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

#### List of units and measurement Questions

Question No | Questions | Class |
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1 | Mass of a body is ( 210 mathrm{gm} ) and its density is ( 7.981 g m / c m^{3} . ) What will be its volume with regard to significant digits? A ( cdot 26.312 mathrm{cm}^{3} ) В. ( 26 mathrm{cm}^{3} ) ( mathbf{c} cdot 27 c m^{3} ) D. ( 26.3 c m^{3} ) | 11 |

2 | 14. Density of a liquid in CGS system is 0.625 g/cm². What is its magnitude in SI system? (a) 0.625 (b) 0.0625 (c) 0.00625 (d) 625 | 11 |

3 | The temperatures of two bodies measured by a thermometer are ( t_{1}= ) ( mathbf{2 0}^{o} boldsymbol{C} pm mathbf{0 . 5}^{o} boldsymbol{C} ) and ( boldsymbol{t}_{2}=mathbf{5 0}^{o} boldsymbol{C} pm ) ( 0.5^{circ} mathrm{C} . ) The temperature difference and the error there is ( mathbf{A} cdot 30^{circ} C pm 1^{circ} C ) B ( cdot 70^{circ} mathrm{C} pm 0.5^{circ} mathrm{C} ) ( mathbf{c} cdot 30^{circ} C pm 0.5^{circ} mathrm{C} ) D. ( 70^{circ} mathrm{C} pm 1^{circ} mathrm{C} ) | 11 |

4 | Calculate the mean % error in five observations: 80.0,80.5,81.0,81.5,82 A . ( 0.75 % ) в. ( 1.74 % ) c. ( 0.38 % ) D. ( 1.38 % ) | 11 |

5 | A vernier callipers has its main scale of ( 10 mathrm{cm} ) equally divided into 200 equal parts. Its vernier scale of 25 divisions coincides with ( 12 mathrm{mm} ) on the main scale. The least count of the instrument is – ( A cdot 0.020 mathrm{cm} ) B. ( 0.002 mathrm{cm} ) c. ( 0.010 mathrm{cm} ) D. ( 0.001 mathrm{cm} ) | 11 |

6 | 12. A small steel ball of radius r is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity n. After some time the velocity of the ball attains a constant value known as terminal velocity Dr. The terminal velocity depends on (i) the mass of the ball m, (ii) n, (iii) r and (iv) acceleration due to gravity 8. Which of the following relations is dimensionally correct? (b) vra nr ηr mg (c) V« nrmg (d) vya mgr | 11 |

7 | A spherometer has 10 threads per ( mathrm{cm} ) and its circular scale has 50 divisions. The least count of the instrument is A . ( 0.01 mathrm{cm} ) B. ( 0.02 mathrm{cm} ) c. ( 0.002 mathrm{cm} ) D. ( 0.2 mathrm{cm} ) | 11 |

8 | The number of times a standard quantity is present in a given physical quantity, is called its units A. True B. False c. Ambiguous D. Data insufficient | 11 |

9 | At the surface of a certain planet, acceleration due to gravity is one quarter of that on earth. A brass ball is transported to this planet, then find the percentage change in its weight. A . ( 50 % ) B . 25% c. ( 75 % ) % D. 100% | 11 |

10 | A light year is unit of A. acceleration B. distance ( mathbf{C} cdot ) speed D. velocity E . time | 11 |

11 | What is the order of magnitude of the distance of a quasar from us if light takes 2.9 billion years to reach us? A ( cdot 2.7 times 10^{25} mathrm{m} ) В. ( 10^{25} mathrm{m} ) ( mathbf{c} cdot 10^{2} 4 m ) D. ( 3 times 10^{25} m ) | 11 |

12 | The wavelength of light is 589 nm. What is its order of magnitude in metre? | 11 |

13 | des 7. A physical parameter a can be determined by measuring bºcB the parameters b, c, d and e using the relation a = If the maximum errors in the measurement of b, c, d and e are b, %, c, %, d, % and e, %, then the maximum error in the value of a determined by the experiment is (a) (b1++d, + e) % (b) (b, +C1-dı- e,) % (c) (ab, + Bcı – yd- de)% (d) (ab, + Bc7 + ydı + de % | 11 |

14 | Arrange the following lengths in descending order of their magnitudes: Light year, parsec end Astronomical unit | 11 |

15 | ( mathbf{A} ) is the interval from one noon to the next noon A. mean solar day B. solar day c. lunar day D. day | 11 |

16 | A student measure the height h of a convex mirror using spherometer. The legs of the spherometer are ( 4 mathrm{cm} ) apart and there are 10 divisions per cm on its linear scale and circular scale has 50 divisions. The student takes 2 as linear scale division and 40 as circular scale division. What is the radius of curvature of the convex mirror? A. ( 9.06 mathrm{cm} ) в. ( 20.66 mathrm{cm} ) ( c .5 .66 mathrm{cm} ) D. ( 9.66 mathrm{cm} ) | 11 |

17 | To find the convergence factor between the units of same physical quantities in two different system | 11 |

18 | The length ( ell, ) breadth b and thickness of a block of wood were measured with the help of a measuring scale. The results with permissible errors are ( ell= ) ( 15.12 pm 0.01 mathrm{cm}, mathrm{t}=5.28 pm 0.01 mathrm{cm} . b= ) ( 10.15 pm 0.01 mathrm{cm} . ) The percentage error in volume upto proper significant figures is : A . 0.28% B . 0.36% c. ( 0.48 % ) D . 0.64% | 11 |

19 | The distance covered by a body in time ( (mathbf{5 . 0} pm mathbf{0 . 6}) ) is ( (mathbf{4 0 . 0} pm mathbf{0 . 4}) mathrm{m} . ) Calculate the speed of the body. Also determine the percentage error in the speed. | 11 |

20 | To determine the Youngs modulus of a wire,the formula is ( boldsymbol{Y}=frac{boldsymbol{F}}{boldsymbol{A}} times frac{boldsymbol{Delta} boldsymbol{L}}{boldsymbol{L}} ) where ( L= ) length, ( A= ) area of cross section of the wire, ( Delta mathrm{L}= ) change in length of the wire when stretched with a force F. The conversion factor to change it from CGS to MKS system is : ( A cdot 1 ) B. 10 c. ( 0 . ) D. 0.01 | 11 |

21 | With due regards to significant figures ( 5.4 times 0.125 ) is equal to: A. 0.7 B. 0.68 c. 0.667 D. none of these | 11 |

22 | If the mass of a body is ( 12.1 mathrm{g} ) and its density is ( 2.2 mathrm{g} / mathrm{cc}, ) its volume is. ( mathbf{A} cdot 5.5 mathrm{cm}^{3} ) B. 8 сс c. 11 сс D. 55 сс | 11 |

23 | The time taken by the earth to complete one rotation about is own axis is called A. Solar day B. Mean solar day c. 1 hour D. None | 11 |

24 | The radius of the sun is ( 7 times 10^{8} m ) and its mass is ( 2 times 10^{30} k g ). What is the order of magnitude of density of the sun? ( mathbf{A} cdot 1.4 times 10^{3} k g / m^{3} ) В ( cdot 10^{7} k g / m^{3} ) c. ( 1.5 times 10^{3} k g / m^{3} ) D. ( 10^{3} k g / m^{3} ) | 11 |

25 | The volume of a sphere is ( 1.76 mathrm{cm}^{3} ). The volume of 25 such spheres according to the idea of significant figures in ( mathrm{cm}^{3} ) is A . 44.00 B. 44.0 ( c cdot 44 ) D. 4.4 | 11 |

26 | Assertion A number 2.746 rounded off to three significant figures is ( 2.75, ) while the number 2.743 would be 2.74 Reason In rounding off the uncertain digits, the preceding digit is raised by 1 if the insignificant digit to be dropped is more than 5 and is left unchanged if the latter is less than 5 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 |

27 | The number of significant figures in 500.06 is A .2 B. 3 ( c cdot 5 ) D. o | 11 |

