} ) в. 1.97 ст ( mathrm{c} .0 .67 mathrm{cm} ) D. ( 4.67 mathrm{cm} ) | 11 |

716 | A cylindrical vessel filled with water up to a height of ( 2 mathrm{m} ) stands on a horizontal plane. The side wall of the vessel is a plugged circular hole touching the bottom. Find the minimum diameter of the hole so that the vessel begins to move on the floor if the plug is removed. The coefficient of friction between the bottom of the vessel and the plane is 0.4 and the total mass of water plus vessel is ( 100 mathrm{kg} ) | 11 |

717 | The diagram shows a venturimeter through which water is flowing. The speed of water ( X ) is ( 2 mathrm{cms}^{-1} . ) The speed of water at ( Yleft(text { taking } g=10 mathrm{ms}^{-2}right) ) is A ( .23 mathrm{cms}^{-1} ) B. ( 32 mathrm{cms}^{-1} ) c. ( 101 mathrm{cms}^{-1} ) D. ( 1024 mathrm{cms}^{-1} ) | 11 |

718 | A leakage begins in water tank at position ( P ) as shown in the figure. The initial gauge pressure pressure above that of the atmosphere) at ( P ) was ( 5 x ) ( 10^{5} N / m^{2} ). If the density of water is 1000kg/ ( m^{3} ) the initial velocity with which water gushes out is: A ( .3 .2 m s^{-1} ) B. ( 32 m s^{-1} ) ( mathbf{c} cdot 28 m s^{-1} ) D. ( 2.8 m s^{-1} ) | 11 |

719 | The apparent depth of water in a cylindrical water tank of diameter ( 2 R ) ( mathrm{cm} ) is reducing at the rate of ( x mathrm{cm} / mathrm{min} ) when water is being drained out at a constant rate. The amount of water drained in ( c c / ) minute is: ( left(n_{1}=right. ) refractive index of air, ( n_{2}= ) refractive index of water) A ( cdot frac{x pi R^{2} n_{1}}{n_{2}} ) В ( cdot frac{x pi R^{2} n_{2}}{n_{1}} ) ( mathbf{c} cdot frac{2 pi R n_{1}}{n_{2}} ) D. ( pi R^{2} x ) | 11 |

720 | A sphere of mass ( mathrm{M} ) and radius ( mathrm{R} ) is falling in a viscous fluid. The terminal velocity attained by the falling object will be proportional to ( mathbf{A} cdot M R^{2} ) B. M/R c. мк D. ( M / R^{2} ) | 11 |

721 | A drop of water detaches itself from the exit of a tap when ( (sigma= ) surface tension of water. ( rho= ) density of water, ( boldsymbol{R}= ) radius of the tap exit, ( r= ) radius of the drop) ( r>left(frac{2 R sigma}{3 rho g}right)^{1 / 3} ) В. ( quad r>frac{2}{3} frac{sigma}{rho g} ) ( ^{mathrm{C}} cdot frac{2 sigma}{r}> ) atmospheric pressure ( r>left(frac{2 R sigma}{3 rho g}right)^{2 / 3} ) E. None of the above | 11 |

722 | works on the Pascal’s law and is used in automobiles. A. Hydraulic press B. Hydraulic lift c. Hydraulic jack D. All | 11 |

723 | Assertion: Smaller drops of liquid resist deforming forces better than the larger drops Reason: Excess pressure inside a drop is directly proportional to its surface | 11 |

724 | What is the pressure drop (in ( mathrm{mm} ) Hg) in the blood as it passes through a capillary ( 1 mathrm{mm} ) long and ( 2 mu m ) in radius if the speed of the blood through the centre of the capillary is ( 0.66 mathrm{mm} / mathrm{s} ) ? (The viscosity of whole blood is ( 4 times ) ( 10^{-3} ) poise | 11 |

725 | Which of the following factors affect pressure? This question has multiple correct options A. Area B. Acceleration c. Force D. None | 11 |

726 | The work done in splitting a drop of water of 1 mm radius into ( 10^{6} ) droplets is (surface tension of water ( 72 times ) ( left.mathbf{1 0}^{-mathbf{3}} mathbf{N} / boldsymbol{M}right) ) A . ( 5.98 times 10^{-5} mathrm{J} ) В. ( 10.98 times 10^{-5} J ) c. ( 16.95 times 10^{-5} J ) D. ( 8.95 times 10^{-5} J ) | 11 |

727 | manometer M as shown. The stop cock S controls the flow of air. AB is dipped into a liquid whose surface tension is ( sigma ) On opening the stop cock for a while, a bubble is formed at ( mathrm{B} ) and the manometer level is recorded, showing a difference ( h ) in the levels in the two arms. If ( rho ) be the density of manometer liquid and ( r ) the radius of curvature of the bubble, then the surface tension ( sigma ) of the liquid is given by ( mathbf{A} cdot rho h r g ) B. 2 phrg c. 4 phrg D. ( frac{r h rho g}{4} ) | 11 |

728 | The vertical height of mercury which a simple barometer can support at sea level is ( mathbf{A} cdot 76 mathrm{cm} ) B. more than ( 76 mathrm{cm} ) c. less than ( 76 mathrm{cm} ) D. none of these | 11 |

729 | A liquid is kept in a cylindrical vessel, which is rotated along its axis. The liquid rises at the side. If the radius of the vessel is ( 5 mathrm{cm} ) and the frequency of rotation is 4 rev/s, then the difference in the height of the liquid at the centre of the vessel and its sides is: A. ( 8 mathrm{cm} ) B. 2 ( mathrm{cm} ) c. ( 40 mathrm{cm} ) ( D cdot 4 mathrm{cm} ) | 11 |

730 | A film of water is formed between two straight parallel wires each ( 10 mathrm{cm} ) long and at separation 0.5cm. Calculate the work required to increase ( 1 mathrm{mm} ) distance between the wires. Surface tension of water ( =mathbf{7 2} times mathbf{1 0}^{-mathbf{3}} mathbf{N} / mathbf{m} ) A ( cdot 1.44 times 10^{-3} ) В. ( 1.44 times 10^{-7} ) c. ( 1.44 times 10^{-5} ) D. ( 1.44 times 10^{-4} ) | 11 |

731 | A force of ( 100 N ) is applied on an area of ( 4 m^{2} . ) the pressure being applied on the area is ( mathbf{A} cdot 50 P a ) B. ( 25 P a ) c. ( 12.5 P a ) D. ( 400 P a ) | 11 |

732 | Release valve is seen in: A. Hydraulic brakes B. Hydraulic jack c. Hydraulic press D. All | 11 |

733 | An ideal fluid flows in the pipe as shown in the figure. The pressure in the fluid at the bottom ( p_{2} ) is the same as it is at the top ( p_{1} ). If the velocity of the top ( v_{1}= ) ( boldsymbol{m} / boldsymbol{s} . ) Then the ratio of areas ( boldsymbol{A}_{1} . boldsymbol{A}_{2} ) is A . 2: 1 B . 4: 1 ( c cdot 8: 1 ) D. 4: 3 | 11 |

734 | During blood transfusion the needle is inserted in a vein where the gauge pressure is 2000 Pa. At what height must the blood container be placed so that the blood mayjust enter the vein? Density of whole blood is 1.06 ( times 10^{3} k g / m^{3} ) A. ( 0.1 mathrm{m} ) B. 0.2 ( m ) ( c .0 .5 mathrm{cm} ) D. 0.7 ( m ) | 11 |

735 | For the determination of the coefficient of viscosity of a given liquid, a graph between square of the radius of the spherical steel balls and their terminal velocity is plotted. The slope of the graph is given by A ( cdot frac{r^{2}}{v} ) в. ( frac{v^{2}}{r} ) c. ( _{frac{v}{r}} ) D. ( frac{v}{r^{2}} ) | 11 |

736 | Which formula is used to calculate the coefficient of viscosity of a given liquid in the laboratory (symbols have their usual meanings)? A ( cdot_{eta}=frac{9}{2}(rho-sigma) g frac{r^{2}}{v} ) в. ( frac{2}{9}(rho-sigma) g frac{r^{2}}{v} ) ( ^{mathrm{c}} cdot frac{2}{9}(rho-sigma) g frac{r^{2}}{v g} ) ( ^{mathrm{D}} cdot frac{2}{9}(rho-sigma) g frac{v g}{r^{2}} ) | 11 |

737 | Calculate the pressure exerted by a man weighing 85 kg standing on a piece of tile. The dimensions of his feet are ( 30.2 mathrm{cm} times 15 mathrm{cm} ) A. ( 20,825 mathrm{N} / mathrm{m}^{2} ) В. ( 2,458 N / m^{2} ) c. ( 21,754 N / m^{2} ) D. ( 28,456 N / m^{2} ) | 11 |

738 | A marble of mass ( x ) and diameter ( 2 r ) is gently released in tall cylinder containing honey. If the marble displace ( operatorname{mass} boldsymbol{y}(<boldsymbol{x}) ) of the liquid, then the terminal velocity is proportional to ( mathbf{A} cdot x+y ) в. ( x-y ) c. ( frac{x+y}{r} ) D. ( frac{x-y}{r} ) | 11 |

739 | Stream line flow of a liquid at a given point. A. Has the same magnitude B. Has the same direction c. Both a and ( b ) D. None of these | 11 |

740 | Give the absolute and gauge pressure of the gas in the enclosure for cases (a) and (b)in units of cm of mercury | 11 |

741 | The space above the mercury column in a barometer contains_ – ( — ) (mercury, water) vapour. | 11 |

742 | The height ( h_{m} ) at which the hole should be punched so that the liquid travels the maximum distance is A. ( frac{2 H}{3} ) в. ( frac{3 H}{8} ) c. ( frac{4 H}{3} ) ( D cdot frac{5 H}{3} ) | 11 |

743 | Equal volume of two immiscible liquids of densities ( rho ) and ( 2 rho ) are filled in a vessels as shown in the figure. Two small holes are punched at depths ( h / 2 ) and ( 3 h / 2 ) from the surface of lighter liquid. if ( v_{1} ) and ( v_{2} ) are the velocities of efflux at these two holes, then ( frac{mathrm{v}_{1}}{mathrm{r}} ) is ( A cdot frac{1}{2 sqrt{2}} ) B. ( frac{1}{2} ) ( c cdot frac{1}{4} ) D. ( frac{1}{sqrt{2}} ) | 11 |

744 | The type of flow in which there is a regular gradient of velocity in going from one layer to the next is called laminar flow. If true enter ( 1, ) for false enter 0 | 11 |

745 | In a cylindrical vessel containing liquid of density ( rho, ) there are two holes in the side walls at heights of ( h_{1} ) and ( h_{2} ) respectively such that the range of efflux at the bottom of the vessel is same. Find the height of a hole, for which the range of efflux would be maximum A ( cdot frac{h_{2}+h_{1}}{2} ) B. ( frac{h_{2}-h_{1}}{2} ) ( c cdot frac{h_{2} h_{1}}{2} ) D. ( frac{h_{2}}{h_{1}} ) | 11 |

746 | In which of the following positions ( A, B ) and ( C ) of a cuboid will it exert maximum pressure? ( A cdot A ) B. B ( c cdot c ) D. In all positions it will exert equal pressure | 11 |

747 | Choose the correct statement from the following? This question has multiple correct options A. Pressure is same at all points in the horizontal plane B. A liquid seeks its own level C. The lateral pressure exerted by a liquid decreases with the increase in depth of the liquid D. The upper surface of a stationary liquid is always horizontal | 11 |

748 | A spherical ball of diameter ( 1 mathrm{cm} ) and density ( 5 times 10^{3} mathrm{kg} m^{-3} ) is dropped gently in a large tank containing viscous liquid of density ( 3 times 10^{3} mathrm{kg} m^{-3} ) and coefficient of viscosity ( 0.1 mathrm{Ns} m^{-2} ) The distance, the ball moves in 1 s after attaining terminal velocity is ( (boldsymbol{g}= ) ( left.10 m s^{-2}right) ) A ( cdot frac{10}{9} mathrm{m} ) в. ( frac{2}{3} ) m c. ( frac{4}{9} mathrm{m} ) D. ( frac{4}{5} mathrm{m} ) E ( cdot frac{9}{10} mathrm{m} ) | 11 |

749 | Pascal (Pa) is the unit of A. Thrust B. Pressure c. Buoyant force D. Momentum | 11 |

750 | Water rises in a capillary upto a height h. If now this capillary is tilted by an angle of ( 45^{circ}, ) then the length of the water column in the capillary becomes ( A cdot 2 h ) в. ( frac{h}{2} ) c. ( frac{h}{sqrt{2}} ) D. ( h sqrt{2} ) | 11 |

751 | Assertion: A raindrop after falling through some height attains a constant velocity Reason: At constant velocity, the viscous drag is equal to its weight. A. Both assertion and reason are true and reason is correct explanation of assertion B. Both assertion and reason are true but reason is not the correct explanation of assertion. c. Assertion is true but reason is false. D. Both assertion and reason are false | 11 |

