# Mechanical Properties Of Fluids Questions

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 NoQuestionsClass
1A 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
2Fill in the blank
The common water pump works on the
principle that atmosphere exerts
A. Torceilian
B. pressure
c. sea level
D. none
11
3Assertion
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
4In 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
5The 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
6By 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
7A 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
8A 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
9A 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
10A 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
11The Magnus effect is equivalent to:
A . electric field
B. magnetic field.
c. Bernoulli’s theorem.
D. magnetic effect of current.
11
12manometer 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
13When 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
14A 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
15sin 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
16At 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
17If ( 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
18Eight 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
19If 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
20If 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
21A ( 300,000 k g ) commercial airlines is flying through the air with ( 150,000 N ) of
thrust.

For airplanes traveling at high speeds,
the drag force is related to the velocity by the following equation
[
boldsymbol{F}_{text {drag}}=-boldsymbol{b v}^{2}
]
where drag force is opposite to the direction of the velocity. If the drag constant ( b ) is ( 3 k g / m ) and the
airplane is moving at ( 200 m / s, ) how would you describe its motion?
A. In equilibrium (cruising at constant speed)
B. Nearequilibrium, positive acceleration
c. Near equilibrium, negative acceleration
D. Greatly accelerating during takeoff
E. Greatly slowing down during landing

11
22A 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
23A 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
24A 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
25A 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
26In 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
27Several 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
29The 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
30Liquids can flow. Why? We can keep a gas in an open container.
Do you agree? Given reason.
11
31Two 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
32A 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
11
33The 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
34Water 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
35The 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
36What is the gauge pressure at the water mercury interface?11
37Eight 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
38The 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
39Compare 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
40Bernoulli’s principle is based on the law of conservation of :
A. Mass
B. Momentum
c. Energy
D. None of these
11
41The 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
42Uniform 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
43Work 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
44The 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
45A 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
46Bernoulli’s theorem is a consequence of the law of conservation of :
A. Angular momentum
B. Mass
c. Energy
D. Momentum
11
47What 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
48If 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
49The 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
50Pressure 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
51Assertion
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
52An 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
53A ( 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
54Streamline 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
55How many commonly used hydraulic jacks are available?
A. 3
B. 4
( c cdot 2 )
( D )
11
56If 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
57What is maximum Reylonds number for
laminar flow?
A . 500
B. 4000
( c .2000 )
D. 8000
11
58Two 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
59The 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
60Bernoulli’s equation includes as a special case:
A. Archimede’s principle
B. Pascal’s law
c. Toricelli’s law
D. Hooke’s law
11
61State true or false.
Animals like camels walk easily in the desert as broad feet exert great
pressure on the sandy ground.
11
62When 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
63Assertion
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
64A 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
65A 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
66At 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
67A 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
68A 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
69Distance ( 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
70The 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
71Twenty-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
72A 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
73The 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
74Mercury 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
75A 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
76A 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
77Take 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
78A 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
79Assertion
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.
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
80Assertion
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
81If 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
82The U-tube of a manometer has:
A. one side open
B. both sides open
c. both sides closed
D. none of these
11
83A 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
84Which of the following is/ are correct
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
85Figure 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
86Two 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
87A 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
88Choose 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
89The 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
90An 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
91When 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
92An 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
93The 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
94Principle 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
95Two 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
96An 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
11
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
98A 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
99The vertical height of the mercury column in a barometer remains
unaffected even if the tube is tilted.
A. True
B. False
11
100If ( 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
101What 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
102The 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
103The 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
104toppr ( t )
speed. Which one of the following
graphs best depicts the variation of its
speed ( boldsymbol{v} ) with time ( t ? )
( A )
( B )
( c )
( D )
11
105In the integral type of power brake, the diaphragm acts directly on the hydraulic piston in the
A. Master cylinder
B. Wheel cylinder
D. Multiplier unit
11
106A 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) )

11
107When 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
108Identify 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
109In 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
110kg 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
111Water 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
112Show that the surface tension of a
liquid is numerically equal to the
surface energy per unit area.
11
113An 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
114State whether given statement is True or False

Buildings have wide foundations so
that they exert less force on the ground
or Earth.
A. True
B. False