28 | An equation is given here ( left(boldsymbol{P}+frac{boldsymbol{a}}{boldsymbol{V}^{2}}right)= ) ( b frac{9}{V} ) where ( P= ) pressure, ( V= ) Volume and ( theta= ) Absolute temperature. if ( a ) and ( b ) are constants, the dimension of a will be ( mathbf{A} cdotleft[M L^{-5} T^{-1}right] ) B ( cdotleft[M L^{5} T^{1}right] ) C ( cdotleft[M L^{5} T^{-2}right] ) D ( cdotleft[M L^{-1} L^{5} T^{2}right] ) | 11 |

29 | 01.05 10. The length of a cylinder is measured with a meter rod having least count 0.1 cm. Its diameter is measured with vernier calipers having least count 0.01 cm. Given that length is 5.0 cm and radius is 2.0 cm. The percentage error in the calculated value of the volume will be (a) 1% (b) 2% (c) 3% (d) 4% | 11 |

30 | The dimensional formula of effective torsional constant of spring is A ( cdot M^{1} L^{2} T^{-3} ) B. ( M^{1} L^{2} T^{-2} A^{-} ) c. ( M^{1} L^{2} T^{-2} ) D. ( M^{0} L^{0} T^{0} ) | 11 |

31 | If dimensions of length are expressed ( operatorname{as} G^{x} C^{y} h^{z} ) where ( G, C ) and ( h ) are universal gravitational constant, speed of light and Planck’s constant respectively. Then This question has multiple correct options ( mathbf{A} cdot x=y ) B. ( x=z ) c. ( y=-3 / 2 ) D. ( z=1 / 2 ) | 11 |

32 | For the four sets of three measured physical quantities as given below. Which of the following options is correct? ( (i) A_{1}=24.36, B_{1}=0.0724, C_{1}= ) ( mathbf{2 5 6 . 2} ) ( (i i) A_{2}=24.44, B_{2}=16.082, C_{2}= ) ( mathbf{2 4 0 . 2} ) ( (i i i) A_{3}=25.2, B_{3}=19.2812, C_{3}= ) ( mathbf{2 3 6 . 1 8 3} ) ( (i v) A_{4}=25, B_{4}=236.191, C_{4}= ) 19.5 A. ( A_{1}+B_{1}+C_{1}<A_{3}+B_{3}+C_{3}<A_{4}+B_{4}+C_{4}< ) ( A_{2}+B_{2}+C_{2} ) B . ( A_{4}+B_{4}+C_{4}<A_{1}+B_{1}+C_{1}<A_{3}+B_{3}+C_{3}< ) ( A_{2}+B_{2}+C_{2} ) c. ( A_{4}+B_{4}+C_{4}<A_{1}+B_{1}+C_{1}=A_{2}+B_{2}+C_{2}= ) ( A_{3}+B_{3}+C_{3} ) D. ( A_{1}+B_{1}+C_{1}=A_{2}+B_{2}+C_{2}=A_{3}+B_{3}+C_{3}= ) ( A_{4}+B_{4}+C_{4} ) | 11 |

33 | The Sl unit of form factor is : A. Ampere B. volt c. watt D. none of the above | 11 |

34 | Energy cannot be measured in A . ( J s ) в. ( W ) s ( c . k W h ) D. erg | 11 |

35 | A solution is to be kept between ( 68^{circ} ) F and ( 77^{circ} ) F. What is the range in temperature in degree Celsius (C) if the Celcius / Fahrenheit (F) conversion formula is given by ( mathbf{F}=frac{9}{5} mathbf{C}+mathbf{3 2} ? ) | 11 |

36 | Find out the unit and dimentions of the the vander waal’s equation pressure P,V is volume and ( R ) is gas constant: | 11 |

37 | The dimension of the universal constant of gravitation ( G ) is ( mathbf{A} cdotleft[M L^{2} T^{-1}right] ) B. ( left[M^{-1} L^{3} T^{-2}right] ) ( mathbf{c} cdotleft[M^{-1} L^{2} T^{-2}right] ) D・ ( left[M L^{3} T^{-2}right] ) | 11 |

38 | Which row shows a quantity and an incorrect unit? ( begin{array}{ll}text { quantity } & text { unit } \ text { A. efficiency } & text { no unit } \ text { B. moment of force } & N m^{-1} \ text {C. momentum } & text { Ns } \ text { D. work done } & text { J }end{array} ) | 11 |

39 | Four students measure a time interval that is known to be 1.734 s. The measurement recorded by each student is shown. Which measurement is the most accurate? A . 1 s в. 1.7 s c. 1.83 s D. 1.604 s | 11 |

40 | You measure two quantities as ( A= ) ( mathbf{1 . 0 m} pm mathbf{0 . 2 m}, boldsymbol{B}=mathbf{2 . 0 m} pm mathbf{0 . 2 m .} mathrm{We} ) should report correct value for ( sqrt{A B} ) as A. ( 1.4 m pm 0.4 m ) в. ( 1.41 m pm 0.15 m ) c. ( 1.4 m pm 0.3 m ) D. ( 1.4 m pm 0.2 m ) | 11 |

41 | 14. The dimensional formula for electric potential is a. [M LT-3A-] b. [MLT-3A-‘] c. [M LT-3K-] d. none of these | 11 |

42 | Which scale is best for measuring the length of a ladybug? A. Millimeters B. Centimeters c. Meters D. Kilometers | 11 |

43 | If a star is ( 5.2 times 10^{16} ) m away. What is the parallax angle in degrees? A ( cdot 1.67 times 10^{-4} ) degrees B . ( 1.67 times 10^{-5} ) degrees c. ( 0.67 times 10^{-4} ) degrees D. ( 2.3 times 10^{-4} ) degrees | 11 |

44 | 15. If the speed v of a particle of mass m as function of time is given by v = @A sin where A has dimension of length. (a) the argument of trigonometric function must be a dimensionless quantity (b) Dimensional formula of wis LT- (c) Dimensional formula of k is MLT-2 (d) Dimensional formula of is T m | 11 |

45 | The distance between two atoms in a molecule is measured in order of Angstrom A. True B. False | 11 |

46 | Which of the following is the most precise instrument for measuring length? A. Metre rod of least count ( 0.1 mathrm{cm} ) B. Vernier calipers of least count ( 0.01 mathrm{cm} ) c. Screw gauge of least count ( 0.001 mathrm{cm} ) D. None of these | 11 |

47 | Assertion 100 years make 10 decades. Reason Every century is divided into 10 decades. 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 |

48 | When a wave traverses a medium the displacement of a particle located at ( x ) at a time is given by ( y=a sin (b t-c x) ) where a, band are constants of the wave, which of the following is a quantity with dimensions? A. ( frac{y}{a} ) в. ( b t ) c. ( c x ) D. ( frac{b}{c} ) | 11 |

49 | The units of force, velocity and energy are 100 dyne, ( 10 mathrm{cms}^{-1} ) and 500 erg respectively. The units of mass, length and time are: ( A cdot 5 g, 5 mathrm{cm}, 5 mathrm{s} ) B. 5 g, ( 5 mathrm{cm}, 0.5 ) s c. ( 0.5 mathrm{g}, 5 mathrm{cm}, 5 mathrm{s} ) D. 5 g, ( 0.5 mathrm{cm}, 5 mathrm{s} ) | 11 |

50 | Which of the following does not have the dimensions of force? A. Gravitational Potential gradient B. Energy gradient c. weight D. Rate of change of momentummmmmm | 11 |

51 | What is the dimensional formula of universal gravitational’G’? The gravitational force of attraction between two objects of masses ( m_{1} ) and ( m_{2} ) seperated by a distance ( mathrm{d} ) is given by ( boldsymbol{F}=frac{boldsymbol{G} boldsymbol{m}_{1} boldsymbol{m}_{2}}{boldsymbol{d}_{2}} . ) Where ‘G’ is the universal gravitational constant B . ( left[M^{-1} L^{2} T^{2}right. ) c. ( left[M^{-1} L^{3} T^{-2}right] ) D. ( left[M^{2} L^{2} T^{-2}right. ) | 11 |