752 | A fixed container of height ( ^{prime} boldsymbol{H}^{prime} ) with large cross-sectional area ( ^{prime} A^{prime} ) is completely filled with water. orifice of cross-sectional area ( ^{prime} a^{prime} ) are made, one at the bottom and the other on the vertical wall container at a distance ( H / 2 ) from the top of the container. Find the time taken by the water level of a height of ( boldsymbol{H} / mathbf{2} ) to get reduced to ground level. | 11 |

753 | In case ( A, ) when an 80 kg skydiver falls with arms and legs fully extended to maximize his surface area, his terminal velocity is ( 60 mathrm{m} / mathrm{s} ). In Case ( B ), when the same skydiver falls with arms and legs pulled in and body angled downward to minimize his surface area, his terminal velocity increases to ( 80 mathrm{m} / mathrm{s} ). In going from Case A to Case B, which of the following statements most accurately describes what the skydiver experiences? A ( cdot F_{text {air ressitanne }} ) increases and pressure ( P ) increases B. ( F ) aireesisance increases and pressure ( P ) decreases c. ( F_{text {ir resistance decreases and pressure } P text { increases }} ) D. ( F_{text {air easitance remains the same and pressure }} P ) increases | 11 |

754 | In a hydraulic machine, a force of ( 2 N ) is applied on the piston of area of cross section ( 10 mathrm{cm}^{2} ). What force is obtained on its piston of area of cross section ( 100 mathrm{cm}^{2} ? ) A. 20 N B. 10 N ( c cdot 5 N ) D. 40 N | 11 |

755 | The level of water in a tank is ( 5 mathrm{m} ) high. hole of area of cross section ( 1 mathrm{cm}^{2} ) is made at the bottom of the tank. The rate of leakage of water from the hole in ( boldsymbol{m}^{3} boldsymbol{s}^{-1} ) is ( left(boldsymbol{g}=10 mathrm{ms}^{-2}right) ) A ( cdot 10^{-3} ) B . ( 10^{-4} ) c. 10 D. ( 10^{-2} ) | 11 |

756 | In a laminar flow the velocity of the liquid in contact with the walls of the tube is A. zero B. Maximum c. In between zero and maximum D. Equal to critical velocity | 11 |

757 | Speed of efflux is A ( cdot sqrt{3 g h} ) в. ( sqrt{2 g h} ) ( c cdot sqrt{g h} ) D. ( frac{1}{2} sqrt{2 g h} ) | 11 |

758 | During blood transfusion the needle is inserted in a vein where the gauge pressure is 2000 Pa. At what height must the blood container be placed so that blood mayjust enter the vein? [Density of whole blood ( =1.06 times ) ( left.10^{3} k g m^{-3}right] ) | 11 |

759 | The material used for brake drum is A. Alluminum alloy B. Cast steel c. Pressed steel D. cast Iron | 11 |

760 | A tank is filled with water up to height H. Water is allowed to come out of a hole Pin one of the walls at a depth D below the surface of water as shown in the figure. Express the horizontal distance in terms of H and D: A. ( x=sqrt{D(H-D)} ) B. ( x=sqrt{frac{D(H-D)}{2}} ) c. ( x=2 sqrt{D(H-D)} ) D. ( x=4 sqrt{D(H-D)} ) | 11 |

761 | A solid ball of volume ( V ) is dropped in a viscous liquid. It experiences a viscous force F. If the solid ball of volume ( 2 V ) of same material is dropped in the same fluid, then the viscous force acting on it will be ( mathbf{A} cdot n F / 2 ) B. ( F / 2 ) ( c .2 F ) D. ( 2 n F ) | 11 |

762 | If the surface tension of water is ( mathbf{0 . 0 6} N / boldsymbol{m}, ) then the capillary rise in a tube of a diameter 1 m ( m ) is ( :left(theta=0^{circ}right) ) A . ( 1.22 mathrm{cm} ) B. 2.44 ст ( c .3 .12 c m ) D. ( 3.86 mathrm{cm} ) | 11 |

763 | A ball of mass ( m ) and radius ( r ) is released in a viscous liquid. The density of the liquid is negligible compared to that of the ball.The value of its terminal velocity is proportional to: A ( cdot frac{1}{r} ) only в. ( frac{m}{r} ) c. ( sqrt{frac{m}{r}} ) D. m only | 11 |

764 | The upward force acting on an object immersed in a liquid is called ( ldots )….. force. It is alos called | 11 |

765 | The weight of the body immersed in a liquid appears to be than its actual weight. | 11 |

766 | 64 spherical rain drops of equal size are falling vertically through air with a terminal velocity ( 1.5 m s^{-1} . ) If these drops coalesce to form a big spherical drop, then terminal velocity of big drop is: ( mathbf{A} cdot 8 m s^{-1} ) В. ( 16 mathrm{ms}^{-1} ) c. ( 24 m s^{-1} ) D. ( 32 mathrm{ms}^{-1} ) | 11 |

767 | The surface energy of a liquid drop is ( boldsymbol{E} ) It is sprayed into 1000 equal droplets. The work done in spraying is ( mathbf{A} cdot 999 E ) в. ( 99 E ) ( mathrm{c} .9 mathrm{E} ) D. ( E ) | 11 |

768 | A brick with dimensions of ( 20 mathrm{cm} times ) ( 10 c m times 5 c m ) has a weight 500 gwt. Calculate the pressure exerted by it when it rests on different faces. A ( cdot ) case (i) ( P_{1}=1.25 g w t c m^{-2}, ) Case (ii) ( P_{2}=5 g w t c m^{-2} ) Case (iii) ( P_{3}=5 g w t c m^{-2} ) B. case (i) ( P_{1}=2.5 g w t c m^{-2} ), Case (ii) ( P_{2}=5 g w t c m^{-2} ) Case (iii) ( P_{3}=10 ) gwtem ( ^{-2} ) C. case (i) ( P_{1}=5 g w t c m^{-2} ), Case (ii) ( P_{2}=25 g w t c m^{-2} ) Case (iii) ( P_{3}=15 ) gwtcm ( ^{-2} ) D. case (i) ( P_{1}=2.5 g w t c m^{-2} ), Case (ii) ( P_{2}=2.5 g w t c m^{-2} ) Case (iii) ( P_{3}=10 g w t c m^{-2} ) | 11 |

769 | A spherical ball of radius ( 1 times 10^{-4} m ) and density ( 10^{4} k g / m^{3} ) falls freely under gravity through a distance ( h ) before entering a tank of water. If after entering the water the velocity of the ball does not change, find ( h ) in ( mathrm{m} ) (Write answer to nearest interger). (The viscosity of water is ( 9.8 times ) ( left.10^{-6} N-s / m^{2}right) ) | 11 |

770 | According to Bernoulli’s equation the expression which remains constant is: ( ^{mathbf{A}} cdot p+frac{rho v^{2}}{2} ) ( ^{mathbf{B}} P+frac{rho v^{2}}{2}-rho g h ) ( mathbf{c} cdot P+rho g h ) ( P+rho g h+frac{rho v^{2}}{2} ) | 11 |

771 | The energy required to break a mercury drop of ( 1 c m ) radius into 1000 small drops of equal size is ( ldots ldots J ) (given the surface tension of mercury is ( 0.4 N . m^{-1} ) A. ( 144 pi times 10^{-2} ) B. ( 1.44 pi ) c. ( 14.4 pi times 10^{-4} ) D. 144 | 11 |

772 | In a hydraulic lift, used at a service station, the radius of the large and small piston is in the ratio of 20: 1. What weight placed on the small piston will be sufficient to lift a car of mass 1500 kg? A. ( 3.75 mathrm{kg} ) B. 37.5 kg c. ( 7.5 mathrm{kg} ) D. 75 kg | 11 |

773 | When a solid sphere moves through a liquid the liquid opposes is the motion with a force the magnitude of the force depends upon the coefficient of viscosity of the liquid the radius of the sphere find the expression of force using dimension formula: A ( cdot v t=frac{2(d-rho) g r^{2}}{8 eta} ) B. ( v t=frac{(d-rho) g r^{2}}{6 eta} ) c. ( v t=frac{2(d-rho) g r^{2}}{9 eta} ) ( V t=frac{(d-rho) g r^{2}}{9 eta} ) | 11 |

774 | Some liquid is filled in a cylindrical vessel of radius ( R ) Let ( F_{1} ) be the force applied by the liquid on the bottom of the cylinder. Now the same liquid is poured into a vessel of uniform square cross-section of side ( boldsymbol{R} ). Let ( boldsymbol{F}_{2} ) be the force applied by the liquid on the bottom of this new vessel. (Neglect atmosphere pressure). Then ( mathbf{A} cdot F_{1}=pi F_{2} ) B. ( F_{1}=frac{F_{2}}{pi} ) ( mathbf{C} cdot F_{1}=sqrt{pi F_{2}} ) ( mathbf{D} cdot F_{1}=F_{2} ) | 11 |

775 | State whether true or false: The air pressure can support ( 13.10 m ) vertical column of mercury. A. True B. False | 11 |

776 | Assertion If an object is submerged in fluid at rest, the fluid exerts a force on its surface. Reason The force exerted by the fluid at rest has to be parallel to the surface in contact with it. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

777 | A marble of mass ( x ) and diameter ( 2 r ) is gently released a tall cylinder containing honey.If the marble displaces mass ( $ $ y(langle 1, x) ) of the liquid then the terminal velocity is proportional to A. ( (x+y) ) в. ( (x-y) ) c. ( left(frac{x+y}{r}right) ) D. ( left(frac{x-y}{r}right) ) | 11 |

778 | Two drops of equal radii are falling through air with a terminal velocity of ( 5 mathrm{cm} s^{-1} . ) If they coalesce into one drop, what will be the terminal velocity of the new drop? | 11 |

779 | At high altitudes, A. Blood pressure exceeds much more than atmospheric pressure B. Blood pressure is less than atmospheric pressure C. Blood pressure equals the atmospheric pressure D. None | 11 |

780 | A ( 1.5 m ) wide by ( 2.5 m ) long water bed weighs ( 1025 N ). Find the pressure that the water bed exerts on the floor. Assume that the entire lower surface of | 11 |

781 | Atmospheric pressure is measured by a A. Doctor’s thermometer B. Speedometer c. Mercury barometer D. all of these | 11 |

782 | A container is filled with water, accelerating with acceleration ( 10 m / s^{2} ) long ( +v e X ) -axis on a smooth horizontal surface. The velocity of efflux of water at a point ( boldsymbol{P} ) at the bottom of the tank and near its left most corner is ( mathbf{A} cdot 4.43 m / s ) B. ( 5.48 mathrm{m} / mathrm{s} ) ( mathbf{c} cdot 4 m / s ) D. ( 3 m / s ) | 11 |

783 | The area of cross-section of the two arms of a hydraulic press are ( 1 mathrm{cm}^{2} ) and ( 10 mathrm{cm}^{2} ) respectively (figure). A force of ( 50 mathrm{N} ) is applied on the water in the thicker arm. What force should be applied on the water in the thinner arm so that the water may remain in equilibrium? A. 5 N B. 10 N ( c cdot 25 N ) D. 50 N | 11 |

784 | If a number of little droplets of water of surface tension ( sigma, ) all of the same radius ( r ) combine to form a single drop of radius ( R ) and the energy released is converted into kinetic energy, find the velocity acquired by the bigger drop. | 11 |

785 | Three containers are used in a chemistry lab. All containers have the same bottom area and the same height. A chemistry student fills each of the containers with the same liquid to the maximum volume. Which of the following is true about the pressure on the bottom in each container? A ( . P_{1}=P_{2}=P_{3} ) в. ( P_{1}>P_{2}>P_{3} ) c. ( P_{1}<P_{2}=P_{3} ) D. ( P_{1} P_{3} ) | 11 |

786 | If the area of wing is ( 80 mathrm{m}^{2} ), then the net upward force is A ( cdot 2.35 times 10^{3} mathrm{N} ) B . ( 0.56 times 10^{4} ) N c. ( 6.43 times 10^{5} ) N D. ( 1.17 times 10^{6} ) N | 11 |

787 | Identify the ascending order of the work done in the following cases. a) Work done in increasing the radius of soap bubble from ( 2 mathrm{cm} ) to ( 4 mathrm{cm}(mathrm{T}= ) ( 0.04 mathrm{Nm}^{-1} ) ). b) Work done in increasing the radius of a soap bubble from ( 2 mathrm{cm} ) to ( 4 mathrm{cm}(mathrm{T}= ) ( left.0.08 N m^{-1}right) ) c) Work done in breaking a liquid drop of radius ( 1 mathrm{cm} ) into ( 10^{6} ) droplets of same ( operatorname{size}left(T=0.08 N m^{-1}right) ) ( A cdot b, ) a & ( c ) B. ( c, a & b ) ( c cdot a, b & c ) D. ( c, b & ) a | 11 |

788 | Two forces of ( 1 mathrm{N} ) each act on the smallest and the largest sides of a rectangular box. Which side experiences greater pressure? | 11 |

789 | When we press the bulb of dropper with its nozzle kept in water, air in the dropper is seen to escape in the form of bubbles. Once we release the pressure on the bulb, water gets filled in the dropper. The rise of water in the dropper is due to: A. Pressure of water B. Gravity of the earth c. shape of rubber bulb D. Atmospheric pressure | 11 |