11
115Length 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
116A 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
117A 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
118Liquid 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
119What 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
120Porters (coolies) place on their heads a round piece of cloth, to the
area of contact of the load with their
A. increase
B. decrease
c. maintain the same
D. can not say
11
121Vertical 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
122A 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
123Assertion
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
124A 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
125Assertion
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
126Lifting 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
127A 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
128In Jeeps we use
A. Mechanical brakes
B. Hydraulic brakes
C. Air brakes
D. water brakes
11
129A 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
c. ( frac{gleft(h_{1}-h_{2}right)}{l} ) towards right
D. ( frac{gleft(h_{1}-h_{2}right)}{l} ) towards left
11
130Pressure 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
131The 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
132Torr is the physical quantity for atmospheric pressure. Type 1 for true
and 0 for false
11
133The 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
134If 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
135In 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
136The 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
137Water 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
138toppr
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
139Water 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
140There 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
141at the walls of the pipe?11
142A 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
143Fill 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
144A 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
145As the depth of the river increases, the velocity of flow:
A. increases
B. decreases
c. remains unchanged
D. may increase or decrease
11
146The 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
147Equal 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
148Several 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
149An 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
150In 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
151A 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
152Several 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
153A 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
154A 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
155Atmospheric 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
156Equal 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
against time. Choose a possible option:
4
B.
( c )
( D )
11
158A 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
159The 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
160The 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
161Eight 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
162In 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
163A 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
164Pascal’s law is used for the working of:
A. Hydraulic brakes
B. Hydraulic jack
c. Hydraulic press
D. All
11
165In 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
166In 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
167A 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
168Given 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
169Water 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
170Barometer is used for measuring:
A. Liquid pressure
B. Thrust
c. Atmospheric pressure
D. Air temp
11
171An 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
172Write the formula terminal velocity11
173In 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
174A 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
175A 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
177Why sleepers are used below the rails?11
178A 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
179The 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
180A 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
181In 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
182Water 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
183The Sl unit of pressure is
( A cdot ) atm
B. dyne/cm ( ^{2} )
c. pascal
D. mm of Hg
11
184A 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
185A 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
186Insects 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
187Water 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
188Two equal drops of water are falling
through air with. steady velocity v. If the
drops coalesced, what will be the new velocity?
11
189I 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
190Why is mercury used as a barometer
liquid. Give three reasons.
11
191Well known formula one racing car has
a body with
A. laminated design
B. turbulent design
c. flat design
D. streamlined design
11
192Why do lories carry heavy load have
11
193In 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
194Assertion: 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
195The 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
196Two 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
197Two 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
198A boat is streamlined to reduce the
resistance to motion offered by
A. True
B. False
11
199A 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
200A 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
201The 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
202The space above the mercury column in a barometer is torricellian vacuum.
A. True
B. False
11
203Choose 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
204Which of the following scientists invented the mercury barometer?
A. Blaise Pascal
B. Evangelist Torricelli
c. James Joule
D. Robert Brown
11
205A 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
206Two 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
207The 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
208Assertion
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
209A 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
210What is the magnitude of atmosphere
pressure.
11
211Find 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
212The 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
213A 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
214The mercury barometer was invented
by:
A. Celsius
B. fahrenheit
c. Torricelli
D. Bernoulli
11
215An 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
216Two 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
217How can a scuba diver keep from
floating back to the surface of the
water?
11
218The 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
219An 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
220The 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
221The 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
222A 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
223Brass 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
224Two 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
225A square hole of side a is made at a
depth ( h ) below water surface and to the
side of a water container another
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
226The 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
227If 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
228Determine 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
229State True or False.
One atmospheric pressure at sea level is equal to ( 760 mathrm{cm} ) of ( mathrm{Hg} ).
A. True
B. False
11
230A 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
231At 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
232Fill 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
233A 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
234A 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
235It is difficult to cut cloth using a pair of scissors with blunt blades. Explain.11
236A 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
237Sometimes 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
238What 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
239Fig. 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
240At 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
241If 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
242A 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
243Assertion
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
244A 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
245When 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
246Two 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
247The 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
248The 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
depth of the take is :
( mathbf{A} cdot 5 m )
в. 10 т
( c .15 m )
D. ( 20 m )