52 | 7. The circular scale of a screw gauge has 50 divisions and pitch of 0.5 mm. Find the diameter of sphere. Main scale reading is 2. A S NA O ARODB: 5 25 BO8698 M Fig. 1.9 a. 1.2 mm c. 2.20 mm b. 1.25 mm d. 2.25 mm (IIT JEE, 2006) | 11 |

53 | The dimensions of torque are ( mathbf{A} cdotleft[M L^{3} T^{-3}right] ) В ( cdotleft[M L^{-1} T^{-1}right] ) c. ( left[M L^{2} T^{-2}right] ) D ( cdotleft[M T^{-2}right] ) | 11 |

54 | The value of ( 500.0 m+600 m m ) with due regards to significant figures is: ( mathbf{A} .501 m ) в. 500.6 т c. ( 500.600 m ) D. none of these | 11 |

55 | The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate by using the formula ( boldsymbol{P}= ) ( boldsymbol{F} / boldsymbol{l}^{2} . ) If the maximum errors in the measurement of force and length are ( 4 % ) and ( 2 %, ) respectively, then what is the maximum error in the measurement of pressure? | 11 |

56 | A LASER is a source of very intense, monochromatic, and unidirectional beam oflight. These properties of a laser light can be exploited to measure long distances.The distance of the Moon from the Earth has been already determined very preciselyusing a laser as a source of light. A laser light beamed at the Moon takes 2.56 s to return after reflection at the Moons surface. How much is the radius of the lunar orbit around the Earth? | 11 |

57 | Fill in the blanks type Planck’s constant has dimensions | 11 |

58 | 2. A gas bubble from an explosion under water oscillates with a period T proportional to pºd’E’, where p is the static pressure, d is the density of water, and E is the total energy of the explosion. Find the values of a, b, and c. (IIT JEE, 1981) 2 . 1 . 1 | 11 |

59 | The ratio of the weight of a body to its mass gives the at the given place A. acceleration due to gravity B. velocity due to gravity c. force due to gravity D. displacement due to gravity | 11 |

60 | 4. The SI unit of inductance, henry, can be written as a. Weber/ampere b. Volt-second/ampere c. Joule/(ampere) d. Ohm-second | 11 |

61 | The unit of Planck’s constant is equivalent to that of : A. energy B. angular momentum c. velocity D. force | 11 |

62 | Dimensional methods provide three major advantages in verification, derivation and changing the system of units. Any empirical formula that is derived based on this method has to be verified and proportionality constants found by experimental means. The presence or absence of certain factors – non dimensional constants or variables cannot be identified by this method. So every dimensionally correct relation cannot be taken as perfectly correct. The energy of an SHM is dependent on mass ( m ), frequency ( f ), and amplitude ( A ) of oscillation. The relation is ( mathbf{A} cdot M f / A^{2} ) B. ( M f A^{-2} ) ( mathbf{c} cdot M f^{2} A^{-2} ) ( mathbf{D} cdot M f^{2} A^{2} ) | 11 |

63 | If the radius of a sphere is found to be ( 3 c m pm 0.01 c m, ) find the percentage error in the determination of its volume. | 11 |

64 | Match the following two columns. Column I Column I | 11 |

65 | Assertion Weight of solid in air is ( mathrm{W} ) and in water is ( T=frac{2 W}{3} ) Then relative density of solid is 3.0 Reason Relative density of any solid is given by ( R D=frac{text { Weight in air }}{text { Change in weight in water }} ) 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 |

66 | The radius of a thin wire is ( 0.16 mathrm{mm} ). The area of cross-section taking significant figure into consideration in square millimeters is? A . 0.0804 B. 0.080 ( c cdot 0.08 ) D. 0.080384 | 11 |

67 | Count total number of S.F. in ( 6.020 times ) ( 10^{23} ) A .4 B. 3 ( c cdot 6 ) D. 7 | 11 |

68 | 15. A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s, 95 s and 92 s. If the minimum division in the measuring clock is 1 s, then the reported mean time should be (a) 92 +2 s (b) 92 £ 5.0 s (c) 92 – 1.8 s (d) 92 + 3 (JEE Main 2016) | 11 |

69 | ‘The year 2016 will have February of ( ldots ) days’. A . 28 B. 29 c. 28.5 D. 30 | 11 |

70 | State whether true or false. Equal masses of iron and common salt have different volume. A. True B. False | 11 |

71 | Write down the number of significant figures in the following value. ( mathbf{0 . 0 6 2 8 c m} ) A . four B. three c. ( t w o ) D. one | 11 |

72 | Determine the number of significant figure in the following. ( mathbf{0 . 2 3 7 0} mathbf{m} ) | 11 |

73 | 8. A physical quantity x depends on quantities y and z as follows: x = Ay + B tan (Cz), where A, B, and C are constants. Which of the followings do not have the same dimensions? a. x and B b. Cand z c. y and BIA d. x and A | 11 |

74 | 23. The value of acceleration due to gravity is 980 cm , What will be its value if the unit of length is kilometer and that of time is minute? | 11 |

75 | Which of the following is the parallax angle in the shown diagram? 4 B. ( c ) 2 | 11 |

76 | Boiling point of water on the Celsius scale is A ( cdot 0^{circ} mathrm{C} ) B. 212^{ } ( mathrm{C} ) c. ( 32^{circ} mathrm{C} ) D. ( 100^{circ} mathrm{C} ) | 11 |

77 | Brine has a density of ( 1.2 g / c c .40 c c ) of it are mixed with ( 30 c c ) of water. The density of solution is A ( .2 .11 g / c c ) в. ( 1.11 g / c c ) c. ( 12.2 g / c c ) D. ( 20.4 g / c c ) | 11 |

78 | 16. The frequency (n) of vibration of a string is given as n= 14, where T is tension and I is the length of n=21m vibrating string, then the dimensional formula is a. [MºLT] b. [M°°T°) c. [ML-17° d. [ML°T° | 11 |

79 | Match the column ( begin{array}{lll} & text { । } & text { ॥ } \ text { A } & text { Force } & text { erg } \ text { B } & text { Pressure } & text { Kgm } / s^{2} \ text { C } & text { Power } & J s^{-1} \ text {D } & text { Energy } & text { Nm }^{-2}end{array} ) | 11 |

80 | A unit is so chosen that the numerical value of a measurement is as small as possible. True=1; False=0 | 11 |

81 | The equation of a plane progressive wave is given by ( boldsymbol{y}=boldsymbol{A} sin (boldsymbol{omega} boldsymbol{t}-boldsymbol{k} boldsymbol{x}) ) The dimension of ( (omega / k) ) is that of A. frequency B. velocity c. wavelength D. inverse of velocity | 11 |

82 | State similarities and differences between the laboratory thermometer and the clinical thermometer. | 11 |

83 | The speed of a car increases uniformly from zero to ( 10 mathrm{ms}^{-1} ) in ( 2 s ) and then remain constant. a. Find the distance travelled by the car in the first two seconds. b. Find the distance travelled by the car in next two seconds. c. Find the total distance travelled in 4 s. | 11 |

84 | Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are ( 3 % ) each, then error in the value of resistance of the wire is A . ( 6 % ) B. Zero c. ( 1 % ) D. 3% | 11 |

85 | What are the number of signification numbers in ( 0.00034800 ? ) How much is one astronomical unit in meters? | 11 |

86 | A wire has a mass ( 0.3 pm 0.003 g ) and length ( 6 pm 0.06 ) cm. The maximum percentage error in the measurements of its linear mass density is:- A ( . ) B. 2 ( c cdot 3 ) D. 4 | 11 |

87 | Which of the following numbers has least number of significant figures? A. 0.80760 00 0066600 B. 0.80200 ( c .0 .08076 ) D. 80.267 | 11 |