790 | An air bubble of diameter 2 mm rises steadily through a solution of density ( 1750 k g / m^{3} ) at the rate of ( 0.35 c m / s ) Coefficient of viscosity of the solution is (Assume mass of the bubble to be negligible) : A . 9 poise B. 6poise c. 11 poise D. 4 poise | 11 |

791 | Poise is the unit of : A. surface tension B. capillarity c. viscosity D. buoyancy | 11 |

792 | A cold soft drink is kept on the balance. When the cap is open, then the weight: A. increases B. decreases c. first increases then decreases D. remains same | 11 |

793 | The sports boot for soccer and hockey have studs on their soles.Why? | 11 |

794 | The area of pistons in a hydraulic machine are ( 5 c m^{2} ) and ( 625 c m^{2} . ) The force on the smaller piston so that a load of ( 1250 N ) on the larger piston can be supported, is ( X ) N. Find ( frac{X}{2} ) N. A. 5 B. 10 c. 1250 D. None of the above | 11 |

795 | A liquid enter at point ( A_{1} ) with speed 3.5 ( mathrm{m} / mathrm{s} ) and leaves at point ( A_{2} . ) Then find out the height attained by the liquid above point ( boldsymbol{A}_{mathbf{2}} ) A ( .61 .25 mathrm{cm} ) B. ( 51.25 mathrm{cm} ) c. ( 41.25 mathrm{cm} ) D. ( 71.25 mathrm{cm} ) | 11 |

796 | A copper ball of radius ( r ) is moving with a uniform velocity ( v ) in the mustard oil and the dragging force acting on the ball is ( F . ) The dragging force on the copper ball of radius ( 2 r ) with uniform velocity ( 2 v ) in the mustard oil is A. ( F ) в. ( 2 F ) c. ( 4 F ) D. ( 8 F ) | 11 |

797 | The diameter of neck and bottom of a bottle are ( 2 mathrm{cm} ) and ( 10 mathrm{cm} ) respectively. The bottle is completely filled with oil. If the cork in the neck is pressed in with a force of ( 1.2 k g f, ) the amount of force applied on the bottom is B. ( F=15 ~ k g f ) c. ( F=1.2 k g f ) D. ( F=60 mathrm{kg} f ) | 11 |

798 | A horizontal pipe line carries water in a streamline flow. At a point along the tube where the cross-sectional area is ( 10^{-2} m^{2}, ) the water velocity is ( 2 m s^{-1} ) and the pressure is 8000 Pa. The pressure of water at another point where the cross-sectional area is ( 0.5 times ) ( 10^{-2} m^{2} ) is? | 11 |

799 | When we drink liquid with a straw, the air pressure inside the straw A. Increases B. Decreases ( c cdot ) Both D. Remains equal to the air pressure | 11 |

800 | Explain how is the height of mercury column in tube of a simple barometer is a measure of the atmospheric pressure. | 11 |

801 | Which of the following instrument is used for measuring gauge pressure? A. Thermometer B. Barometer c. Manometer D. Hydrometer | 11 |

802 | The mass of a lead ball is ( M ). It falls down in a viscous liquid with terminal velocity ( V ). The terminal velocity of another lead ball of mass ( 8 M ) in the same liquid will be: A . ( 64 . V ) B. ( 4 V ) ( c cdot 8 V ) D. ( V ) | 11 |

803 | A cylindrical vessel contains a liquid of density ( rho ) upto a height ( h ). The liquid is closed by a piston of mass ( m ) and area of cross section A.There is a small hole at the bottom of the vessel.The speed with which the liquid comes out of the vessel is: A. ( sqrt{2 g h} ) в. ( sqrt{2left(g h+frac{m g}{rho A}right)} ) c. ( sqrt{2left(g h+frac{m g}{A}right)} ) D. ( sqrt{2 g h+frac{m g}{A}} ) | 11 |

804 | Bernoulli’s principle is based on the law of conservation of : A. Mass B. Momentum c. Energy D. None of these | 11 |

805 | In a horizontal pipe line of uniform cross-section,pressure falls by 5 Pa between two points separated by ( 1 k m ) The change in the kinetic energy per kg of the oil flowing at these points is : (Density of oil ( =mathbf{8 0 0} ) kgm ( ^{-3} ) ) A . ( 6.25 x 10^{-3} mathrm{Jkg}^{-1} ) B. ( 5.25 x 10^{-4} mathrm{Jkg}^{-1} ) c. ( 3.25 x 10^{-5} mathrm{Jkg}^{-1} ) D. ( 4.25 x 10^{-2} mathrm{Jkg}^{-1} ) | 11 |

806 | If two soap bubbles of different radii are connected by a tube, then: A. air flows from bigger bubble to the smaller bubble till sizes become equal B. air flows from bigger bubble to the smaller bubble till sizes are interchanged c. air flows from smaller bubble to bigger D. there is no flow of air | 11 |

807 | A metal ball ( B_{1} ) (density ( 3.2 g / c c ) ) is dropped in water, while another metal ball ( B_{2} ) (density ( 6.0 g / c c ) ) is dropped in a liquid of density ( 1.6 g / c c ). If both the balls have the same diameter and attain the same terminal velocity, the ratio of viscosity of water to that of the liquid is A . 2.0 B. 0.5 c. 4.0 D. Indeterminate due to insufficient dat | 11 |

808 | The divers have to wear specially designed air filled suits for their protection while diving deep under the sea. | 11 |

809 | A small metal ball of mass ‘m’ is dropped in a liquid contained in a vessel, attains a terminal velocity ‘v’. If a metal ball of same metarial but of mass ( 8 mathrm{m}^{prime} ) is dropped in same liquid, then the terminal velocity will be: A. ( V ) B. ( 2 V ) ( c .4 V ) D. ( 8 V ) | 11 |

810 | Assertion: An object falling through a viscous medium eventually attains terminal velocity Reason: All the rain drops hit the surface of the earth with the same constant velocity A. Both assertion and reason are true and reason is correct explanation of assertion. B. Both assertion and reason are true but reason is not the correct explanation of assertion. c. Assertion is true but reason is false. D. Both assertion and reason are false | 11 |

811 | The Sl unit of pressure is: A. atmosphere B. ( d y n e / c m^{2} ) c. Pascal D. mm of Hg | 11 |

812 | A piston of cross-sectional area ( 100 mathrm{cm}^{2} ) is used in a hydraulic press to exert a force of ( 10^{7} ) dyne on the water. The cross-sectional area of the other piston which supports an object having a mass of ( 2000 mathrm{kg} ) is : A ( cdot 100 mathrm{cm}^{2} ) B. ( 10^{9} mathrm{cm}^{2} ) c. ( 2 times 10^{4} c m^{2} ) D. ( 2 times 10^{10} mathrm{cm}^{2} ) | 11 |

813 | A liquid is contained in a vertical tube of a semi-circular cross section as shown. If angle contact is zero, the forces of surface tension on the curved part and on the part are in ratio | 11 |

814 | A closed bottle containing water (at ( 30^{circ} ) C) is carried in a spaceship and place on the surface of the moon. What will happen to the water when the bottle is opened? A. Nothing will happen to it B. Water will freeze c. Water will boil D. It will decompose into ( H_{2} ) and ( O_{2} ) | 11 |

815 | The rain drops falling from the sky neither injure us nor make holes on the ground because they move with: A. constant acceleration B. variable acceleration c. variable speed D. constant terminal velocity | 11 |

816 | A long capillary glass tube of uniform diameter of ( 1 mathrm{mm} ) is filled completely with water and then held vertically in air. It is now opened at both ends. Find the length of the water column remaining in the glass tube. Surface tension of water is ( 0.075 N / m .(g= ) ( 10 m / s^{2} ) and density of water is ( left.mathbf{1 0}^{mathbf{3}} mathbf{k g} / boldsymbol{m}^{mathbf{3}}right) ) A. Zero в. ( 1.5 mathrm{cm} ) ( c cdot 3 mathrm{cm} ) D. ( 6 mathrm{cm} ) | 11 |

817 | Answer true or false. ‘Faster the movement of the air greater is the drop in pressure’. A. True B. False | 11 |

818 | Water coming out of a horizontal tube at a speed ( v ) strikes normally a vertically was close to the mouth of the tube and falls down vertically after impact. When the speed of water is increased to ( 2 v ) This question has multiple correct options A. the thrust exerted by the water on the wall will be doubled B. the thrust exerted by the water on the wall will be four times c. the energy lost per second by water strikeup the wall will also be four times D. the energy lost per second by water striking the wall will be increased eight times | 11 |

819 | In steady horizontal flow: A. The pressure is greatest where the speed is least B. The pressure is independent of speed C. The pressure is least where the speed is least D. (a) and (c) are correct | 11 |

820 | A horizontal pipe of non-uniform crosssection allows water to flow through it with a velocity ( 1 mathrm{ms}^{-1} ) when pressure is 50kPa at a point. If the velocity of flow has to be ( 2 mathrm{ms}^{-1} ) at some other piont,the pressure at that point should be: A. 50 kPa B. 100kPa c. ( 48.5 mathrm{kPa} ) D. 24.25 kPa | 11 |

821 | A capillary tube when immersed vertically in a liquid rises to ( 3 mathrm{cm} ). If the tube is held immersed in the liquid at an angle of ( 60^{circ} ) with the vertical,the length of the liquid column along the tube will be: A. ( 2 mathrm{cm} ) B. 4.5 ( mathrm{cm} ) ( mathrm{c} cdot 6 mathrm{cm} ) D. 7.5 ( mathrm{cm} ) | 11 |

822 | In a hydraulic lift, used at a service station the radius of the large and small piston are in the ratio of ( 20: 1 . ) What weight placed on the small piston will be sufficient to lift a car of mass 1500 kg? A. ( 3.75 mathrm{kg} ) B. 37.5 kgg ( g ) c. ( 7.5 mathrm{kg} ) D. 75 kg | 11 |

823 | Assertion Liquids and gases are largely incompressible and densities are therefore, nearly constant at all pressures. Reason Liquids exhibits large variation in densities with pressure but gases do not. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

824 | The vacuum above the surface of mercury in a barometer is called A. Newton’s vacuum B. Torricelli’s vacuum c. Einstein’s vacuum D. Rutherford’s vacuum | 11 |

825 | A solid weights ( 500 mathrm{N} ). Calculate the pressure extended by solid on surface if the area of contact is ( 100 mathrm{cm} ) square. | 11 |

826 | A flat plate is moving normal to its plane through a gas under the action of a constant force ( boldsymbol{F} ). The gas is kept at a very low pressure. The speed of the plate ( v ) is much less than the average speed ( u ) of the gas molecules. Which of the following options is/are true? This question has multiple correct options A. The resistive force experienced by the plate is proportional to ( v ) B. At a later time the external force ( F ) balances the resistive force C. The plate will continue to move with constant non-zero acceleration, at all times D. The pressure difference between the leading and trailing faces of the plate is proportional to ( u v ) | 11 |

827 | After terminal velocity is reached the acceleration of a body falling through a viscous fluid is: A. zero B. ( g ) c. less thang D. greater than g | 11 |

828 | Water is flowing through a horizontal tube. The pressure of the liquid in the portion where velocity is ( 2 m / s ) is ( 2 m ) of ( H g . ) What will be the pressure in the portion where velocity is ( 4 m / s ) | 11 |

829 | Water and oil are poured into the two limbs of a U-tube containing mercury. The interfaces of the mercury and the liquids are at the same height in both limbs. Determine the height of the water column ( h_{1} ) if that of the oil ( h_{2}=20 c m ) The density of the oil is 0.9 | 11 |

830 | Q Type your question (density ( rho) ) moves with a velocity ( ^{prime} v^{prime} ) inside the tube and comes to rest inside the bubble. The surface tension of the soap solution is ( T . ) After some time the bubble, having grown to a radius’ ( r^{prime} ) separates from the tube. Find the value of ‘ ( r^{prime} ). Assume that ( r>>b ) so that you can consider the air to be falling normally on the bubble’s surface. A ( cdot frac{4 T}{P v^{2}} ) в. ( frac{4 T}{P v} ) c. ( frac{2 T}{P v^{2}} ) D. ( frac{4 T}{P_{v}^{3}} ) | 11 |

831 | Two spherical rain drops with radiii in the ratio 1: 2 fall from a great height through the atmosphere. The ratio of their momenta after they have attained terminal velocity is A .1: 8 B. 2: ( c cdot 1: 32 ) D. 1: 2 E . 1: 16 | 11 |

832 | Velocity of a viscous liquid in long cylinder of radius ( R ) at a distance ( R_{1} ) from centre is ( V_{1} ) Find the velocity of the liquid as a function of the distance from the axis of the cylinder, | 11 |

833 | Assertion The pressure at the bottom of two tanks of different area of cross sections are equal if they contain same liquid to same height Reason Pressure of a liquid is hdg and is independent of shape and width of the container A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct | 11 |

834 | A metal sphere of radius ( 1 m m ) and mass ( 50 m g ) falls vertically in glycerine. Find the hydrostatic force exerted by the glycerine on the sphere. | 11 |