11
249toppr
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
250A 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
251In 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
252A 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
253With the increasing altitude, gauge
pressure:
A. increases
B. decreases
c. remains same
D. becomes zero
11
254In 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
255How 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
256toppr
the liquid columns in the two tubes?
( A )
(1)
( B )
(2)
( c )
(3)
( D )
(4)
11
257Horizontal 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
258Write short note on ‘Pressure Cooker’.11
259Figures ( (a) ) and ( (b) ) refer to the steady
flow of a (non-viscous) liquid. Which of the two figures is incorrect? Why?
11
260A 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
261A 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
262During 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
263A 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
264has 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
265The 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
266Air 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
267Differentiate between streamline and
turbulent flow.
11
268A 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
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
270An 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
271toppr
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
272At 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
273Under 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
274The 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
275The 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
276A 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
277A 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
278Three 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
279A 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
280Assertion
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
281jacks 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
282A 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
283Two 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
284A 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
285The 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
286What is pressure on swimmer ( 10 mathrm{m} )
below the surface of a lake?
Atmospheric pressure is
11
287The 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
288The 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
289What is a Venturimeter? On what
principle does the Venturimeter work?
11
290A 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
291A 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
292What 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
293A 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
294A 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
295The Sl unit of hydro-static pressure is :
A. Pa
B. ( N m^{-1} )
c. ( mathrm{Nm} )
D. ( k g ) wt ( m^{-2} )
11
296The 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
297The 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
298The 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
299The empty space above mercury in a simple barometer is called
vaccum
A . pressure
B. barometric
c. torricellian
D. mercuric
11
300A 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
301Liquid pressure is measured using a
A. barometer
B. manometer
c. sphigmomanometer
D. thermometer
11
302The 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
303A 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
304Water 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
305The 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
306Assertion
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
307Two 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
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
309Which 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
310Pressure ( 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
311A 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
312Work 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
313At 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
314In 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
315Find 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
316The 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
317Sea 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
318If 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
319A 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
320When 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
321A 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
322A 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
323The 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
324The 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
325A 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
326State the principle on which a hydraulic
press works.
A. Archimedes principle
B. Bernoulli’s principle
c. Pascals Law
D. None of these
11
327In 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
328A 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
329Calculate 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
330A 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
331A 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
332Where should a horizontal tube B
connected, without causing any flow
between the tanks?
11
333A 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
334The 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
335Pressure 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
336Atmosphere 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
337Fill in the blank.
Atmospheric pressure with increase in
altitude.
A. increases
B. decreases
c. remains constant
D. may increase or decrease
11
338In 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
339Speed 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
340Water 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
341Which 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
342There 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
343A person presses the earth least where
he is :
A. Sitting
B. Standing
c. Running
D. Lying on the ground
11
344A 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
345Ramesh 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
346A 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
347A 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
348State True or False.
A barometric liquid having high density produces a shorter column of liquid.
A. True
B. False
11
349A 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
350A 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
11
352A 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
353The magnitude of pressure measured in
Sl system is greater than that measured in CGS system.
A. True
B. False
11
354A 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
355A 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
356Toricelli’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
357If ( 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
358Match 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
359A 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
360The 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
361A 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
362Two 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
363Based 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 the barometric liquid column is independent of nature of liquid used.

11
364A 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
365The 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
366Two 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
367A 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
368The 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
369What is the time required to empty the tank through the orifice at the bottom?11
370Assertion
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
372The 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
373Water falls from a tap, down the streamline
A. Area decreases
B. Area increases
c. velocity remains same
D. Area remains same
11
374Draw the diagram of mercury
barometer.
11
375Two 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
376A 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
377Under same depth, atmospheric
pressure is water
pressure.
A. less than
B. greater than
C. equal to
D. none of these
11
378A 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
379Drops 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
380A 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
381A 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
382Calculate 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
383When water flows through a pipe, which
layer moves fastest?
11
384A 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
385A 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
386The 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
387If 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
388A 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
389Spherical 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
390A. 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
391toppr
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
392Water comes out more slowly from an
upstairs tap than from a similar tap downstairs.
11
393A 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
394The 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
395At 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
396A 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
397Hydraulic 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
398The atmospheric pressure at is 100,000 pascal.
A . ( 10.34 mathrm{m} )
B. torcellian
c. sea level
D. none
11
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
400A 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
c. It slightly increases
D. It cut to a half
11
401Lifting automobiles in service stations is based on the principle of11
402Two 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
403The surface of water in contact with
glass wall is
A . Plane
B. concave
c. convex
D. Both b and c
11
404Two 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
405Assertion
Smaller drops of liquid resist deforming forces better than the larger drops.
Reason