88 | The radius of a sphere is ( 1.41 mathrm{cm} ). Its volume to an appropriate number of significant figures is then ( mathbf{A} cdot 11.73 mathrm{cm}^{3} ) B . 11.736 ( c m^{3} ) ( mathrm{c} cdot 11.7 mathrm{cm}^{3} ) D. ( 117 mathrm{cm}^{3} ) | 11 |

89 | The mass of a box measured by a grocer’s balance is 2.3 kg.two gold pieces of masses ( 20.15 g ) and ( 20.17 g ) are added to the box. The total mass of the box is: A . ( 2.30 mathrm{kg} ) в. ( 2.340 mathrm{kg} ) c. ( 2.34 mathrm{kg} ) D. ( 2.3 mathrm{kg} ) | 11 |

90 | e following quantities has its unit as newton- 19. Which of the following quantiti second? a. Energy b. Torque c. Momentum d. Angular momentum | 11 |

91 | decimeter is ( _{–} ) megameter. A ( cdot 10^{-7} ) B. ( 10^{-6} ) ( mathrm{c} cdot 10^{-5} ) D. ( 10^{-8} ) | 11 |

92 | When two liquid of same volume but different densities ( rho_{1} ) and ( rho_{2} ) are mixed together, then the density of the mixture is A ( cdot frac{p_{1}+p_{2}}{2} ) B . ( p_{1}+p_{2} ) c. ( frac{2 p_{1} p_{2}}{p_{1}+p_{2}} ) D. ( 2 p_{1}+2 p_{2} ) | 11 |

93 | The accuracy in the measurement of the diameter of hydrogen atom measured as ( 1.06 times 10^{-10} mathrm{m} ) is : A .0 .01 В. ( 106 times 10^{-10} ) c. ( frac{1}{106} ) D. ( 0.01 times 10^{-10} ) | 11 |

94 | The dimensional formula for Young’s modulus is : ( mathbf{A} cdotleft[M L^{-1} T^{-2}right] ) B ( cdotleft[M^{0} L T^{-2}right] ) ( mathbf{c} cdotleft[M L T^{-2}right] ) D. ( left[M L^{2} T^{-2}right] ) | 11 |

95 | Choose the correct answer from the following This question has multiple correct options A. An area of one square centimetre is ( 10^{4} ) times greater than one square metre. B. 1 hour 18 min is equal to 3618 seconds C. Sl unit of volume is cubic metres. D. Metre is the standard unit to measure length. | 11 |

96 | The side of a cube is 2.5 metre, the volume of the cube to the correct significant figures is : A . 15 B. 16 ( c cdot 1.5 ) D. 1.6 | 11 |

97 | The force of interaction between two atoms is given by ( boldsymbol{F}=boldsymbol{alpha} boldsymbol{beta} exp left(-frac{boldsymbol{x}^{2}}{boldsymbol{alpha k t}}right) ) where ( x ) is the distance, ( k ) is the Boltzman constant and ( boldsymbol{T} ) is temperature and ( alpha ) and ( beta ) are two constants. The dimension of ( beta ) is A ( cdot M^{2} L^{2} T^{-2} ) B. ( M^{2} L T^{-4} ) c. ( M^{0} L^{2} T^{-4} ) D. ( M L T^{-2} ) | 11 |

98 | 1 nano metre ( (1 mathrm{nm}) ) is equal to ( mathbf{A} cdot 10^{-7} mathrm{m} ) В. ( 10^{-9} mathrm{m} ) ( mathbf{c} cdot 10^{9} mathrm{m} ) D. None of these | 11 |

99 | Select correct definition of light year: A. The distance travelled by the light in a year B. The distance travelled by the atoms in a year C. The distance travelled by the earth in a year D. The distance travelled by the sound in a year | 11 |

100 | The order of magnitude of 0.00701 is: A . – B. – – ( c cdot 2 ) D. | 11 |

101 | A calorimeter has mass 100 g and specific heat ( 0.1 mathrm{kcal} / mathrm{kg}^{circ} mathrm{C} ). It contains 250 gm of liquid at ( 30^{circ} C ) having specific heat of ( 0.4 mathrm{kcal} / mathrm{kg}^{circ} mathrm{C} ). If we drop a piece of ice of mass ( 10 mathrm{g} ) at ( 0^{circ} mathrm{C} ) What will be the temperature of the mixture? | 11 |

102 | Show that the frictional error in the ( n^{t h} ) power of a quantity is equal to n times the fractional error in the quantity itself State the general rule for evaluating the error in a combined calculation. | 11 |

103 | 5. A body travels uniformly a distance of (13.8 +0.2) m in a time (4.0 +0.3) s. The velocity of the body within error limits is (a) (3.45 + 0.2) ms- (b) (3.45 + 0.3) ms-1 (c) (3.45 + 0.4) ms-1 (d) (3.45 +0.5) ms- | 11 |

104 | The dimensional formula of ( frac{1}{2} mu_{0} H^{2}left(mu_{0}right. ) Permeability of free space and ( mathrm{H} ) magnetic field intensity) is: A ( cdot M L T^{-1} ) B. ( M L^{2} T^{-2} ) c. ( M L^{-1} T^{-2} ) D. ( M L^{2} T^{-1} ) | 11 |

105 | If ( y=sin theta, ) then for what value of ( theta, ) the relative error in y is minimum? A ( cdot 90^{circ} ) в. ( 30^{circ} ) ( c cdot 0^{0} ) D. ( 45^{circ} ) | 11 |

106 | Á is equal to: ( mathbf{A} cdot 0.1 mathrm{nm} ) B . ( 10^{-10} mathrm{cm} ) ( mathbf{C} cdot 10^{-8} m ) ( mathbf{D} cdot 10^{-4} mu ) | 11 |

107 | Show dimensionally that the expression, ( boldsymbol{Y}=frac{boldsymbol{M} boldsymbol{g} boldsymbol{L}}{boldsymbol{pi} boldsymbol{r}^{2} boldsymbol{l}} ) is dimensionally correct, where Y is Young’s modulus of the material of wire, Lis length of wire, Mg is the weight applied on the wire and I is the increase in the length of the wire. | 11 |

108 | 11. Which of the following represents a volt? (a) Joule/second (b) Watt/Ampere (c) Watt/Coulomb (d) Coulomb/Joule 11 1 | 11 |

109 | A calorie is a unit of heat energy and its value is ( 4.18 mathrm{J} ) where ( 1 J=1 k g m^{2} s^{-2} ) Suppose we use a new system of units in which unit of mass equals ( boldsymbol{alpha} ) kg, the unit of length equals ( beta mathrm{m} ) and the unit of the time is ( gamma ) sec. Then the value of a calorie in the new system of units is then A ( cdot ) 4.18 ( frac{gamma^{2}}{alpha beta^{2}} ) B. ( 4.18 frac{alpha beta^{2}}{gamma^{2}} ) c. ( 4.18 frac{gamma^{2}}{alpha} ) D. ( 4.18 frac{beta^{2}}{alpha gamma^{2}} ) | 11 |

110 | If ( mathrm{E}, mathrm{m}, mathrm{I} ) and ( mathrm{G} ) denote energy, mass, angular momentum and gravitational constant respectively, then the quantity ( left(frac{E l^{2}}{m^{5} G^{2}}right) ) has the dimensions of then A. mass B. length ( c . ) time D. angle. | 11 |

111 | 3. What is the number of significant figures in 0.310×10°? (2) 2 (b) 3 (c) 4 (d) 6 | 11 |

112 | Match the physical quantities given in Column I with suitable dimensions expressed in Column II. Column Column I II a) Angular momentum g) ( M L^{2} T^{-2} ) Latent heat h) ( M L^{2} Q^{-2} ) b) Torque ( M L^{2} T^{-1} ) c) i) d) Capacitane j) ( M L^{3} T^{-1} Q^{-2} ) Inductance k) e) ( M^{-1} L^{-2} T^{2} Q^{2} ) ( L^{-2} T^{2} Q^{2} ) ( f) ) Resistivity ।) ( L^{2} T^{-2} ) ( T ) A. a-i, b-l, c-g, d-k, e-h, f-j B. a-l, b-i, c-k, d-g, e-j, f-h c. a-i, b-l, c-h, d-j, e-g, f-k D. a-h, b-j, c-g, d-k, e-i ( f- ) | 11 |