835 | gas in an enclosure as shown in Fig (a). When a pump removes some of the gas, the manometer reads as in Fig (b). The liquid used in the manometers is mercury and the atmospheric pressure is ( 76 mathrm{cm} ) of mercury. (a) Give the absolute and gauge pressure of the gas in the enclosure for cases (a) and (b), in units of ( c m ) of mercury. (b) How would the levels change in case (b) if ( 13.6 mathrm{cm} ) of water (immiscible with mercury) are poured into the right limb of the manometer? (Ignore the small change in the volume of the gas). ( (a) ) | 11 |

836 | Pressure varies inversely with area ( (A) ) provided the thrust is same. A. True B. False | 11 |

837 | Why is it difficult to hold a school bag having a strap made of a thin and strong string? A. The pressure exerted on the shoulder is very large B. The pressure exerted on the shoulder is less than usual c. The pressure exerted on the shoulder is almost zero D. The thin string always slips down | 11 |

838 | Hydraulic brakes are based on A. Pascal’s law B. Torricelli’s law c. Newton’s law D. Boyle’s law | 11 |

839 | Define stream line, streak line, path line and give their differences | 11 |

840 | In air, a charged soap bubble of radius ‘r’ is in equilibrium having outside and inside pressures being equal. The charge on the bubble is ( (epsilon= ) permittivity of free space Tesurface tension of soap solution) A ( cdot 4 pi r^{2} sqrt{frac{2 T epsilon_{0}}{r}} ) В. ( 4 pi r^{2} sqrt{frac{4 T epsilon_{0}}{r}} ) c. ( _{4 pi r^{2}} sqrt{frac{6 T epsilon_{0}}{r}} ) D. ( 4 pi r^{2} sqrt{frac{8 T epsilon_{0}}{r}} ) | 11 |

841 | The atmospheric pressure is due to the: A. sky above our head B. air mass surrounding earth c. gravitational force of sun and other planets D. mass of the earth | 11 |

842 | A sphere of mass ( m ) and radius ( r ) is projected in a gravity free space with speed ( v ). If coefficient of viscosity is ( frac{1}{6 pi} ) then the distance travelled by the body before it stops is A ( cdot frac{m V}{2 r} ) B. ( frac{2 m V}{r} ) ( c cdot frac{m V}{r} ) D. none of these | 11 |

843 | If ( A ) denotes the area of free surface of a liquid and ( h ) the depth of an orifice of area of cross-section ( a ), below the liquid surface, then find the velocity ( v ) of flow through the orifice. | 11 |

844 | The viscous force acting on a body falling under gravity in a viscous fluid will be A ( cdot frac{6 pi V}{eta r} ) в. ( frac{6 pi eta r}{V} ) c. ( 6 pi eta r V ) D. ( frac{r V}{6 pi eta} ) | 11 |

845 | A metal sphere of diameter ( 7 mathrm{cm} ) falls through a liquid of coefficient of viscosity ( 0.8 P a . s . ) When its velocity is ( 20 c m cdot s^{-1} ) the viscous force acting on it is nearly ( -cdots-N ) A . 0.11 B. 0.22 ( c .0 .3 ) D. 0.01 | 11 |

846 | A vessel contain ( 2 mathrm{kg} ) water contained in the vessel. What force liquid will exert on the base of the vessel? A. 20 B. 30 N c. zero D. 10 N | 11 |

847 | It is difficult to cut cloth using a pair of scissors with blunt blades. Explain. | 11 |

848 | How much force should be applied on an area of ( 10^{-4} m^{2} ) to get a pressure of ( mathbf{1 5} boldsymbol{P} boldsymbol{a} ? ) | 11 |

849 | A cylinder is filled with non-viscous liquid of density d to a height ( h_{0} ) and ( a ) hole is made at a height ( h_{1} ) from the bottom of the cylinder. The velocity of the liquid issuing out of the hole is: в. ( sqrt{2 gleft(h_{0}-h_{1}right)} ) c. ( sqrt{d g h_{1}} ) D. ( sqrt{d g h_{0}} ) | 11 |

850 | A rough ball is thrown such that it rotates clockwise about a horizontal axis and simultaneously moves right in viscous air as shown. The force on the ball due to magnus effect acts A. Upwards B. Downwards c. Towards left D. Towards right | 11 |

851 | A steel ball of mass ( m ) falls in a viscous liquid with terminal velocity ( v, ) then the steel ball of mass ( 8 m ) will fall in the same liquid with terminal velocity: ( A ) B. ( 4 v ) ( c cdot 8 v ) D. ( 16 sqrt{2} v ) | 11 |

852 | What is magnus effect? | 11 |

853 | In a steady incompressible flow of a İiquid. A. The speed does not change if the area of cross-section changes B. The speed increases if the area of cross-section increases C. The speed decreases if the area of cross-section increases D. Bubbles are produced when the area of the crosssection increases | 11 |

854 | At sea level, the atmospheric pressure is ( 1.04 times 10^{5} ) Pa. Assuming ( g= ) ( 10 m s^{-2} ) and density of air to be uniform and equal to ( 1.3 k g m^{-3}, ) find the height of the atmosphere ( A cdot 8000 mathrm{km} ) B. 8000 ( mathrm{mm} ) c. ( 8000 mathrm{cm} ) D. 8000 ( mathrm{m} ) | 11 |

855 | Hydraulic press is based upon:- A. Archimede’s principle B. Bernoulli’s theorem c. Pascal’s law D. Reynold’s number | 11 |

856 | The minimum horizontal acceleration of the container, so that the pressure at point ( A ) of the container becomes atmospheric is (the tank is of sufficient height) ? ( 4 frac{2}{3} g ) B. ( frac{4}{3} g ) ( c cdot underline{4}_{0} ) 59 D. ( frac{3}{-g} ) | 11 |

857 | Water is flowing through a pipe of uniform cross-section under constant pressure. At some place the pipe becomes narrow, the pressure of water at this place: A. increases B. decreases c. remains unchanged D. depends on several factors | 11 |

858 | toppr ( E ) Q Type your question that applies a force ( boldsymbol{F}=-boldsymbol{k v}, ) where ( ^{prime} boldsymbol{k}^{prime} ) is a constant, on the body? (Graphs are schematic and not drawn to scale) ( A ) B. ( c ) ( D ) | 11 |

859 | State True or False. Pressure at a point in a liquid is inversely proportional to the height of the liquid column. A. True B. False | 11 |

860 | ( 0.003 m ) is dropped into a tube containing a viscous fluid filled up to the ( 0 mathrm{cm} ) mark as shown in the figure. Viscosity of the fluid ( =1.2160 N . m^{-2} ) and its density ( rho_{L}=rho / 2= ) ( 1260 k g . m^{-3} . ) Assume the ball reaches terminal speed by the ( 10 c m ) mark. Find the time taken (in sec) by the ball to traverse the distance between the ( 10 mathrm{cm} ) and ( 20 c m ) mark. ( ( g ) =acceleration due to gravity ( =10 m s^{-2} ) | 11 |

861 | A drop of liquid having radius ( 2 mathrm{mm} ) has a terminal velocity ( 20 mathrm{cms}^{-1} ), the terminal velocity of a drop 1mm radius will be: A. ( 40 mathrm{cms}^{-1} ) B. ( 20 mathrm{cms}^{-1} ) c. ( 10 mathrm{cms}^{-1} ) ( D cdot 5 mathrm{cms}^{-1} ) | 11 |

862 | In a hydraulic lift, used at a service station the radius of the large and small piston are in the ratio of ( 20: 1 . ) What weight placed on the small piston will be sufficient to lift a car of mass ( 1500 k g ? ) A. ( 3.75 k g ) в. ( 37.5 k g ) c. ( 7.5 k g ) D. ( 75 k g ) | 11 |

863 | In the picture shown below, the man is A. Applying no force on the stool B. Applying pressure on the stool C. Applying force on the stool D. Both ( (B) &(C) ) | 11 |

864 | A film of water is formed between two straight parallel wires of length ( 10 mathrm{cm} ) each separated by ( 0.5 mathrm{cm} ). If their separation is increased by ( 1 m m ) while still maintaining their parallelism how much work will have to be done of water (Surface tension of water ( = ) ( left.7.2 times 10^{-2} N / mright) ) A ( cdot 7.22 times 10^{-6} mathrm{J} ) В. ( 1.44 times 10^{-5} mathrm{J} ) c. ( 2.88 times 10^{-5} mathrm{J} ) D. ( 5.76 times 10^{-5} J ) | 11 |

865 | Water flows through two identical tubes ( A ) and ( B . A ) volume ( V_{0} ) of water passes through the tube ( A ) and ( 2 V_{0} ) through ( B ) in a given time. Which of the following may be correct? This question has multiple correct options A. Flow in both the tubes are steady B. Flow in both the tubes are turbulent c. Flow is steady in ( A ) but turbulent in ( B ) D. Flow is steady in ( B ) but turbulent in ( A ) | 11 |

866 | Assertion On moon barometer height will be six times compared to the height or earth. Reason Value of ( g ) on moon’s surface is ( 1 / 10 ) the | 11 |

867 | A solid metallic sphere of radius ( r ) is allowed to fall freely through air. If the frictional resistance due to air is proportional to the cross-sectional area and to the square of the velocity, then the terminal velocity of the sphere is proportional to which of the following? A ( cdot r^{2} ) B. ( c cdot r^{3 / 2} ) D. ( r^{1 / 2} ) | 11 |

868 | The amount of work performed to break a spherical drop of radius 1 mm into millies of equal radius is ( left(boldsymbol{T}=mathbf{7 . 2} times mathbf{1 0}^{-mathbf{2}} mathbf{N m}^{-mathbf{1}}right) ) | 11 |

869 | The manometer shown below is used to measure the difference between water level of the two tanks. Calculate this difference for the conditions indicated ( A cdot 4 mathrm{cm} ) B. ( 40 mathrm{cm} ) ( c .100 mathrm{cm} ) D. ( 12 mathrm{cm} ) | 11 |

870 | Bernoulli’s equation is conservation of: A. Energy B. Momentum c. Angular momentum D. Mass | 11 |

871 | Two vessels ( A ) and ( B ) of different shapes have the same base area and are filled with water up to the same height h (see figure). The force exerted by water on the base is ( F_{A} ) for vessel ( A ) and ( F_{B} ) for vessel B. The respective weights of the water filled in vessels are ( W_{A} ) and ( W_{B} ) Then ( mathbf{A} cdot F_{A}>F_{B} ; W_{A}>W_{B} ) B . ( F_{A}=F_{B} ; W_{A}>W_{B} ) C ( cdot F_{A}=F_{B} ; W_{A}F_{B} ; W_{A}=W_{B} ) | 11 |

872 | The molecules of a given mass of a gas have root mean square speeds of ( 100 mathrm{m} ) ( s^{-1} ) at ( 27^{circ} C ) and 1 atmospheric pressure. The root mean square speeds of the molecules of the gas at ( 127^{circ} mathrm{C} ) and 2 atmospheric pressure is? A ( cdot frac{20}{sqrt{3}} ) в. ( frac{100}{sqrt{3}} ) c. ( frac{400}{3} ) D. ( frac{200}{3} ) | 11 |

873 | The volume of a liquid flowing per second out of an orifice at the bottom of a tank does not depend upon A. the height of the liquid above the orifice B. the acceleration due to gravity c. the density of the liquid D. the area of the orifice | 11 |

874 | At what velocity does water emerge from an orifice in a tank in which gauge pressure is ( 3 times 10^{5} N m^{-2} ) before the flow starts? (Take the density of water ( =1000 mathrm{kg} mathrm{m}^{-3} ) .) ( mathbf{A} cdot 24.5 m s^{-1} ) B . ( 14.5 mathrm{ms}^{-1} ) c. ( 34.5 m s^{-1} ) D. ( 44.5 mathrm{ms}^{-1} ) | 11 |

875 | Find the value of ( frac{boldsymbol{a}+boldsymbol{b}-boldsymbol{c}}{mathbf{2} boldsymbol{a}} ) when ( boldsymbol{a}= ) ( mathbf{5}, boldsymbol{b}=mathbf{7} ) and ( boldsymbol{c}=mathbf{2} ) | 11 |

876 | Spherical balls of radius R are falling in a viscous fluid of velocity v. The retarding viscous force acting on the spherical ball is A. directly proportional to R but inversely proportional to ( v ) B. directly proportional to both radius R and velocity v. c. inversely proportional to both radius R and velocity v D. inversely proportional to R but directly proportional to velocity v | 11 |

877 | A gas at a pressure of 325 torr exerts a force of Non an area of ( 5.5 m^{2} ) | 11 |