Excess pressure inside a drop is directly proportional to 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
406Assertion
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
407A 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
408Action of paint-gun is based on:
A. Bernoulli’s principle
B. Boyle’s law
D. Archimedes’s principle
11
409A 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
410If 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
411Why 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
412The 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
413A 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
414toppr
with decrease in the depth?
( A )
( B )
( c )
( D )
11
415A 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
416In the power assisted kind of brake the bellows applies force to master cylinder
piston
B. Directly
11
417A 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
418Assertion
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
419Air pressure is usually highest when the
air is
11
420The 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
421If 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
422The 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
423If water be used to construct a
barometer, what would be the height of water column at standard atmospheric pressure (76 cm of mercury)?
11
424Poise is the unit of :
A. pressure
B. friction
c. surface tension
D. viscosity
11
425Water 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
426A 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
427The 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
428A 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
429Four 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
430The 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
431Find the pressure in the circular water
pipe shown in the figure
11
432Give the absolute and gauge pressure of the gas in the enclosure for cases (a)
and (b)in units of cm of mercury
11
433The 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
434A 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
435When 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
436Assertion
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
437Two 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
438If 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
439An 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
440A 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
441If 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
442The 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
443The commonly used barometric liquid
in a barometer is
11
444State true or false.
Animals like camels walk easily in the desert as broad feet exert great
pressure on the sandy ground.
11
445How much work does the atmospheric
pressure do in compressing the spring?
11
4468 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
447A fluid is said to be ideal, if it is
A. incompressible
B. inviscous
c. viscous and incompressible
D. inviscous and incompressible
11
448A 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
449Name the device used for measuring the pressure exerted by liquids. Also, state its working principle.11
450The 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
451Two 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
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
453The 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
454In 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
455The 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
456Why do our ears pop when we go to
mountains?
11
457A 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
458Why do the tyres of a bicycle feel hard
when air is filled in the tubes inside
them.
11
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
460Two 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
461If 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
462Force 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
463A 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
464Assertion
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
465A 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
466The 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
467A 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
468Name the kind of meniscus formed in
case of water.
A. Concave
B. convex
c. Both ( A & B )
D. None
11
469The 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
470A 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
471For 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
472The 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
473Coating 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
474A 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
475A 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
476The 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
477The 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
478A 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
479Pressure 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
480The 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
481A 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
482In 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
483A 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
484Mention 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
485If 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
486A 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
487A 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
488A barometric liquid having high density produces a shorter column of liquid.
A. True
B. False
11
489State True or False.
Hydraulic press is used in the extraction of oil from oil seeds.
A. True
B. False
11
490With 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
491The 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
492A force of ( 15 N ) acts on an area of ( 50 c m^{2} )
What is the pressure in pascal.
11
493With 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
494Water 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
495The 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
496Derive Laplace’s law for a spherical
membrane.
11
497Two 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
498Air 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
499To 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
500At 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
501A 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
502The 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
503If 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
504By 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
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
505Calculate 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
506The 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
507The 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
508A 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
509A 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
510The 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
511The 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
512What 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
513A 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
514What 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
515In 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
516Pressure 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
517A 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
518A 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
519Mark 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
520Work 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
521A 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
522The 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
523A 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
524One 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
525the pressure exerted by atmosphere is
( ? )
A. large
B. small
c. zero
D. none of the above
11
526In 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
527A 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
528Spherical 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
529In 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
530A 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
531Which 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
532They 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
533The 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
534Somewater 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
535In 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
536initial speed with which water strikes
the ground.
11
537An 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
538The 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
539Calculate 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
540A 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
541During 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
542A 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
543The 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
544The terminal velocity ( V ) of a spherical
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
545The 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
546If 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
547The 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