113 | A star’s distance ( (d) ) and its parallax angle ( (p) ) are related to each other as: A ( cdot d=frac{1}{p} ) в. ( d=frac{1}{p^{2}} ) c. ( _{p}=frac{1}{d^{2}} ) D. none of these | 11 |

114 | A physical quantity ( times ) is calculated from the relation ( boldsymbol{x}=frac{boldsymbol{a}^{2} boldsymbol{b}^{3}}{boldsymbol{c} sqrt{boldsymbol{d}}} ) percentage error in ( a, b, c ) and ( d ) are ( 2 %, 1 %, 3 % ) and ( 4 % ) respectively. What is the percentage error in ( x ? ) | 11 |

115 | The decrease in percentage error: A. increases the accuracy B. does not effect the accuracy C. decreases the accuracy D. both ( A ) and ( C ) | 11 |

116 | If the magnitude of mass is 1 kg that of time is 1 minute and that of acceleration due to gravity is ( 10 mathrm{ms}^{-2} ) the magnitude of energy injoule A ( .3 .6 times 10^{5} ) В. ( 3.6 times 10^{-5} ) c. ( 3.6 times 10^{2} ) D. 10 | 11 |

117 | toppr Q Type your question current which is then converted into a digital readout on the display. The electric circuit gives a current of 2.0 mA when a weight of 30N is applied, and a current of ( 0.5 mathrm{mA} ) when a weight of ( 5 mathrm{N} ) is applied Which calibration curve could represent | 11 |

118 | Assertion A light-year is a distance that light travels with velocity of ( 3 times 10^{8} m s^{-1} ) in one year. Reason Light year is the unit for measuring time. 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 |

119 | In particular system of unit, if the unit of mass becomes twice and that of time becomes half, then 8 Joules will be written as A . 16 B. ( c cdot 4 ) D. 64 | 11 |

120 | Dimensions of impulse are: A ( . M L T^{-2} ) В. ( M^{2} L T^{-1} ) ( mathrm{c} cdot M L T^{-1} ) D. ( M L^{2} T^{-1} ) | 11 |

121 | 6. a. Calculate the area enclosed by a circle of radius 0.56 m to the correct number of significant figures. b. Calculate the area enclosed by a circle of diameter 1.12 m to the correct number of significant figures. A1 2010- 6A10-5.1 | 11 |

122 | The density of a body is represented by the expression: Where ( V ) is the volume and ( M ) is the mass of a body A ( cdot D=frac{V}{M} ) B. D=M X V c. ( _{D}=frac{1}{M times V} ) D. ( D=frac{M}{V} ) | 11 |

123 | Are senses reliable for accurate measurement? A . True B. False | 11 |

124 | The percentage errors in the measurement of the length (L) and breadth (B) of a rectangle are ( ell ) and ( b % ) respectively. Then the percentage error in the calculation of the area will be ( A cdot(mid b) % ) B. (1+b)% ( c cdot(L+1)(B+b) ) D. Lb+BL | 11 |

125 | 3. Dimensional formula ML-T2 does not represent the physical quantity (a) Young’s modulus of elasticity (b) Stress (c) Strain (d) Pressure | 11 |

126 | 10. If the velocity of light (c), gravitational constant (G) and Planck’s constant (h) are chosen as fundamental units, then the dimensions of mass in new system is (a) (1/2G1/21/2 (b) c1/2G1/2h-1/2 (c) 01/2G-1/2h1/2 (d) c-1/2G1/2h1/2 | 11 |

127 | The relation between force ‘ ( F ) ‘ and density ‘ ( d ) ‘ is ( F=frac{x}{sqrt{d}} . ) The dimensions of ( x ) are: ( mathbf{A} cdotleft[L^{-1 / 2} M^{3 / 2} T^{-2}right] ) B ( cdotleft[L^{-1 / 2} M^{1 / 2} T^{-2}right] ) ( mathbf{C} cdotleft[L^{-1} M^{3 / 2} T^{-2}right] ) D・ ( left[L^{-1} M^{1 / 2} T^{-2}right] ) | 11 |

128 | State the S.I. units of mass and weight. A. gand kg B. kg and g c. ( mathrm{kg} ) and ( mathrm{N} ) D. ( mathrm{N} ) and ( mathrm{kg} ) | 11 |

129 | The nearest star to our solar system is 4.29 light years away. How much is this distance in terms of parsecs? How much parallax would this star (named Alpha Centauri) show when viewed from two locations of the Earth six months a part in its orbit around the Sun? | 11 |

130 | The period of oscillation of a simple pendulum is ( T=2 pi sqrt{L / g} . ) Measured value of ( L ) is ( 20.0 mathrm{cm} ) known to ( 1 mathrm{mm} ) accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of 1 sec resolution. What is the accuracy in the determination of | 11 |

131 | If ( L ) and ( R ) denote inductance and resistance then dimension of ( L / R ) is ( mathbf{A} cdotleft[M^{0} L^{0} T^{0}right] ) в. ( left[M^{0} L^{0} Tright] ) ( mathbf{c} cdotleft[M^{2} L^{0} T^{2}right] ) D cdot ( left[M L T^{2}right]^{2} ) | 11 |

132 | 7. Suppose refractive index u is given as B u= A+ 22 where A and B are constants and 2 is wavelength, then dimensions of B are same as that of a. Wavelength b. Volume c. Pressure d. Area | 11 |

133 | If the dimension of a physical quantity is given by ( left[M^{a} L^{b} T^{c}right] ) then the physical quantity will be A. acceleration, if ( a=1, b=-1, c=-2 ) B. velocity, if ( a=1, b=0, c=-1 ) c. pressure, if ( a=1, b=-1, c=-2 ) D. force, if ( a=0, b=-1, c=-2 ) | 11 |

134 | The radius of a sphere is measured to be ( 5.3 pm 0.1 mathrm{cm} . ) Calculate the percentage error in the measurement of its volume. A . ( 3.45 % ) B . ( 5.66 % ) % c. ( 2.4 % ) D. 1.05%%%% | 11 |

135 | If ( I ) is regarded as the fourth dimension, then the dimensional formula of charge in terms of current ( boldsymbol{I} ) is ( mathbf{A} cdotleft[I T^{2}right] ) B . ( left[I^{0} T^{0}right] ) c. ( left[I^{-1} T^{0}right] ) D. [IT] | 11 |

136 | What is the minimum and maximum unit of measurement of mass? | 11 |

137 | Count total number of significant figures in 3500 ( mathbf{A} cdot mathbf{1} ) B. 2 ( c cdot 3 ) ( D ) | 11 |

138 | The radius of a sphere is measured to be ( (2.1 pm 0.5) c m . ) Calculate its surface area with error limits. | 11 |

139 | Which of the statements are false? A. The units of physical quantity represented by volume is ( c m^{3} ) B. The unit of physical quantity represented by mass is ( operatorname{ton} ) C the work done is represented by ( frac{k g}{m} ) D. The unit of physical quantity represented by weight is Newton | 11 |

140 | Illustration 1.22 The period of oscillation of a simple pendulum in the experiment is recorded as 2.63 2.56 4,242 s, 2.71 s, and 2.80 s. Find the average absolute error, | 11 |

141 | If ( P ) represents radiation pressure, represents speed of light and ( mathrm{Q} ) represents radiation energy striking a unit area per second, then non-zero integers ( x, y ) and ( z, ) such that ( P^{x} Q^{y} c^{z} ) is dimensionless, may be A. ( x=1, y=1, z=1 ) B. ( x=1, y=-1, z=1 ) c. ( x=-1, y=1, z=1 ) D. ( x=0, y=0, z=0 ) | 11 |

142 | Illustration 1.8 Let us check the dimensional correctness of the relation v = u + at. | 11 |