878 | The piston is taken completely out of the cylinder. The hole at the top is sealed. A water tank is brought below the cylinder and put in a position, so that the water surface in the tank is at the same level as the top of the cylinder as shown in the figure. The density of the water is ( rho ) n equilibrium, the height H of the water column in the cylinder satisfies A ( cdot rho gleft(L_{0}-Hright)^{2}+P_{0}left(L_{0}-Hright)+L_{0} P_{0}=0 ) B ( cdot rho gleft(L_{0}-Hright)^{2}-P_{0}left(L_{0}-Hright)-L_{0} P_{0}=0 ) ( mathbf{c} cdot rho gleft(L_{0}-Hright)^{2}+P_{0}left(L_{0}-Hright)-L_{0} P_{0}=0 ) D ( cdot rho gleft(L_{0}-Hright)^{2}-P_{0}left(L_{0}-Hright)+L_{0} P_{0}=0 ) | 11 |

879 | Pressure cannot be measured in: ( mathbf{A} cdot mathbf{N} m^{-2} ) B. bar c. Ра D. kg wt tt | 11 |

880 | If the terminal speed of a sphere of gold (density ( left.=19.5 k g / m^{3}right) ) is ( 0.2 m / s ) in a viscous liquid (density ( left.=1.5 k g / m^{3}right) ) find the terminal speed of a sphere of silver (density ( =10.5 k g / m^{3} ) ) of the same size in the same liquid A. ( 0.4 m / s ) в. ( 0.133 mathrm{m} / mathrm{s} ) c. ( 0.1 m / s ) D. ( 0.2 m / s ) | 11 |

881 | For the system shown in the figure, the cylinder on the left at ( L ) has a mass of ( 600 k g ) and a cross sectional area of ( 800 mathrm{cm}^{2} . ) The piston on the right, at ( S ) has a cross sectional area ( 25 mathrm{cm}^{2} ) and negligible weight. If the apparatus is filled with oil. ( left(rho=mathbf{7} mathbf{5} g boldsymbol{m} / mathbf{c m}^{3}right) ) Find the force ( boldsymbol{F} ) required to hold the system in equilibrium. | 11 |

882 | Water proofing agent changes the angle of contact: A. from an obtuse to acute value B. from an acute to obtuse value C – from obtuse to ( frac{pi}{2} ) D. from acute to ( frac{pi}{2} ) | 11 |

883 | An ideal fluid flown through a pipe of circular cross-section made of two sections with diameters 25 an and 3.75 ( mathrm{cm} . ) The ratio of the velocities in the two pipes is A .9: 4 B. 3:2 c. ( sqrt{3}: sqrt{2} ) D. ( sqrt{2}: sqrt{3} ) | 11 |

884 | Water is flowing steadily through a horizontal tube of non-uniform cross- section.If the pressure of water is ( 4 times ) ( 10^{4} N / m m^{2} ) at a point when cross section is ( 0.02 m^{2} ) velocity of flow is ( 2 mathrm{m} / mathrm{s} ) what is pressure at a point where ( operatorname{cross} ) section reduces to ( 0.01 m^{2} ) A ( cdot 1.4 times 10^{4} N m^{2} ) B. ( 3.4 times 10^{4} N m^{2} ) c. ( 2.4 times 10^{-4} N m^{2} ) D. none of these | 11 |

885 | It is better to use a sharp tipped nail than a blunt nail because: A. the tip with the smallest area will produce a higher pressure when a small force is applied B. a sharp tipped nail needs a larger force to drive it into wooden surface C. the sharp tip saves cost as less raw materials are required to make such nails D. the sharp tip has a spiralling effect when the nail is hit on the head | 11 |

886 | Pascal is the SI unit of A . weight B. thrust c. pressure D. temperaure | 11 |

887 | toppr Q Type your question ( 600 k g / m^{3} ) and ( rho_{2}=1200 k g / m^{3} ) as shown in the figure. A small hole having cross-sectional area ( 5 c m^{2} ) is made in right side vertical wall as shown. Take atmospheric pressure as ( boldsymbol{p}_{0}=mathbf{1 0}^{5} boldsymbol{N} / boldsymbol{m}^{2}, boldsymbol{g}= ) ( 9.8 m / s^{2} . ) For this situation, mark out the correct statements(s). (Take cross- sectional area of the cylindrical vessel as ( 1000 mathrm{cm}^{2} ). Neglect the mass of the vessel) This question has multiple correct options A. If the surface on which the vessel is placed is smooth, then a rightward force of magnitude 2N is to be applied on the vessel to maintain its static equilibrium. B. If the surface on which the vessel is placed is smooth then no force is needed to maintain its static equilibrium C. If the surface on which the vessel is placed is rough ( (mu=0.04) ), then the minimum force (horizontal) needed to be applied on the vessel to maintains its static equilibrium is zero D. If the surface on which the vessel is placed is rough ( mu=0.04 ), then the maximum force (horizontal) needed to be applied on the vessel to maintain its static equilibrium is 19.8 N | 11 |

888 | represent the motion of a raindrop? ( A ) B. ( c ) ( D ) | 11 |

889 | Some water in a tin with lid which can be tightly screwed on its open mouth. The water is heated to boil and the steam from boiling water is allowed to escape for sometime. The open mouth is sealed with air-tight cap and the can is cooled under tap-water. The sides of the can are crushed and get deformed. | 11 |

890 | Why two streamlines never intersect? | 11 |

891 | For a liquid which is rising in a capillary, the angle of contact is A. obtuse B. Acute ( c cdot 180^{circ} ) D. ( 90^{circ} ) | 11 |

892 | The reading of a manometer fitted to a closed tap is ( 3.5 times 10^{5} N m^{2} . ) If the valve is opened the reading of the manometer falls to ( 3 times 10^{5} N m^{2} . ) The velocity of water is : A ( cdot 0.1 m s^{-} ) B. ( 1 m s^{-1} ) ( mathrm{c} cdot 10 mathrm{ms}^{-1} ) D. ( 100 mathrm{ms}^{-1} ) | 11 |

893 | Assertion Small liquid drops assume spherical shape. Reason Due to surface tension liquid drops tend to have minimum surface area. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

894 | The diagram below shows a hydraulic lift. A force is applied at side 1 and an output force is generated at side 2 Which of the following is true.? A. the force at the side lis greater than the force at side 2 B. The force at the side lis less than the force at side 2 . C. The pressure at side 1 is greater than the force at side 2 D. The pressure at side 1 is less than the pressure at side 2 | 11 |

895 | A tank has a small hole at its bottom of area of cross-section a. Liquid is being poured in the tank at the rate ( V m^{3} / s ) the maximum level of liquid in the container will be(Area of ( operatorname{tank} A) ) A. ( frac{V}{g a A} ) в. ( frac{V^{2}}{2 g a^{2}} ) c. ( frac{V^{2}}{g A a} ) D. ( frac{V^{2}}{2 g a A} ) | 11 |

896 | The tube in simple barometer is filled with mercury. A. Half B. Three-fourth c. completely D. Two-third | 11 |

897 | two equal drops of water each of radius ( boldsymbol{r} ) are falling through air with a steady velocity ( 8 c m / s ). the two drops combine to form a big drop. The terminal velocity of big drop will be: A ( cdot quad_{8(2)} frac{2}{3} mathrm{cm} / mathrm{s} ) в. ( quad frac{2}{3} mathrm{cm} ) c. ( quad 4(2)^{frac{2}{3}} c m ) D. 32 cm / ( s ) | 11 |

898 | Why is it easy to walk on sand with flat shoes, then with high heel shoes? | 11 |

899 | The velocity distribution curve of the stream line flow of a liquid advancing through a capillary tube is: A. Circular B. eliptical c. parabolic D. a straight line | 11 |

900 | Two soap bubbles of radii ( a ) and ( b ) combine under isothermal conditions to form a single bubble of radius ( c ) without any leakage of air. If ( boldsymbol{P}_{mathbf{0}}= ) atmospheric pressure and ( boldsymbol{T}= ) surface tension of soap solution, show that ( boldsymbol{P}_{0}=frac{boldsymbol{4} boldsymbol{T}left(boldsymbol{a}^{2}+boldsymbol{b}^{2}-boldsymbol{c}^{2}right)}{boldsymbol{c}^{3}-boldsymbol{a}^{3}-boldsymbol{b}^{3}} ) | 11 |

901 | When one end of the capillary is dipped in water, the height of water column is ( h^{prime} . ) The upward force of 105 dyne due to surface tension balanced by the force due to the weight of water column. The inner circumference of the capillary is (Surface tension of water ( =mathbf{7} times ) ( mathbf{1 0}^{-mathbf{2}} mathbf{N} / boldsymbol{m} ) A ( .1 .5 mathrm{cm} ) B. 2 cm ( c .2 .5 mathrm{cm} ) D. 3 ст | 11 |

902 | Assertion Pascal’s law is the working principle of hydraulic lift. Reason Pressure ( =frac{text { Thrust }}{text { Area }} ) A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct | 11 |

903 | When air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? | 11 |

904 | Water barometer is possible provided barometer tube is ( _{–}—m ) long. ( mathbf{A} cdot mathbf{1} ) B. 3 ( c .5 ) D. 11 | 11 |

905 | The pressure exerted by a mixture of atmospheric gases on its surroundings and on the surface of the earth is known as | 11 |

906 | Water is filled upto same height in two identical closed containers ( A ) and ( B ). Container ( A ) has vacuum over the water while container ( B ) has air over the water. At the same depth of both the containers there is an opening on which identical balloons ( A ) and ( B ) are attached as shown in the figure given below. Then A. Balloon – ( A ) will bulge more than balloon – ( B ) B. Balloon – ( B ) will bulge more than balloon – ( A ) c. Both the balloons will bulge equally D. None of the balloons will bulge | 11 |

907 | The velocity of efflux of a liquid through an orifice in the bottom of the tank does not depend upon: A. size of orifice B. height of liquid c. acceleration due to gravity D. density of liquid | 11 |

908 | Match column I with column II: List List II Magnus energy Pascal’s Law Loss of Archimedes’ Energy Pressure is same at same ( quad ) Viscous force level in a liquid Lifting of Hydraulic Machines ( mathbf{A} cdot mathbf{B} rightarrow 4, mathbf{C} rightarrow 2, D rightarrow 1, A rightarrow 1 ) B. ( A rightarrow 4, B rightarrow 3, C rightarrow 1, D rightarrow 1 ) C. ( mathrm{C} rightarrow 4, mathrm{A} rightarrow 2, mathrm{B} rightarrow 1, mathrm{D} rightarrow 1 ) D . ( D rightarrow 4, A rightarrow 2, B rightarrow 1, C rightarrow 1 ) | 11 |

909 | In a test experiment on a model aeroplane in a wind tunnel, the flow speeds on the upper and lower surfaces of the wing are ( 70 m s^{-1} ) and ( 63 m s^{-1} ) respectively. What is the lift on the wing if its area is ( 2.5 mathrm{m}^{2} ) ? Take the density of air to be ( 1.3 mathrm{kgm}^{-3} ) | 11 |

910 | The figure shows two immiscible liquids (Kerosens and water). Kerosene has density ( rho_{2} ) and water has density ( rho_{1} ) Find the velocity of water flow. | 11 |

911 | Assertion Small liquid drops assume a spherical shape. Reason Due to surface tension liquid drops tend to have minimum surface area. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct | 11 |

912 | Let air be at rest at the front edge of a wing and air passing over the surface of wing at a fast speed v. If density of air is ( rho, ) the highest value for ( v ) in streamline flow when atmospheric pressure is ( boldsymbol{P}_{text {atmosphere}} ) is: ( ^{mathrm{A}}left[frac{P_{text {atnosphere}}}{rho}right]^{frac{1}{2}} ) ( left[frac{P_{a t m o s p h e r e}}{rho}right]^{2} ) ( ^{mathrm{c}}left[frac{P_{text {atmosphere}}}{rho}right]^{frac{1}{2}} ) D. ( frac{P_{text {atmosphere }}}{rho} ) | 11 |

913 | Two soap bubbles of radius ( r_{1}=r ) and ( r_{2}=2 r ) coalesce to form a double as shown, then angle ( p j i, ) is equal to ( A cdot 60^{circ} ) В ( cdot 90^{circ} ) ( c cdot 120^{circ} ) D. It depends on surface tension of soap solution | 11 |

914 | The hydro static pressure P of a liquid column depends on density d of the liquid column h and acceleration due to gravity g. Using dimensional analysis suggest a formula for hydrodynamic pressure. | 11 |

915 | A tank 5 m high is half filled with water and then is filled to the top with oil of density ( 0.85 g c m^{-3} . ) The pressure at the bottom of the tank, due to these liquids is A ( cdot 1.85 ) g dyne ( c m^{-2} ) B. 89.25 g dyne ( mathrm{cm}^{-2} ) c. 462.5 g dyne ( c m^{-2} ) D. 500 g dyne ( c m^{-2} ) | 11 |

916 | Water is flowing in streamline motion through a horizontal tube. The pressure at a point in the tube is ( boldsymbol{P} ) where the velocity of flow is ( v . ) At another point, where the pressure is ( P / 2 ), the velocity of flow is: [Density of water ( =rho ) A ( cdot sqrt{v^{2}+frac{P}{rho}} ) B. ( sqrt{v^{2}-frac{P}{rho}} ) c. ( sqrt{v^{2}+frac{2 P}{rho}} ) D. ( sqrt{v^{2}-frac{2 P}{rho}} ) | 11 |