548Why 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
549If you dip your open palm in a bucket full of water, you feel your hand being pushed up? Why?11
550The 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
552A 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
553A 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
554Why 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
555A 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
556A 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
557A 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
558A 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
559In 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
lift?
A . 40
B. 42
c. 10
( D .4 )
11
560A 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
561If ‘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
562Sometimes 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
563When 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
564What 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
565STATEMENT-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
566A 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
567What is the pressure on a swimmer 10 m below the surface of a lake?11
568The horizontal flow of fluid depends
upon
A. Pressure difference
B. Amount of fluid
c. Density of fluid
D. All the above
11
569When 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
570If 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
11
571The 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
573Find 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
574Mark 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
575Two 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
576A 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
577A 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
578A 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
579When 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
580Assertion
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
581In 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
582The 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
583Two 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
584The 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
585After 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
586A 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
587A 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
588Which of the following is used for punching holes in metals:
A. Hydraulic brakes
B. Hydraulic jack
c. Hydraulic press
D. All
11
589The 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
590Equal 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
591Calculate 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
592Pressure 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
593What makes a balloon get inflated when
air is filled in it?
11
594Stream 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
595A 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
596A 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
597One 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
598An 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
599A 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
600Calculate 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
601The 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
602and we (i) (i)11
603we 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
604If 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
605Do liquids exert pressure on the sides of the container they are kept in? Justify.11
606The 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
607Pressurize cabins are used in
A. Ships
B. Mountaineering
C. Aircrafts
D. Sphygmomanometer
11
608A 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
609The 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
610Work 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
611Pressure due to the weight of ice will be
maximum at
( A )
( B )
C. both 1 and 2
D. neither 1 nor 2
11
612A 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
613Two 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
614Consider 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
615what 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
616The 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
617A 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
618Write the dimension of coefficient of
viscosity.
11
619A 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
620Based 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
621A 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
622A 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
623The 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
624One 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
625If 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
626A 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
627According 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
628bricks 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
629When 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
630State True or False.
The CGS unit of pressure is 10 times greater than the MKS unit of pressure.
A. True
B. False
11
631A 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
632Equal 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
633In 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
634toppr
B
( c )
( D )
11
635What 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
636Assertion
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
637Fill in the blank.
Pressure is inversely proportional to
A . force
B. mass
c. area
D. none of the above
11
638Assertion
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
639The 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
640Vessel 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
641Pressure 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
642A 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
643toppr
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
644The working of hydraulic brakes is
based on Pascal’s law.
A. True
B. False
11
645The 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
646At 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
647A 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
648What 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
649The water forecasting department uses as the unit of pressure
A. bar
в. ( N m^{-2} )
( c . P a )
D. mm of ( H g )
11
650The 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
651In the air brake, air pressure is supplied
by
A. Engine manifold
B. A compressor
c. The diaphragm valve
D. pump
11
652If 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
653The 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
654Fill 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
655Two 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
656Through 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
657The 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
658A 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
659A 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
660If 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
661The 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
662In 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
663Consider 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
665toppr
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
666When 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
667The 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
668A 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
669To 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
670Explain the relation between the area of contact and pressure exerted on a body.11
671A 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
672A 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
673A 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
674A 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
675A 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
676Assertion
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
677Simple barometer was first discovered
in
A. 1886
B. 1991
( c .1643 )
D. 1362
11
678A 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
679If 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
680Each 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
681An 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
682Water 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
683In 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
684When 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
685A 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
686State whether true or false:
A simple barometer is compact and portable.
A. True
B. False
11
687An 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
688Ratio 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
689What 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
690A 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
691toppr
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
( ^{mathbf{A} cdot} frac{left|vec{V}_{P}right|}{left|vec{V}_{Q}right|}=frac{eta_{1}}{eta_{2}} )
( ^{mathbf{B}} cdot frac{left|vec{V}_{P}right|}{left|vec{V}_{Q}right|}=frac{eta_{2}}{eta_{1}} )
( mathbf{c} cdot vec{V}_{P} cdot vec{V}_{Q}>0 )
D. ( vec{V}_{P} cdot vec{V}_{Q}<0 )