143 | A thin bar magnet of length ( 2 L ) is bent at the mid-point so that the angle between them is ( 60^{circ} . ) The new length of the magnet is A ( cdot sqrt{2} L ) B. ( sqrt{3} L ) ( c cdot 2 L ) D. ( L ) | 11 |

144 | Which of the following is not a vector quantity? A. Distance B. Displacement c. Acceleration D. Velocity | 11 |

145 | A SONAR (sound navigation and ranging) uses ultrasonic waves to detect and locate objects under water In a submarine equipped with a SONAR the time delay between generation of a probe wave and the reception of its echo after reflection from an enemy submarine is found to be 77.0 s. What is the distance of the enemy submarine? (Speed of sound in water ( =1450 m s^{-1} ) ). | 11 |

146 | A body of weight ( W_{1} ) is suspended from the celling of a room through a chain of weight ( W_{2} ) The earth pulls the chain by a force equal to: ( A cdot W_{2} ) B. ( left(W_{1}+W_{2}right) / 2 ) ( mathbf{c} cdotleft(W_{1}+W_{2}right) ) D. ( W_{1} times W_{2} ) | 11 |

147 | The dimensions of Planck’s constant are ( mathbf{A} cdotleft[M L^{-3} T^{-1}right] ) в. ( left[M L^{-2} T^{-1}right] ) ( mathbf{c} cdotleft[M^{0} L^{-1} T^{-3}right. ) D・ ( left[M L^{2} T^{-1}right] ) | 11 |

148 | The wavelength of light of a particular colour is 5800 A. What is its order of magnitude in meter? | 11 |

149 | 1 fermi is equal to ( mathbf{A} cdot 10^{-15} mathrm{m} ) B. ( 10^{15} mathrm{m} ) ( mathbf{C} cdot 10^{-12} mathrm{m} ) ( D cdot 10^{12} m ) | 11 |

150 | The best method to reduce random error is A. To change the instrument used for the measurement B. To take help of experienced observer C. To repeat the experiment many times and to take the average results D. None of the above | 11 |

151 | If weight of an object in air ( W_{a} ) is ( (10.0 pm 0.1) g ) and its weight in water ( W_{L} ) is ( (5.00 pm 0.2) g, ) then percentage error in its relative density is? ( left(text { Relativedensity }=frac{W_{a}}{W_{a}-W_{L}}right) ) A . ( 2 % ) B. ( 5 % ) c. ( 7 % ) D. ( 1.5 % ) | 11 |

152 | 1 x and a stand for distance, then for what value of n is the given equation dimensionally correct? The equation dx sin-1 a. O c. -2 b. 2 d. 1 | 11 |

153 | If surface tension (S), Moment of inertia (I) and Planck’s constant (h), were to be taken as the fundamental units, the dimensional formula for linear momentum would be :- A ( cdot S^{3 / 2} I^{1 / 2} h^{0} ) B. ( S^{1 / 2} I^{1 / 2} h^{0} ) c. ( S^{1 / 2} I^{1 / 2} h^{-1} ) ( mathbf{D} cdot S^{1 / 2} I^{3 / 2} h^{-1} ) | 11 |

154 | If the force is given by ( boldsymbol{F}=boldsymbol{a} boldsymbol{t}+boldsymbol{b} boldsymbol{t}^{2} ) with ( boldsymbol{t} ) as time. The dimensions of a and b are: ( mathbf{A} cdotleft[M L T^{-4}right],left[M L T^{-2}right. ) B . ( left[M L T^{-3}right],left[M L T^{-4}right] ) C ( cdotleft[M L^{2} T^{-3}right],left[M L^{2} T^{-2}right] ) D cdot ( left[M L^{2} T^{-3}right],left[M L^{3} T^{-4}right] ) | 11 |

155 | If velocity ‘ ( V ) ‘, kinetic energy ‘ ( k ) ‘ and time ‘T” are taken as fundamental quantities, then the dimensional formula of surface tension is: A ( cdot K V^{2} T^{2} ) B. ( K V^{-2} T^{-2} ) c. ( K^{2} V^{2} T^{-2} ) D. ( K^{2} V^{-2} T^{-2} ) | 11 |

156 | Write the number of significant digits in ( 6.032 ? ) A . 4 B. 3 ( c cdot 2 ) D. none of the above | 11 |

157 | What is the order of magnitude of one light year? ( mathbf{A} cdot 10^{15} m ) B . ( 10^{10} m ) c. ( 9.2 times 10^{15} mathrm{m} ) D. ( 10^{16} m ) | 11 |

158 | By rounding off, (a) 20.96 and ( (b) ) 0.0003125 to three significant figures, we get A ( cdot 21.0 ; 312 times 10^{-4} ) B . ( 21.0 ; 3.125 times 10^{-4} ) c. ( 2.10 ; 3.12 times 10^{-4} ) D. ( 210 ; 3.12 times 10^{-4} ) | 11 |

159 | Parallax method is based on which of the following principle? A. Disparity B. Lutz Kelker bias c. Trilateration D. Triangulation | 11 |

160 | Which of the following relations for the displacement of a partide undergoing simple harmonic motion is not correct dimensionally? A ( cdot Y=a sin frac{2 pi t}{T} ) B. ( Y=a cos omega t ) c. ( Y=frac{a}{T} sin left(frac{t}{a}right. ) ( V=a sqrt{2}left(sin frac{2 pi t}{T}+cos frac{2 pi t}{T}right) ) | 11 |

161 | State the uses of dimensional analysis using dimensions, show that 1 joule ( = ) ( mathbf{1 0}^{mathbf{7}} ) erg OR Explain different types of errors in measurement. An object was weighed by a physical balance and following readings were obtained | 11 |

162 | INICIIUDICIUL 18. The dimensions of power are f lere | 11 |

163 | Work done is a ( _{–}- ) – quantity A. vector B. scaler c. constant D. fundamental | 11 |

164 | Anushka noted down the following observations in her practical book. i. Weight of the metal block in air ( =260 ) ( boldsymbol{g}-boldsymbol{w} boldsymbol{t} ) i ( i . ) Weight of the metal block in water ( = ) ( 220 g-w t ) iii. Weight of the metal block in salt water ( =180 g-w t ) Find the relative density of the salty water | 11 |

165 | 1 ULUU 35. The time dependence of a physical quantity P is given by P= Pre-or’, where a is a constant and t is time. Then constant a is/has a. Dimensionless b. Dimensions of T-4 c. Dimensions of P d . Dimensions of T | 11 |

166 | The Sl unit of atmospheric pressure is A. Barye B. Pascal c. Dyne D. None of the above | 11 |

167 | 1. To find the distance d over which a signal can be seen clearly in foggy conditions, a railways engineer uses dimensional analysis and assumes that the distance depends on the mass density pof the fog, intensity (power/ area) S of the light from the signal and its frequency f. The engineer finds that d is proportional to Sh. The values of nis (JEE Advanced, 2014) | 11 |

168 | If ( L ) has the dimensions of length, ( V ) that of potential and ( epsilon_{0} ) is the permittivity of free space then quantity ( L V epsilon_{0} ) has the dimensions of: A . current B. charge c. resistance D. voltage | 11 |

169 | Accuracy defines nearness of a measured value to the standard or true value. If true enter 1 else enter 0 | 11 |

170 | Which of the following is not the name of a physical quantity? A. Displacement B. Momentum c. Meter D. Torque | 11 |

171 | State whether given statement is True or False. The standard quantity used for comparison is called fundamental quantity. A. True B. False | 11 |

172 | The standard quantity used for comparison is called A. Scale B. Unit c. Magnitude D. All | 11 |

173 | Convert the given measurement into the bigger unit. Then, multiply by the second number and find the products. ( 43 g 732 m g ) and 18 | 11 |

174 | Which of the following is not a characteristic of the standard unit? A. It should be of convenient size B. It should change with respect to space and time c. It should not be perishable D. It should be eerily reproducible | 11 |