917 | Two soap bubbles of different radii are in contact with each other. Then A. air follows from the larger bubble into smaller bubble till both bubbles acquire same size B. air follows from the smaller bubble into larger bubble and the larger bubble grows in size of the smaller bubble C. air does not flow but the sizes of the bubbles changes D. sizes of the bubbles remain unchanged | 11 |

918 | Fill in the blanks. A horizontal pipeline carries water in streamline flow. At a point along the pipe, where the cross-sectional area is ( 10 mathrm{cm}^{2}, ) the water velocity is ( 1 mathrm{ms}^{-1} ) and the pressure is 2000 Pa. The pressure of water at another point where the cross-sectional area is ( 5 mathrm{cm}^{2} ) is ( left.10^{3} k g m^{-3}right) ) | 11 |

919 | A girl stands on a box having ( 60 mathrm{cm} ) length, ( 40 mathrm{cm} ) breadth and ( 20 mathrm{cm} ) width in three ways. The pressure exerted by the box will be: A. maximum when length and breadth form the base B. maximum when breadth and width form the base c. maximum when width and length form the base D. the same in all the above three cases | 11 |

920 | Show that the pressure in a fluid at rest in same at all points if we ignore gravity. | 11 |

921 | A cylindrical vessel of base radius ( mathrm{R} ) and height H has a narrow neck of height h and radius ( r ) at one end(see figure). The vessel is filled with water(density ( rho_{w} ) ) and its neck is filled with immiscible oil (density ( rho_{o} ) ). Then the pressure at: A ( cdot ) M is ( gleft(h rho_{o}+H rho_{w}right) ) B. ( quad ) N is ( gleft(h rho_{o}+H rho_{w}right) frac{r^{2}}{R^{2}} ) c. ( mathrm{M} ) is ( g H rho_{w} ) D. ( mathrm{N} ) is ( g frac{rho_{w} H R^{2}+rho_{o} h r^{2}}{R^{2}+r^{2}} ) | 11 |

922 | The Sl unit of pressure gradient is A. ( N m^{-2} ) в. ( N m ) ( mathbf{c} cdot N m^{-1} ) D. ( N m^{-3} ) | 11 |

923 | The terminal velocity of a rain drop is ( 30 c m / s, ) If the viscosity of air is ( 1.8 times ) ( 10^{-5} N s m^{-2}, ) The radius of rain drop is: A. ( 0.01 m m ) B. ( 0.5 m m ) c. ( 0.05 mathrm{mm} ) D. ( 1 mathrm{mm} ) | 11 |

924 | A tank with a small hole at the bottom has been filled with water and kerosene (specific gravity 0.8 ). The height of water is ( 3 m ) and that of kerosene ( 2 m ) When the hole opened the velocity of fluid coming out from it is nearly: (take ( g=10 m s^{-2} ) and density of water ( left.10^{3} k g m^{-3}right) ) A ( cdot 9.6 mathrm{ms}^{-1} ) B . ( 8.5 mathrm{ms}^{-1} ) ( mathbf{c} cdot 7.6 m s^{-1} ) D. ( 10.7 mathrm{ms}^{-1} ) | 11 |

925 | The radii of the press plunger and the pump plunger are in the ratio ( 30: 4 . ) If an effort of 32 kgf acts on the pump plunger. Find the maximum effort the press plunger can overcome. A. ( 1600 mathrm{kgf} ) B. 1700 kgf c. ( 1800 mathrm{kgf} ) D. 1900 kgf | 11 |

926 | A small metal ball of diameter 4 mm and density ( 10.5 g / c m^{3} ) in dropped in glycerine of density ( 1.5 g / c m^{3} . ) The ball attains a terminal velocity of ( 8 mathrm{cm} / mathrm{sec} ) The coefficient of viscosity of glycerine is A. 4.9 poise B. 9.8 poise c. 98 poise D. 980 poise | 11 |

927 | Discharge of centrifugal pump is A. inversely proportional to diameter of its impeller B. inversely proportional to diameter ( ^{2} ) of its impeller C. directly proportional to (diameter)2 of its impeller D. directly proportional to diameter of its impeller | 11 |

928 | What should be the ratio of area of cross section of the master cylinder and wheel cylinder of a hydraulic brake so that a force of ( 15 N ) can be obtained at each of its brake shoe by exerting a force of ( 0.5 N ) on the pedal? ( mathbf{A} cdot 1: 60 ) B. 1: 30 c. 1: 15 D. 1: 45 | 11 |

929 | Which of the following works on Pascal’s law? A. Sprayer B. Venturimeter c. Hydraulic liftt D. Aneroid barometer | 11 |

930 | The total pressure at the bottom of the container is ( ^{A} cdotleft(frac{H}{2}+frac{L}{4}right) d g ) B. ( P_{0}+left(frac{3 H}{2}+frac{L}{2}right) d g ) ( ^{mathrm{c}} P_{0}+left(H+frac{L}{4}right) d g ) D ( P_{0}+left(frac{3 H}{2}+frac{L}{4}right) d g ) | 11 |

931 | An ideal fluid is: A. similar to a perfect gas. B. non-viscous and incompressible. C . one which satisfies the continuity equation. D. one which obeys Newton’s formula for viscous drag. | 11 |

932 | What does hydraulic jacks use to move oil through two cylinders? A. Pipe B. Wheel c. Pump Plunger D. Tube | 11 |

933 | Which of the following is different from the rest? A. bar B. torr c. kg-wt D. Pa | 11 |

934 | As the height of the liquid column increases, the pressure exerted by a liquid at the lowest point A . decreases B. depends on the nature of liquid c. increases D. none of the aove | 11 |

935 | How much pressure will a girl of ( 50 mathrm{kg} ) wearing heels with an area of cross section ( 1 c m^{2} ) exert on the ground? A ( .150 times 10^{4} P a ) В. ( 250 times 10^{4} P a ) ( mathbf{c} .350 times 10^{4} P a ) D. ( 450 times 10^{4} P a ) | 11 |

936 | A rain drop of radius 0.3 mm has a terminal velocity in air ( 1 mathrm{m} / mathrm{s} ). The viscosity of air is ( 18 times 10^{-5} ) poise. The viscous force on it is A ( cdot 101.73 times 10^{-4} d y n e ) B . ( 101.73 times 10^{-5} ) dyne c. ( 16.95 times 10^{-5} ) dyne D. ( 16.95 times 10^{-4} ) dyne | 11 |

937 | time taken to empty the tank to half its original value. ( left(boldsymbol{g}=mathbf{1 0 m} / boldsymbol{s}^{2}right) ) | 11 |

938 | An air tight container having a lid with negligible mass and an area of ( 8 mathrm{cm}^{2} ) is partially evacuated. If a ( 48 mathrm{N} ) force is required to pull the lid off the container and the atmospheric pressure is ( 1.0 times 10^{5} ) Pa, the pressure in the container before it is opened must be: A . ( 0.6 a t m ) B. ( 0.5 a t m ) c. ( 0.4 a t m ) D. ( 0.2 a t m ) | 11 |

939 | ( 1 mathrm{Nm}^{-2} ) is equal to : A ( .1 P a ) B. ( 0.1 P a ) c. ( 0.01 P a ) D. ( 10 P a ) | 11 |

940 | Bernoulli’s principle is based on the law of conservation of A. Angular momentum B. Linear momentum c. Mass D. Energy | 11 |

941 | Atmospheric pressure decreases with in height. A. increase B. decrease c. Both (A) and (B) D. None | 11 |

942 | Water is flowing in a streamline motion through a tube with its axis horizontal. Consider two points ( A ) and ( B ) in the tube at the same horizontal level. This question has multiple correct options A. The pressures at ( A ) and ( B ) are equal for any shape of the tube B. The pressures are never equal C. The pressures are equal if tube has a uniform crosssection. D. The pressures may be equal even if the tube has a nonuniform cross-section. | 11 |

943 | An open vessel containing the liquid upto a height of ( 15 mathrm{m} ). A small hole is made at height of ( 10 mathrm{m} ) from the base of the vessel, then the initial velocity of efflux is ( left(boldsymbol{g}=mathbf{1 0 m} / boldsymbol{s}^{2}right) ) ( A cdot 1 mathrm{m} / mathrm{s} ) B . ( 10 sqrt{2} mathrm{m} / mathrm{s} ) ( c cdot 5 m / s ) D. ( 10 mathrm{m} / mathrm{s} ) | 11 |

944 | Standard atmospheric pressure is equivalent to pressure given by A. 76 cm of mercury B. 7.6 cm of mercury c. ( 760 mathrm{cm} ) of mercury D. none of these | 11 |

945 | Two soap bubbles of radii ( x ) and ( y ) coalesce to constitute a bubble of radius ( z . ) Then ( z ) is equal to: ( mathbf{A} cdot sqrt{x^{2}+y^{2}} ) B. ( sqrt{x+y} ) c. ( x+y ) ( frac{x+y}{2} ) | 11 |

946 | When two capillary tubes of different diameters are dipped vertically, the rise of the liquid is : A. same in both the tubes B. more in tube of larger diameter c. less in the tube of smaller diameter D. more in the tube of smaller diameter | 11 |

947 | The ratio of height of a mercury column in a barometer at a place to the height of the liquid column at the same place are ( 1: 4 . ) Find the density of the liquid | 11 |

948 | A fixed container is filled with a liquid of density ( rho ) up to a height ( 4 m . ) A horizontal slit of small width but of area ( =0.5 mathrm{m}^{2} ) is made a height of ( 2 m ) from bottom. The speed of top surface of the water level is Area of top surface of container is ( 4 m^{2} ) and ( g=10 m / s^{2} ) ). A ( cdot sqrt{frac{20}{63}} mathrm{m} / mathrm{sec} ) в. ( sqrt{frac{40}{63}} ) m/sec c. ( sqrt{frac{80}{63}} mathrm{m} / mathrm{sec} ) D. None of these | 11 |

949 | When an eraser presses on a paper with a force of ( 1 mathrm{N} ) the paper experiences a pressure of 10,000 Pa Find the area of contact between the eraser and the paper A ( cdot 1 c m^{3} ) в. ( 10 mathrm{cm}^{2} ) ( c cdot 1 c m^{6} ) D. ( 1 c m^{2} ) | 11 |

950 | If the force on the surface is doubled and the area is reduced to half, pressure will: A. Become 2 times B. Become 3 times c. Become 4 times D. Remain unchanged | 11 |

951 | With the increasing altitude, gauge pressure: A. increases B. decreases c. remains same D. becomes zero | 11 |

952 | A force exerts a pressure of ( 45 N / m^{2} ) when it acts on an area of ( 10 m^{2} ) Calculate the total force A . ( 4.5 N ) B. ( 450 N ) ( c .45 N ) D ( . .45 N ) | 11 |

953 | A steel ball of mass ‘m’ falls in a viscous liquid with a terminal velocity ( 4 m s^{-1} .1 ) another steel ball of mass ( 8 mathrm{m} ) falls through the same liquid then its terminal velocity is ( mathbf{A} cdot 4 m s^{-1} ) B. ( 8 m s^{-1} ) ( mathrm{c} cdot 16 mathrm{ms}^{-1} ) D. ( 2 m s^{-1} ) | 11 |

954 | Water is flowing on a horizontal fixed surface, such that its flow velocity varies with y (vertical direction) as if ( boldsymbol{v}=boldsymbol{k}left(frac{2 y^{2}}{a^{2}}-frac{y^{3}}{a^{3}}right) ) If coefficient of viscosity for water is ( eta, ) what will be shear stress between layers of water at ( y=a ) | 11 |

955 | How is pressure related to force? A. Directly proportional B. Inversely proportional C. Either A or B D. Neither A nor B | 11 |

956 | The weight of the body is A. ( V rho g ) в. ( frac{V}{rho g} ) c. ( frac{V g}{rho} ) D. None of the above | 11 |

957 | Why it is easy to cut with a sharp knife than a blunt? | 11 |

958 | Assertion In the siphon shown in figure, pressure at ( P ) is equal to atmospheric pressure. Reason Pressure at ( Q ) is atmospheric pressure | 11 |

959 | In a laminar flow at a given point the magnitude and direction of the velocity of the fluid: A. both are constant B. magnitude is only constant c. direction is only constant D. both are not constant | 11 |

960 | The correct shape of a water drop enclosed between two glass plates in gravity free space will be: ( A ) в. ( c ) D. | 11 |

961 | There are two identical small holes on the opposite sides of a tank containing liquid. The tank is open at the top. The difference in height between the two holes is ( h ). As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to: A ( cdot h^{1 / 2} ) B. ( c cdot h^{3 / 2} ) ( D cdot h^{2} ) | 11 |

962 | Two spheres of the same material, but of radii ( R ) and ( 3 R ) are allowed to fall vertically downwards through a liquid of density ( rho . ) The ratio of their terminal velocities is: A .1: 3 B. 1: 6 c. 1: 9 D. 1: 1 | 11 |

963 | The working principle of a ball point pen is: A. Bernoullis theorem B. Surface tension c. Gravity D. Viscosity | 11 |