11
692The 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
693Which 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
694has 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
695It is easier to cut with a sharp knife
than with a blunt one.
11
696An 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
697Two 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
698pistons ( 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
699A 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
700The 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
701Initially ( (l=0), ) the force on the cart is equal to:
A . ( 20 N )
B. ( 40 N )
( c .80 N )
D. zero
11
702The 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
703The 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
704A 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
705Assertion: Sudden fall of pressure at a place indicates storm

Reason: Air flows from higher pressure
to lower pressure.
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
706The 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
707Air 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
708Height 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
709Assertion
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
710An 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
711An 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
is:
A ( cdot frac{P rho}{g} )
в. ( frac{P}{rho g} )
( c cdot rho g )
D. ( P rho g )
11
713In 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
714Read 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
715In 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
716A 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
717The 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
718A 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
719The 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
720A 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
721A drop of water detaches itself from the
exit of a tap when ( (sigma= ) surface tension
of water. ( rho= ) density of water, ( boldsymbol{R}= )
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
722works on the Pascal’s law and is
used in automobiles.
A. Hydraulic press
B. Hydraulic lift
c. Hydraulic jack
D. All
11
723Assertion: 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.
A. If both assertion and reason are true but the reason is the correct explanation of assertion.
B. If both assertion and reason are true but the reason is not the correct explanation of assertion
c. If assertion is true but reason is false
D. If both the assertion and reason are false.
E . If reason is true but assertion is false

11
724What 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} ) poise11
725Which of the following factors affect pressure? This question has multiple correct options
A. Area
B. Acceleration
c. Force
D. None
11
726The 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
727manometer 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
728The 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
729A 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
730A 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
731A 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
732Release valve is seen in:
A. Hydraulic brakes
B. Hydraulic jack
c. Hydraulic press
D. All
11
733An 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
734During 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
735For 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
736Which 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
737Calculate 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
738A 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
739Stream 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
740Give the absolute and gauge pressure of the gas in the enclosure for cases (a)
and (b)in units of cm of mercury
11
741The space above the mercury column in a barometer contains_ – ( — ) (mercury,
water) vapour.
11
742The 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
743Equal 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
744The 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
745In 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
746In 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
747Choose 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
748A 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
749Pascal (Pa) is the unit of
A. Thrust
B. Pressure
c. Buoyant force
D. Momentum
11
750Water 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
751Assertion: 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
752A 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
753In 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
754In 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
755The 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
756In 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
757Speed 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
758During 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
759The material used for brake drum is
A. Alluminum alloy
B. Cast steel
c. Pressed steel
D. cast Iron
11
760A 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
761A 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
762If 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
763A 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
764The upward force acting on an object immersed in a liquid is called ( ldots )….. force. It is alos called11
765The weight of the body immersed in a liquid appears to be than its actual
weight.
11
76664 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
767The 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
768A 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
769A 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
viscosity of water is ( 9.8 times ) ( left.10^{-6} N-s / m^{2}right) )
11
770According 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
771The 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
772In 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
773When 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
774Some 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
775State whether true or false:
The air pressure can support ( 13.10 m ) vertical column of mercury.
A. True
B. False
11
776Assertion
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
777A 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
778Two 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
779At 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
780A ( 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
the bed makes contact with the floor.
A. ( 273.3 P a )
в. ( 373.5 P a )
( mathbf{c} .173 .3 P a )
D. ( 473.3 P a )