175 | The S.I. unit of pressure is pascal A. True B. False | 11 |

176 | 1 Newton ( =K ) dyne, then what is the value of ( boldsymbol{K} ) ? A . 1 B. ( 10^{2} ) ( c cdot 10^{5} ) D. 10 | 11 |

177 | The diameter of a sphere is measured with an instrument having least count ( 0.001 mathrm{cm} . ) The diameter is ( 1.933 mathrm{cm} . ) The radius to correct significant figures will be: A . ( 0.9665 mathrm{cm} ) B. ( 0.966 mathrm{cm} ) c. ( 0.967 mathrm{cm} ) D. none of these | 11 |

178 | 8. If energy (E), velocity (v) and force (F) be taken as fundamental quantity, then what are the dimensions of mass (a) Ev2 (b) Ev-2 (c) Fv-1 (d) Fv-2 | 11 |

179 | A cube has a side of length ( 1.2 times 10^{-2} . ) Its volume upto correct significant figures is A . ( 1.7 times 10^{-6} m^{3} ) В . ( 1.73 times 10^{-6} m^{3} ) ( mathbf{c} cdot 1.78 times 10^{-6} m^{3} ) D. ( 1.732 times 10^{-6} mathrm{m}^{3} ) | 11 |

180 | ILLUSTRATION 33.3 Read the screwgauge shown below: 20 E 40 TITIE mm Object thickness (1/2 mm = 6.5 mm + 14 Object thickness = 4.5 mm +39 om 20/1/2 mm 50 = 4.89 mm (50 | 11 |

181 | ( mathbf{1} N=Z k g f ) (approx.), then what is the value of ( Z ) ? A . ( 0 . ) B. ( c cdot 10 ) D. | 11 |

182 | Illustration 1.2 Convert 1 joule to ergs. | 11 |

183 | 6. The mass and volume of a body are 4.237 g and 2.5 cm, respectively. The density of the material of the body in correct significant figures is (a) 1.6048 g cm. (b) 1.69 g cm (c) 1.7 g cm (d) 1.695 g cm 1: | 11 |

184 | A thermometer placed under the armpit always shows a lower value than the actual body temperature. Which type of error is demonstrated in its measurement. | 11 |

185 | The length and breadth of a metal sheet are ( 3.124 m ) and ( 3.002 m ) respectively. The area of this sheet upto four correct significant figure is : A ( .9 .378 mathrm{m}^{2} ) В. ( 9.37 m^{2} ) c. ( 9.378248 mathrm{m}^{2} ) D. ( 9.3782 mathrm{m}^{2} ) | 11 |

186 | 11. A Vernier callipers has 1 mm marks on the main scale. It has 20 equal divisions on the vernier scale, which match with 16 main scale divisions. For this Vernier callipers, the least count is a. 0.02 mm b. 0.05 mm c. 0.1 mm d. 0.2 mm (IIT JEE, 2010) | 11 |

187 | A solid cube has volume ( (1000 pm 0.3) ) ( c m^{3} . ) The side of the cube is A ( cdot(10 pm 0.1) ) ст в. ( (10 pm 0.01) ) ст c. ( (10 pm 0.001) mathrm{cm} ) D. ( (10 pm 0.003) ) с ( m ) | 11 |

188 | State whether True or False: Vector Quantities obey law of ordinary algebra. A. True B. False | 11 |

189 | The radius of a hydrogen atom is ( 0.5 dot{A} ). Find the order of magnitude of volume of one hydrogen atom is ( 10^{-10 x} ). The value of ( x ) is: | 11 |

190 | The dimension of the ratio of angular momentum to linear momentum is ( mathbf{A} cdot L^{0} ) B . ( L^{1} ) c. ( L^{2} ) D. ( M L T ) | 11 |

191 | DUw all CUITUL 11. If L = 2.331 cm, B = 2.1 cm, then L + B = (a) 4.431 cm (b) 4.43 cm (c) 4.4 cm (d) 4 cm TJI ion | 11 |

192 | Which of the following pairs has not the same dimension? A. Stress; pressure B. Force; surface tension c. Impulse; linear momentum D. Frequency; angular velocity | 11 |

193 | 3. Some physical quantities are given in Column 1 and some possible SI units in which these quantities may be expressed are given in Column II. Match the physical quantities in Column I with the units in Column II. i. a. (volt) (co ii. Column I GMM, 3RTIM Flq?B? GMJR, Column II (volt) (coulomb) (metre) b. (kilogram) (metre) (second) ? c. (meter)? (second) 2 d. (farad) (volt)?(kg)-! iv. where G is universal gravitational constant; M, mass of the earth; M, mass of sun; Re, radius of the earth; R, universal gas constant; T, absolute temperature; M, molar mass; F, force; 9, charge; B, magnetic field. (IIT JEE, 2007) | 11 |

194 | 2. The dimensions of constant b are a. MLT-2 b. ML-T-2 c. L. d. Lý | 11 |

195 | 5. A wire of length/=6+0.06 cm and radius r=0.5 +0.005 cm has mass m=0.3 + 0.003 g. Maximum percentage error in density is b. 2 c. 1 d. 6.8 (UIT JEE, 2004) domingos ho 2000) | 11 |

196 | Hertz is the unit of A. wavelength B. amplitude c. frequency D. None of these | 11 |

197 | Turpentine oil is flowing through a tube of length I and radius r. The pressure difference between the two ends of the tube is p. The viscosity of oil is given ( boldsymbol{eta}=frac{boldsymbol{p}left(boldsymbol{r}^{2}-boldsymbol{x}^{2}right)}{boldsymbol{4} boldsymbol{v} boldsymbol{l}}, ) where ( mathbf{v} ) is velocity of oil at a distance ( x ) from the axis of the tube. The dimensional formula of viscosity is ( mathbf{A} cdotleft[M^{0} L^{0} T^{0}right] ) B . ( left[M^{1} L^{-1} T^{-1}right] ) ( mathbf{c} cdotleft[M L^{2} T^{-1}right] ) D cdot ( left[M^{-1} L^{-1} T^{1}right] ) | 11 |

198 | Let ( left[epsilon_{0}right] ) denote the dimensional formula of the permittivity of vacuum. If ( boldsymbol{M}= ) mass, ( boldsymbol{L}= ) length ( , boldsymbol{T}=boldsymbol{t} ) ime and ( boldsymbol{A}= ) electric current, then ( mathbf{A} cdot epsilon_{0}=left[M^{-1} L^{-3} T^{2} Aright] ) B . ( epsilon_{0}=left[M^{-2} L^{-3} T^{4} A^{2}right. ) C ( . epsilon_{0}=left[M^{1} L^{2} T^{1} A^{2}right] ) D. ( epsilon_{0}=left[M^{1} L^{2} T^{1} Aright] ) | 11 |

199 | C. 4% d. 5% 75. The relative density of a material is found by weighing the body first in air and then in water. If the weight in air is (10.0 + 0.1) gf and the weight in water is (5.0+ 0.1) gf, then the maximum permissible percentage error in relative density is a. I b . 2 c. 3 d. 5 10_ 1.foberianlantiri | 11 |

200 | UN) a. ) potential energy of a particle varies with distance Ax1/2 x as U= =, where A and B are constants. The , where A and x² + Blo dimensional formula for A x B is a. M’/7/27-2 b. ML11/21-2 c. M'[5127-2 d. M 19/2T-2 | 11 |

201 | A student performs an experiment for determination of ( gleft(=frac{4 pi^{2} l}{T^{2}}right), l approx 1 m ) and he commits an error of ( Delta l ). For T he takes the time of n oscillations with the stop watch of least count ( Delta T ) and the commits a human error of 0.1 sec. For which of the following data, the measurement of ( g ) will be most accurate? A. ( Delta l-5 m m, Delta T-0.2 sec , n-10 ), Amplitude of oscillation ( 5 mathrm{mm} ) B. ( Delta l=5 m m, Delta T-0.2 ) sec ( , n-20, ) Amplitude of oscillation- ( 5 mathrm{mm} ) c. ( Delta l-5 m m, Delta T-0.1 sec , n- ) ( 20, ) Amplitude of oscillation ( 1 mathrm{mm} ) D. ( Delta l ) -1mm, ( Delta T ) -0.1sec, ( n-50 ), Amplitude of oscillation- ( mathrm{mm} ) | 11 |