964 | A small steel ball falls through a syrup at a constant speed of ( 10 mathrm{m} / mathrm{s} ). If the steel ball is pulled upwards with a force equal to twice its effective weight, how fast will it move upwards? ( A cdot 10 mathrm{cm} / mathrm{s} ) B. 20 cm/s ( c cdot 5 mathrm{cm} / mathrm{s} ) D. ( -5 mathrm{cm} / mathrm{s} ) | 11 |

965 | When a big drop of water is formed from ( n ) small drops of water, the energy loss is ( 3 E, ) where ( E ) is the energy of the bigger drop. If ( R ) is the radius of the bigger drop and ( r ) is the radius of the smaller drop, then number of smaller drops ( (n) ) is: A ( cdot frac{4 R}{r^{2}} ) в. ( frac{4 R}{r} ) c. ( frac{2 R^{2}}{r} ) D. ( frac{4 R^{2}}{r^{2}} ) | 11 |

966 | A rubber balloons of negligible mass is filled with ( 500 g ) of water. Its weight in water will be: A ( .250 g ) в. ( 500 g ) c. zero D. ( 100 g ) | 11 |

967 | When a force acts on a large area, the pressure it exerts is more. A. True B. False c. Ambiguous D. Data insufficient | 11 |

968 | A ball is dropped into coaltar. Its velocity-time curve will be ( A ) ( B ) ( mathbf{c} ) D. | 11 |

969 | A hydraulic press has a ram of ( 15 mathrm{cm} ) diameter and plunger is ( 1.5 mathrm{cm} . ) It is required to lift a weight of 1 tonne. The force required on plunger is A. ( 10 mathrm{kg} ) B. ( 100 mathrm{kg} ) c. ( 1000 mathrm{kg} ) ( D cdot 1 mathrm{kg} ) | 11 |

970 | What is a pressure on the smaller piston if both the pistons are at same horizontal level? (Take ( left.boldsymbol{g}=mathbf{1 0 m} boldsymbol{s}^{-2}right) ) ( A cdot 3 P a ) В. ( 4 times 10^{3} P a ) ( mathbf{c} cdot 6 times 10^{5} P a ) D. 1000 Pa | 11 |

971 | Rain drops, each of radius ( r, ) are falling through air with steady velocity v. If eight drops coalesce to form a big drop, then the big drop so formed will fall with velocity? | 11 |

972 | A body ( B ) is capable of remaining stationary inside a liquid at the position shown in Fig.4.205 (a). If the whole system in gently placed on smooth inclined plane (Fig.4205 (b)) and is allowed to side down, then ( left(boldsymbol{O}<boldsymbol{theta}<boldsymbol{9 0}^{o}right) ) (a) (b) A. The body will move up (relative to liquid) B. The body will move down (relative to liquid) C. The body will remain stationary (relative to liquid) D. The body will move up for some inclination ( theta ) and will move down for another inclination ( theta ) | 11 |

973 | while travelling by train, when the train passes through the tunnel, why does our ear ache? A. atmospheric pressure B. tunnel pressure c. inner pressure D. none of the above | 11 |

974 | Calculate the vertical height of a mercury column (in ( mathrm{m} ) ) which exerts a pressure of ( 81600 P a . ) (Density of mercury is ( 13.6 g c m^{-3} ) and ( g=10 m ) ( s^{-2} ) | 11 |

975 | Two soap bubbles ( A ) and ( B ) are kept in a closed chamber where the air is maintained at pressure ( 8 N / m^{2} . ) The radii of bubble ( A ) and ( B ) are 2 cm and ( 4 mathrm{cm}, ) respectively. Surface tension of the soap water used to make bubbles is ( 0.04 N / m . ) Find the ratio ( n B / n A ) where ( n A ) and ( n B ) are the number of moles of air in bubbles ( A ) and ( B ) respectively. (Neglect the effect of gravity). | 11 |

976 | The mass of a lead ball is M. It falls down in a viscous liquid with terminal velocity V. The terminal velocity of another lead ball of mass ( 8 mathrm{M} ) in the same liquid will be: A . ( 64 V ) в. ( 4 V ) ( c .8 V ) D. ( V ) | 11 |

977 | A person standing near a train, which is moving with high speed, is pulled towards the train due A. Pressure difference B. Temperature difference c. Gravitational force of the train D. speed of the train | 11 |

978 | There are two identical small holes of area of cross section a on the opposite sides of a tank containing a liquid of density ( rho . ) The difference in height between the holes is ( h ). The tank is resting on a smooth horizontal surface. The horizontal force which will have to be applied on the tank to keep it in equilibrium is: A ( cdot g h rho a ) в. ( frac{2 g h}{rho a} ) c. 2 pagh D. ( frac{rho g}{text { an }} ) | 11 |

979 | liquid is kept on a table in a vacuum. The force exerted by the liquid on the base of the flask is ( W_{1} ). The force exerted by the flask on the table is ( W_{2} ) This question has multiple correct options A ( . W_{1}=W_{2} ) ( mathbf{B} cdot W_{1}>W_{2} ) c. ( W_{1}<W_{2} ) D. The force exerted by the liquid on the walls of the flask is ( left(W_{1}-W_{2}right) ) | 11 |

980 | Two soaps bubbles (surface tension ( boldsymbol{T} ) ) coalesce to form a big bubble under isothermal condition. If in this process the change in volume be ( V ) and the surface area be ( S, ) then the correct relation is ( (P ) is atmospheric pressure): A. ( P V+T S=0 ) в. ( 3 P V+4 T S=0 ) c. ( 3 P V+T S=0 ) D. ( 4 P V+3 T S=0 ) | 11 |

981 | Why do nails have pointed tips? A. It enhances their look. B. It reduces the force required to fix it in the wall. C . It increases the strength. D. It makes it easy to handle. | 11 |

982 | Hydraulic lifts are used to lift the heavy loads primarily because: A. they look good B. they amplify the force applied by a large extent c. they are sturdy D. they have better tensile strength | 11 |

983 | A solid uniform ball of volume ( V ) floats on the interface of two immiscible liquids (see the figure). The specific gravity of the upper liquid is ( rho_{1} ) and that of lower one is ( rho_{2} ) and the specific gravity of ball is ( rholeft(rho_{1}<rho<rho_{2}right) ). The fraction of the volume of the ball in the upper liquid is ( A cdot frac{rho_{2}}{rho_{1}} ) в. c. ( frac{rho-rho_{1}}{rho_{2}-rho_{1}} ) D. ( frac{rho_{1}}{rho_{2}} ) | 11 |

984 | Water is filled to a height ( boldsymbol{H} ) behind ( boldsymbol{a} ) dam of width ( w . ) The resultant force on dam is: A. ( p g w H^{2} ) В ( cdot frac{1}{2} p g w H^{2} ) c. ( 2 p g w H^{2} ) D. ( 4 p g w H^{2} ) | 11 |

985 | Streamline flow is more likely for liquids with A. high density and high viscosity B. low density and low viscosity c. high density and low viscosity D. low density and high viscosity | 11 |

986 | A man weighing ( 50 k g f ) is standing on a wooden plank of ( 1 m times 0.5 m . ) What will be the pressure exerted by it on the ground. | 11 |

987 | Animals like camels walk easily in desert as broad feet exert less pressure on sandy ground. A. True B. False | 11 |

988 | A cuboid has dimensions of ( 0.4 m times ) ( 0.6 m times 0.2 m ) and a weight of ( 288 mathrm{kg}-f . ) What is the maximum pressure exerted by the cuboid? | 11 |

989 | The height of mercury barometer is ( h ) when the atmospheric pressure is ( 10^{5} P a, ) The pressure at ( x ) in the shown diagram is ( mathbf{A} cdot 10^{5} P a ) В ( .0 .8 times 10^{5} mathrm{Pa} ) c. ( 0.2 times 10^{5} P a ) D. ( 120 times 10^{5} mathrm{Pa} ) | 11 |

990 | The velocity of the liquid coming out of a small hole of a vessel containing two different liquid of densities ( 2 rho ) and ( rho ) shown in the figure is A ( cdot sqrt{6 g h} ) B. ( 2 sqrt{g h} ) ( c cdot 2 sqrt{2 g h} ) ( D cdot sqrt{g h} ) | 11 |

991 | The work done in blowing a soap bubble slowly from a radius of ( 5 mathrm{cm} ) to a radius of ( 10 mathrm{cm} ) is…………………. Joule (given the surface tension of water is ( 3.5 times 10^{-2} mathrm{N} ) ( left.m^{-1}right) ) ( A cdot 6.6 times 10^{-3} ) B. 2.2 ( times 10^{-3} ) c. ( 4.4 times 10^{-3} ) D. 8.8 ( times 10^{-3} ) | 11 |

992 | The pressure exerted by a liquid column of height h is given by (the symbols have their usual meanings). ( ^{mathrm{A}} cdot frac{h}{rho g} ) в. ( h rho g ) ( c cdot frac{h}{rho} ) D. ( h g ) | 11 |

993 | A tank full of water has a small hole at its bottom. Let ( t_{1} ) be the time taken to empty first one thbird of the tank and ( t_{2} ) be the time taken to empty second one third of the tank and ( t_{3} ) be the time taken to empty rest of the tank then ( mathbf{A} cdot t_{1}=t_{2}=t_{3} ) В ( cdot t_{1}>t_{2}>t_{3} ) ( mathbf{c} cdot t_{1}<t_{2}t_{2}<t_{3} ) | 11 |

994 | Which of the following diagrams does not represent a streamline flow? ( A ) в. ( c ) D. | 11 |

995 | Water flows in a horizontal tube as shown in figure. The pressure of water changes by ( 600 N / m^{2} ) between ( x ) and ( y ) where the areas of cross – section are 3 ( c m^{2} ) and ( 1.5 c m^{2} ) respectively. Find the rate of flow of water through the tube. A ( cdot 189 mathrm{cm}^{3} / mathrm{s} ) В ( cdot 159 mathrm{cm}^{3} / mathrm{s} ) c. ( 189 mathrm{cm}^{2} / mathrm{s} ) D. ( 159 mathrm{cm}^{2} / mathrm{s} ) | 11 |

996 | Assertion Turbulence is always dissipative. Reason High reynold number promotes turbulence. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion. B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion. C. Assertion is correct but Reason is incorrect. D. Both Assertion and Reason are incorrect | 11 |

997 | When a liquid is flowing through a tube or variable diameter, the pressure is? A. Maximum where the velocity is maximum B. Maximum where the velocity is minimum c. Minimum where the velocity is minimum D. None of the above is correct | 11 |

998 | Two equal drops are falling through air with a steady velocity of ( 5 mathrm{cm} s^{-1} . ) If the drop coalesces, the new terminal velocity will become: A. ( 5 times 2 c m s^{-1} ) B . ( 5 times sqrt{2} mathrm{cms}^{-1} ) C ( .5 times(4)^{frac{1}{3}} mathrm{cm} s^{-1} ) D. ( frac{5}{sqrt{2}} c m s^{-1} ) | 11 |

999 | When the system shown in the adjoining fig. is in equilibrium and the areas of cross sec. of the small and big piston are ( ^{prime} a^{prime} ) and ( ^{prime} 10 a^{prime}, ) then what is the value of ( boldsymbol{m} / boldsymbol{M} ) ? | 11 |

1000 | In a given arrangement. Find out velocity of water coming out of ‘C’ ( sqrt{frac{2 g h_{3}}{1-frac{a^{2}}{A^{2}}}} ) ( mathrm{B} cdot sqrt{frac{3 g h_{3}}{1-frac{a^{2}}{A^{2}}}} ) ( mathrm{c} cdot sqrt{frac{2 g h_{3}}{1-frac{a^{3}}{A^{2}}}} ) ( D ) | 11 |

1001 | The excess pressure in soap bubble is ( 10 mathrm{N} / mathrm{m}^{2} ). If eight soap bubbles are combined to form a big soap bubble, then the excess pressure in big bubble is : A. ( 5 mathrm{N} / mathrm{m}^{2} ) B. ( 10 mathrm{N} / mathrm{m}^{2} ) c. ( 20 mathrm{N} / mathrm{m}^{2} ) D. 2.5 N / m^ | 11 |

1002 | In a streamline flow. This question has multiple correct options A. The speed of the particle always remains same B. The velocity of the particle always remains same C. The kinetic energies of all the particles arriving at a given point are same D. The momenta of all the particles arriving at the given point are same | 11 |

1003 | Calculate the pressure if a force of ( 2 N ) is applied on an area of ( 2 m m^{2}: ) ( mathbf{A} cdot 10^{3} P a ) B . ( 10^{4} P a ) ( mathbf{c} cdot 10^{5} P a ) D. ( 10^{6} P a ) | 11 |

1004 | Surface tension of liquid A. Increases with area B. Decreases with area C. Increases with temperature D. Decreases with temperature | 11 |

1005 | A block of wood floats in water with ( frac{4}{5} ) th of its volume submerged, but it just floats in another liquid. The density of liquid is? ( left(operatorname{in} mathrm{kg} / m^{3}right) ) ( mathbf{A} cdot 750 ) в. 800 c. 1000 D. 1250 | 11 |

1006 | Pressure exerted by a body on a surface is A. force ( times ) area B. force div area c. area ( div ) force D. force div volume | 11 |