11
781Atmospheric pressure is measured by a
A. Doctor’s thermometer
B. Speedometer
c. Mercury barometer
D. all of these
11
782A 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
783The 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
784If 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
785Three 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
786If 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
787Identify 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
788Two forces of ( 1 mathrm{N} ) each act on the
smallest and the largest sides of a
rectangular box. Which side experiences greater pressure?
11
789When 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
790An 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
791Poise is the unit of :
A. surface tension
B. capillarity
c. viscosity
D. buoyancy
11
792A 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
793The sports boot for soccer and hockey have studs on their soles.Why?11
794The 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
795A 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
796A 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
797The 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
798A 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
799When 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
800Explain how is the height of mercury column in tube of a simple barometer is
a measure of the atmospheric pressure.
11
801Which of the following instrument is used for measuring gauge pressure?
A. Thermometer
B. Barometer
c. Manometer
D. Hydrometer
11
802The 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
803A 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
804Bernoulli’s principle is based on the law of conservation of :
A. Mass
B. Momentum
c. Energy
D. None of these
11
805In 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
806If 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
807A 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
808The divers have to wear specially designed air filled suits for their
protection while diving deep under the
sea.
11
809A 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
810Assertion: 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
811The Sl unit of pressure is:
A. atmosphere
B. ( d y n e / c m^{2} )
c. Pascal
D. mm of Hg
11
812A 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
813A 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
814A 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
815The 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
816A 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
817Answer true or false. ‘Faster the
movement of the air greater is the drop
in pressure’.
A. True
B. False
11
818Water 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
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
820A 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
821A 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
822In 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
823Assertion
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
824The 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
825A solid weights ( 500 mathrm{N} ). Calculate the pressure extended by solid on surface if the area of contact is ( 100 mathrm{cm} ) square.11
826A 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
827After 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
828Water 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
829Water 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
(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
831Two 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
832Velocity 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
833Assertion
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
834A 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
835gas 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
836Pressure varies inversely with area ( (A) ) provided the thrust is same.
A. True
B. False
11
837Why 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
838Hydraulic brakes are based on
A. Pascal’s law
B. Torricelli’s law
c. Newton’s law
D. Boyle’s law
11
839Define stream line, streak line, path line and give their differences11
840In 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
841The atmospheric pressure is due to the:
B. air mass surrounding earth
c. gravitational force of sun and other planets
D. mass of the earth
11
842A 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
843If ( 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
844The 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
845A 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
846A 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
847It is difficult to cut cloth using a pair of scissors with blunt blades. Explain.11
848How 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
849A 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
850A rough ball is thrown such that it
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
851A 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
852What is magnus effect?11
853In 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
854At 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
855Hydraulic press is based upon:-
A. Archimede’s principle
B. Bernoulli’s theorem
c. Pascal’s law
D. Reynold’s number
11
856The 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
857Water 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
858toppr ( E )
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
859State 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
861A 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
862In 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
863In 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
864A 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
865Water 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
866Assertion
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
value of ( g ) on earth’s surface.
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
867A 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
868The 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
869The 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
870Bernoulli’s equation is conservation of:
A. Energy
B. Momentum
c. Angular momentum
D. Mass
11
871Two 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
872The 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
873The 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
874At 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
875Find 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
876Spherical 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
877A gas at a pressure of 325 torr exerts a
force of

Non an area of ( 5.5 m^{2} )
A ( cdot 2 times 10^{3} )
B. 10
( c cdot 1.0 )
D. ( 2.4 times 10^{5} )

11
878The 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
879Pressure cannot be measured in:
( mathbf{A} cdot mathbf{N} m^{-2} )
B. bar
c. Ра
D. kg wt tt
11
880If 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
881For 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
882Water 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
883An 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
884Water 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
885It 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
886Pascal is the SI unit of
A . weight
B. thrust
c. pressure
D. temperaure
11
887toppr
( 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
888represent the motion of a raindrop?
( A )
B.
( c )
( D )
11
889Some 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
890Why two streamlines never intersect?11
891For 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
892The 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
893Assertion
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
894The 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
895A 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
896The tube in simple barometer is filled with mercury.
A. Half
B. Three-fourth
c. completely
D. Two-third
11
897two 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
898Why is it easy to walk on sand with flat shoes, then with high heel shoes?11
899The 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
900Two 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
901When 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
902Assertion
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
903When air beneath the piston is
completely pumped out, how much does
the atmospheric pressure cause the
spring to compress?
11
904Water barometer is possible provided barometer tube is ( _{–}—m ) long.
( mathbf{A} cdot mathbf{1} )
B. 3
( c .5 )
D. 11
11
905The pressure exerted by a mixture of atmospheric gases on its surroundings and on the surface of the earth is known
as
11
906Water 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
907The 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
908Match 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
909In 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
910The 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
911Assertion
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
912Let 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
913Two 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
914The 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
915A 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
916Water 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
917Two 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
918Fill 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
919A 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
920Show that the pressure in a fluid at rest in same at all points if we ignore gravity.11
921A 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
922The Sl unit of pressure gradient is
A. ( N m^{-2} )
в. ( N m )
( mathbf{c} cdot N m^{-1} )
D. ( N m^{-3} )
11
923The 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
924A 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
925The 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
926A 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
927Discharge 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
928What 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
929Which of the following works on Pascal’s law?
A. Sprayer
B. Venturimeter
c. Hydraulic liftt
D. Aneroid barometer
11
930The 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
931An 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
932What does hydraulic jacks use to move oil through two cylinders?
A. Pipe
B. Wheel
c. Pump Plunger
D. Tube
11
933Which of the following is different from
the rest?
A. bar
B. torr
c. kg-wt
D. Pa
11
934As 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
935How 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
936A 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
937time taken to empty the tank to half its
original value. ( left(boldsymbol{g}=mathbf{1 0 m} / boldsymbol{s}^{2}right) )
11
938An 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
940Bernoulli’s principle is based on the law of conservation of
A. Angular momentum
B. Linear momentum
c. Mass
D. Energy
11
941Atmospheric pressure decreases with in height.
A. increase
B. decrease
c. Both (A) and (B)
D. None
11
942Water 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
943An 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
944Standard 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
945Two 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
946When 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
947The 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
948A 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
949When 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
950If 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
951With the increasing altitude, gauge
pressure:
A. increases
B. decreases
c. remains same
D. becomes zero
11
952A 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
953A 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
954Water 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
955How is pressure related to force?
A. Directly proportional
B. Inversely proportional
C. Either A or B
D. Neither A nor B
11
956The 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
957Why it is easy to cut with a sharp knife
than a blunt?
11
958Assertion
In the siphon shown in figure, pressure
at ( P ) is equal to atmospheric pressure.
Reason