1007 | Figure shows a capillary rise ( h . ) If air is blown through the horizontal tube in the direction as shown then rise in capillary tube will be ( mathbf{A} cdot=h ) B. ( >h ) ( c cdot<h ) D. zer | 11 |

1008 | 1 TORR is equal to A. ( 1 mathrm{mm} ) of ( mathrm{Hg} ) B. ( 10 mathrm{mm} ) of ( mathrm{Hg} ) ( mathrm{c} .0 .5 mathrm{mm} ) of ( mathrm{Hg} ) D. ( 5 mathrm{mm} ) of ( mathrm{Hg} ) | 11 |

1009 | The instrument used for measuring humidity of air is called A. Calorimeter B. Hygrometer c. Pyrometer D. Hydrometer | 11 |

1010 | The area of cross section of the wider tube shown in fig. is ( 900 mathrm{cm}^{2} . ) If the body standing on the position weighs ( 45 mathrm{kg}, ) find the difference in the levels of water in the two tubes. | 11 |

1011 | Find the area of a body which experiences a pressure of ( 50,000 P a ) by a thrust of ( 100 N ) | 11 |

1012 | A flat plate moves normally towards a discharging jet of water at the rate of 3 ( mathrm{m} / mathrm{s} . ) The jet discharges the water at the rate of ( 0.1 m^{3} / s ) and at the speed of 18 ( mathrm{m} / mathrm{s} . ) The force exerted on the plate due to the jet is A . ( 1800 mathrm{N} ) B. 2100 N c. 2450 D. 1560 N | 11 |

1013 | A rectangular block has length, breadth and height of ( 30 mathrm{cm}, 20 mathrm{cm} ) and ( 10 mathrm{cm} ) respectively.Which one ofthe following statements is correct? A. The minimum pressure is exerted when breadth and height form the base B. The maximum pressure is exerted when breadth and height form the base c. The minimum pressure is exerted when length and height form the base D. The maximum pressure is exerted when length and breadth form the base | 11 |

1014 | What is the maximum flow speed of water for laminar flow in a pipe having a diameter ( 5 c m ) given that coeficient of visocity of water is ( 10^{-3} ) Pa sec. | 11 |

1015 | In the above problem, what is the acceleration of the cart at this instant? A ( cdot 1.6 m / s^{2} ) В ( cdot 1 m / s^{2} ) c. ( 0.64 m / s^{2} ) D. ( 0.16 m / s^{2} ) | 11 |

1016 | A mechanical machine which is used to lift or compress large loads. A. hydraulic press B. hydraulic lifts c. hydraulic brakes D. none | 11 |

1017 | The moisture present in mercury the barometric height of simple barometer A . increases B. decreases c. doesn’t change D. can’t say | 11 |

1018 | At what speed, the velocity head of a stream of water be equal to ( 40 mathrm{cm} ) of ( mathrm{Hg} ? ) B. ( 432.6 mathrm{cms}^{-1} ) c. ( 632.6 mathrm{cms}^{-1} ) D. ( 832.6 mathrm{cms}^{-1} ) | 11 |

1019 | – Whan – – | 11 |

1020 | Two hail stones with radii in the ratio of 1:2 fall from a great height through the atmosphere. Then their terminal velocities are in the ratio of: A .1: 2 B . 2: 1 ( c cdot 1: 4 ) D. 4: 1 | 11 |

1021 | The areas of the pistons in a hydraulic machine are ( 5 c m^{2} ) and ( 625 c m^{2} . ) What force on the smaller piston will support a load of ( 1250 N ) on the larger piston? | 11 |

1022 | A spherical ball is dropped in a long column of viscous liquid Which of the following graphs represent the variation of (i) gravitational force with time (ii) viscous force with time (iii) net force acting on the bass with time A. ( Q, R, P ) B. R, Q, P ( c . P, Q, R ) D. R, P, Q | 11 |

1023 | The radius of a soap bubble is r. The surface tension of soap solution is ( mathrm{S} ) Keeping temperature constant, the radius of the soap bubble is doubled, the energy necessary for this will be : A ( cdot 24 pi r^{2} S ) B. ( 8 pi r^{2} S ) ( mathrm{c} cdot 12 pi r^{2} S ) D. ( 16 pi r^{2} S ) | 11 |

1024 | The diagram shows a pump connected to a glass jar. The volume of the glass jar is ( 400 mathrm{cm}^{3} ) and it is filled with air. When the piston is pushed in completely, ( 50 mathrm{cm}^{3} ) of air is forced into the jar. What is the final volume of air in the jar? ( mathbf{A} cdot 50 mathrm{cm}^{3} ) В. ( 100 mathrm{cm}^{3} ) c. ( 400 mathrm{cm}^{3} ) D. ( 450 mathrm{cm}^{3} ) | 11 |

1025 | Which one of the following represents the correct dimensions of the quantity ( x=frac{eta}{rho}, ) where ( eta= ) coefficient of viscosity and ( rho= ) the density of a liquid? A ( cdotleft[M L^{-2} T^{-1}right] ) B ( cdotleft[M L^{-4} T^{-2}right] ) ( mathbf{c} cdotleft[M L^{-5} T^{-2}right] ) D. ( left[M^{0} L^{2} T^{-1}right] ) | 11 |

1026 | In a cylindrical water tank here are two small holes ( Q ) and ( P ) on the wall at a depth of ( h_{1} ) from the upper level of water and at a height of ( h_{2} ) from the lower end of the tank, respectively, as shown in the figure. Water coming out from both the holes strike the ground at the same point. The ratio of ( h_{1} ) and ( h_{2} ) is ( A ) B. ( c cdot>1 ) D. | 11 |

1027 | In a container water is filled upto certain height with a hole at its bottom. A bird is coming towards free surface of the liquid with velocity ( vec{V}_{b}=(12 hat{i}- ) ( mathbf{1 0} hat{boldsymbol{j}}) boldsymbol{m} / boldsymbol{s} ) and fish is rising upwards with velocity ( vec{V}_{f i s h}(3 hat{j}) m / s ) The speed of bird as seen by fish under normal incidence condition at the moment when water level in container is ( 20 m ) from its bottom is: (given hole area ( =1 c m^{2} ; ) surface area of liquid ( = ) ( left.20 c m^{2}right) ) A ( .20 m / s ) B. ( 40 mathrm{m} / mathrm{s} ) c. ( 10 mathrm{m} / mathrm{s} ) D. ( 12 m / s ) | 11 |

1028 | A long cylindrical tank of cross- sectional area ( 0.5 m^{2} ) is filled with water. It has a small hole at a height ( 50 mathrm{cm} ) from the bottom. A movable piston of cross-sectional area almost equal to ( 0.5 m^{2} ) is fitted on the top of the tank such that it can slide in the tank freely. A load of ( 20 k g ) is applied on the top of the water by piston, as shown in the figure. Calculate the speed of the water jet with which it hits the surface when piston is ( 1 m ) above the bottom. (Ignore the mass of the piston). | 11 |

1029 | The pressure in a water pipe on the ground floor of a building is 40000 pascal, whereas on the first floor it is 10000 pascal. Find the height of the first floor. (Take ( boldsymbol{g}=mathbf{1 0 m} boldsymbol{s}^{-2} ) ). | 11 |

1030 | Two drops of the same radius are falling through the air with steady speed v. If the two drops coalesce, what would be the terminal speed. ( A ) B. 2v ( c cdot 3 v ) D. none of these | 11 |

1031 | Match the List-I with List-II. | 11 |

1032 | What is the pressure on a swimmer 20 ( mathrm{m} ) below the surface of water: ( A cdot 1 ) atm B. 2 atm ( c cdot 3 operatorname{atm} ) D. 4 atm | 11 |

1033 | Applications of Bernoulli’s theorem can be seen in the A. dynamic lift of Aeroplane B. hydraulic press c. helicopter D. none of these | 11 |

1034 | toppr Q Type your question from the bottom of the vessel. The correct system of water flowing out is : ( A ) B. ( c ) ( D ) | 11 |

1035 | Due to air a falling body faces a resistive force proportional to square of velocity ( v, ) consequently its effective downward acceleration is reduced and is given by ( a=g-k v^{2} ) where ( k= ) ( 0.002 m^{-1} . ) The terminal velocity of the falling body is ( (operatorname{in} mathrm{m} / mathrm{s}) ) A . 60 B. 70 c. 80 D. 90 | 11 |

1036 | A gale is on a house. The force on the roof due to the gale is: B. zero c. directed upward D. information insufficient | 11 |

1037 | What is the pressure ( 200 mathrm{m} ) below the surface of the ocean if the sp. gravity of sea water is 1.03: [Atmospheric pressure ( left.=1.013 times 10^{5} N / m^{2}right] ) A ( .21 .2 times 10^{5} N / m^{2} ) B . ( 20.4 times 10^{5} N / m^{2} ) C ( .40 times 10^{4} N / m^{2} ) D . ( 21.2 times 10^{6} N / m^{2} ) | 11 |

1038 | Figure shows a capillary tube ( C ) dipped in a liquid that wets it. The liquid rises to a point A. If we blow air through the horizontal tube H, what will happen to the liquid column in the capillary tube? A . Level will rise above B. Level will fall below A c. Level will remain at ( A ) D. It is difficult to predict | 11 |

1039 | A stream of water flowing horizontally with a speed of ( 15 m s^{-1} ) gushes out of a tube of cross-sectional area ( 10^{-2} m^{2} ) and hits a vertical wall normally. Assuming that it does not rebound from the wall, the force exerted on the wall by the impact of water is: A ( cdot 1.25 times 10^{3} N ) В. ( 2.25 times 10^{3} N ) c. ( 3.25 times 10^{3} N ) D. ( 4.25 times 10^{3} N ) | 11 |

1040 | A water drop of radius 1.5 mm is falling from height ( 1 k m ) having drag constant 0.5 density of water drop is ( 1000 mathrm{kg} / mathrm{m}^{3} ) and density of air is ( 1.29 mathrm{kg} / mathrm{m}^{3} ). Find the terminal velocity. A. ( 8.7 mathrm{m} / mathrm{s} ) B. ( 7.8 mathrm{m} / mathrm{s} ) ( c .5 .6 m / s ) D. ( 4.3 mathrm{m} / mathrm{s} ) | 11 |

1041 | Which of these is not a unit of pressure? A. ( N m^{-2} ) B. Bar c. Ра D. kgwtt | 11 |

1042 | A cylindrical vessel contains a liquid of density ( rho ) up to height ( h ). The liquid is closed by a piston of mass ( m ) and area of cross section ( A ). There is a small hole at the bottom of the vessel. The speed ( v ) with which the liquid comes out of the hole is A ( cdot sqrt{2 g h} ) B. ( sqrt{2left(g h+frac{m g}{rho A}right)} ) c. ( sqrt{2left(g h+frac{m g}{A}right)} ) D. ( sqrt{2 g h+left(frac{m g}{A}right)} ) | 11 |

1043 | When a solid ball of volume ( V ) is dropped into a viscous liquid, then a viscous force ( F ) acts on it. If another ball of volume ( 2 V ) of the same material is dropped in the same liquid then the viscous force experienced by it will be ( mathbf{A} cdot 2 n F ) в. ( frac{n F}{2} ) ( c .2 F ) D. ( frac{F}{2} ) | 11 |

1044 | The work done in blowing a soap bubble of radius ( R ) is ( W_{1} ) and that to a radius ( 3 R ) is ( W_{2} . ) the ratio of work done is A .1: 3 B. 3: 1 c. 1: 9 D. 9: 1 | 11 |

1045 | Why does your body get more rest when you’re lying down than it does when you’re sitting? A. Body exerts less pressure while lying down B. Body exerts more pressure while lying down c. Body exerts zero pressure while lying down D. none of these | 11 |

1046 | Eight droplets of mercury, each of radius 1 mm, coalesce into a single drop. (a) Find the radius of the single drop? [Surface tension of mercury ( = ) ( left.mathbf{0 . 4 6 5} boldsymbol{J} / boldsymbol{m}^{2}right] ) | 11 |

1047 | The density of the atmosphere at sea level is ( 1.29 mathrm{kg} / mathrm{m}^{2} ). assume that it does not change with altitude. then how high would the atmosphere extend? ( A cdot 3 mathrm{km} ) в. 7 кт ( c cdot 8 k m ) ( D cdot 9 mathrm{km} ) | 11 |

1048 | According to Stoke’s law, the viscous drag force, on an oil drop is proportional to: A. ( sqrt{V} ) B. ( V^{2} ) c. ( V^{-1} ) D. ( V ) | 11 |

1049 | A stream lined body falls through air from a height on the surface of a liquid. Let ( d ) and ( D ) denote the densities of the materials of the body and the liquid respectively. If ( D>d ), then the time after which the body will be instantaneously at rest is: A ( cdot sqrt{frac{2 h}{g}} ) B. ( sqrt{frac{2 h}{g} frac{D}{d}} ) c. ( sqrt{frac{2 h}{g} frac{d}{D}} ) D. ( frac{d}{(D-d)} sqrt{frac{2 h}{g}} ) | 11 |

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