Pressure at ( Q ) is atmospheric pressure
and points ( mathrm{P} ) and ( mathrm{Q} ) are at same levels.
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
959In 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
960The correct shape of a water drop
enclosed between two glass plates in
gravity free space will be:
( A )
в.
( c )
D.
11
961There 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
962Two 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
963The working principle of a ball point pen is:
A. Bernoullis theorem
B. Surface tension
c. Gravity
D. Viscosity
11
964A 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
965When 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
966A 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
967When a force acts on a large area, the
pressure it exerts is more.
A. True
B. False
c. Ambiguous
D. Data insufficient
11
968A ball is dropped into coaltar. Its
velocity-time curve will be
( A )
( B )
( mathbf{c} )
D.
11
969A 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
970What 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
971Rain 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
972A 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
973while 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
974Calculate 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
975Two 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
976The 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
977A 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
978There 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
979liquid 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
980Two 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
981Why 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
982Hydraulic 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
983A 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
984Water 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
985Streamline 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
986A 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
987Animals like camels walk easily in desert as broad feet exert less pressure
on sandy ground.
A. True
B. False
11
988A 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
989The 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
990The 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
991The 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
992The 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
993A 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
994Which of the following diagrams does not represent a streamline flow?
( A )
в.
( c )
D.
11
995Water 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
996Assertion
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
997When 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
998Two 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
999When 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
1000In 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
1001The 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
1002In 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
1003Calculate 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
1004Surface tension of liquid
A. Increases with area
B. Decreases with area
C. Increases with temperature
D. Decreases with temperature
11
1005A 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
1006Pressure 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
1007Figure 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
10081 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
1009The instrument used for measuring
humidity of air is called
A. Calorimeter
B. Hygrometer
c. Pyrometer
D. Hydrometer
11
1010The 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
1011Find the area of a body which
experiences a pressure of ( 50,000 P a ) by
a thrust of ( 100 N )
11
1012A 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
1013A 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
1014What 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
1015In 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
1016A mechanical machine which is used to
A. hydraulic press
B. hydraulic lifts
c. hydraulic brakes
D. none
11
1017The moisture present in mercury the barometric height of simple barometer
A . increases
B. decreases
c. doesn’t change
D. can’t say
11
1018At 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
1020Two 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
1021The 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
1022A 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
1023The 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
1024The 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
1025Which 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
1026In 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
1027In 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
1028A 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
1029The 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
1030Two 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
1031Match the List-I with List-II.11
1032What 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
1033Applications of Bernoulli’s theorem can
be seen in the
A. dynamic lift of Aeroplane
B. hydraulic press
c. helicopter
D. none of these
11
1034toppr
from the bottom of the vessel.
The correct system of water flowing out
is :
( A )
B.
( c )
( D )
11
1035Due 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
1036A gale is on a house. The force on the
roof due to the gale is:
B. zero
c. directed upward
D. information insufficient
11
1037What 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
1038Figure 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
1039A 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
1040A 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
1041Which of these is not a unit of pressure?
A. ( N m^{-2} )
B. Bar
c. Ра
D. kgwtt
11
1042A 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
1043When 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
1044The 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
1045Why 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
1046Eight 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
1047The 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
1048According 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
1049A 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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