202 | Count total number of S.F. in ( 1.60 times ) ( mathbf{1 0}^{-19} ) ( A cdot 3 ) B. 5 ( c cdot 2^{-} ) D. 22 | 11 |

203 | 2. Select the pair whose dimensions are same (a) Pressure and stress (6) Stress and strain (c) Pressure and force (d) Power and force | 11 |

204 | 29. It has been observed that velocity of ripple waves produced in water depends upon their wavelength (a), density of water (P), and surface tension (T). Prove that ve o Tlap. | 11 |

205 | The number of significant figures in ( mathbf{5 . 6 9} times mathbf{1 0}^{mathbf{1 5}} mathbf{k g} ) is ( mathbf{A} cdot mathbf{1} ) B . 2 ( c .3 ) D. 18 | 11 |

206 | The farthest objects in our universe discovered by modern astronomers are so distant that light emitted by them takes billions of years to reach the Earth. These objects (known as quasars) have many puzzling features, which have not yet been satisfactorily explained. What is the distance in ( k m ) of a quasar from which light takes 3.0 billion years to reach us? | 11 |

207 | 27. The period of oscillation of a simple pendulum is T = 21 . L is about 10 cm and is known to 1 mm accuracy. The period of oscillation is about 0.5 s. The time of 100 oscillations is measured with a wrist watch of 1 s resolution. What is the accuracy in the determination of ?? | 11 |

208 | Calculate area enclosed by a circle of diameter ( 1.06 ~ m ) to correct number of significant figures. A. ( 0.883 m^{2} ) В. ( 0.0883 m^{2} ) с. ( 0.88333 m^{2} ) D. ( 0.8830 m^{2} ) | 11 |

209 | ‘POISE’ is the: A. C.G.S. unit of surface tension B. C.G.S. unit of viscosity C. M.K.S. unit of viscosity D. M.K.S. unit of surface energy | 11 |

210 | A substance of mass ( 49.53 g ) occupies ( 1.5 mathrm{cm}^{3} ) of volume. The density of the substance (in ( g c m^{-3} ) ) with correct number of significant figures is : A. 3.3 B. 3.302 c. 3.30 D. 3.300 | 11 |

211 | The mass of the liquid flowing per second per unit area of cross-section of the tube is proportional to (pressure difference across the ends) ( ^{n} ) and (average velocity of the liquid ) ( ^{m} ). Which of the following relations between ( boldsymbol{m} ) and ( n ) is correct? A ( . m=n ) B. ( m=-n ) c. ( m^{2}=n ) D. ( m=-n^{2} ) | 11 |

212 | со портоосоо 6. If a kilogram, ß meter, and y second are the fundamental units, 1 cal can be expressed in new units as [1 cal = 4.2 J] a. a’ By b. alß?y c. 4.2a-‘ß d. 4.20 ß?y face | 11 |

213 | The energy ( E ) of an oscillating body in simple harmonic motion depends on its mass ( m ), frequency ( n ) and amplitude ( a ) Using the method of dimensional analysis find the relation between ( boldsymbol{E}, boldsymbol{m}, boldsymbol{n} ) and ( boldsymbol{a} ) A ( cdot E=k m n^{2} a^{2}(k=a text { dimensionless constant }) ) B . ( E=k m^{2} n^{2} a^{3}(k=a text { dimensionless constant }) ) C . ( E=k m^{1} n^{1} a^{2}(k=a text { dimensionless constant }) ) D. ( E=k m^{2} n^{1} a^{2}(k=a text { dimensionless constant }) ) | 11 |

214 | What is meant by Precision? | 11 |

215 | Write the number of significant digits in 100.10 | 11 |

216 | Which of the following is used as ( mathrm{S} ) I prefixes: A. Femto B. Atto c. zepto D. All of the above | 11 |

217 | Which of the following quantities has a unit but dimensionless? A. Strain B. Reynolds number c. Angular displacement D. Poisson’s ratio | 11 |

218 | Angular diameter of the Jupiter is ( 36 ” . ) the distance of the Jupiter form the Earth is 825 million kilometer, find the diameter of Jupiter. | 11 |

219 | A student measure the thickness of an object by three different instruments and gets the result as ( 0.5 mathrm{cm}, 0.50 mathrm{cm} ) ( 0.500 mathrm{cm} . ) State the one which is more accurate. A . ( 0.5 mathrm{cm} ) B. ( 0.50 mathrm{cm} ) c. ( 0.500 mathrm{cm} ) D. All the measurements are equally accurate. | 11 |

220 | Force ( boldsymbol{F} ) is given in terms of time ( t ) and distance ( boldsymbol{x} ) by ( boldsymbol{F}=boldsymbol{A} boldsymbol{operatorname { s i n }} boldsymbol{C t}+boldsymbol{B} cos boldsymbol{D} boldsymbol{x} ) Then the dimensions of ( frac{A}{B} ) and ( frac{C}{D} ) are given by : A ( cdot M L T^{-2}, M^{circ} L^{circ} T^{-} ) B. ( M L T^{-2}, M^{circ} L^{-1} T^{c} ) c. ( M^{circ} L^{circ} T^{circ}, M^{circ} L^{1} T^{-1} ) D. ( M^{circ} L^{1} T^{-1}, M^{circ} L^{circ} T^{circ} ) | 11 |

221 | If the absolute errors in two physical quantities ( A ) and ( B ) are ( a ) and ( b ) respectively, then the absolute error in the value of ( A B ) is: [Disclaimer: The options in the original question have been changed to match with the actual solution / answer. ( mathbf{A} cdot b B-a A ) B. ( a A+b B ) ( mathbf{c} cdot a B+b A ) ( mathbf{D} cdot a B-b A ) | 11 |

222 | The three physical quantities ( x, y ) and ( z ) have units ( g quad c m^{2} s^{-5}, g s^{-1} ) and ( c m s^{-2} ) respectively. The relation between ( x, y ) and ( z ) is A ( cdot x=y z^{2} ) B . ( x=y^{2} x ) c. ( y^{2}=x z ) D. ( z=x^{2} y ) | 11 |

223 | Fill in the blank: When the measured quantity is not dimensionless, is a dimensionless error. A. gross error B. absolute error c. instrumental error D. relative error | 11 |

224 | 11. The dimensions of magnetic field in M, L, T and C (Coulomb) is giving as (a) [MT-c-‘i (b) [MT-2 0-1 (c) [MLT-C- (d) [MT2 C-21 (AIEEE 2008) | 11 |

225 | In order to find the density of a solid we have to first know its : ( A . ) mass and area B. weight and area c. shape and volume D. mass and volume | 11 |

226 | 17. The dimensional formula of angular velocity is | 11 |

227 | In terms of basic units of mass(M), length(L), time(T) and charge(Q), the dimensions of magnetic permeability of vacuum ( left(mu_{0}right) ) would be? ( mathbf{A} cdotleft[M L Q^{-2}right] ) B . ( left[L T^{-1} Q^{-1}right] ) ( mathbf{c} cdotleft[M L^{2} T^{-1} Q^{-2}right] ) D ( cdotleft[L T Q^{-1}right] ) | 11 |

228 | If ‘OLYMPIAD’ is the unit of a new physical quantity. How many times more then 1 Mega OLYMPIAD when compered to ten milli OLYMPIAD? | 11 |

229 | The value of ( frac{pi}{mathbf{5 3 . 2}} ) with due regard to significant figures is (Use ( boldsymbol{pi}=mathbf{3 . 1 4} ) ) : A .0 .0591 B. 0.0590 c. 0.590 D. 0.5906 | 11 |

230 | In the relation ( frac{d y}{d x}=2 omega sin left(omega t+phi_{0}right) ) the dimensional formula for ( omega t+phi_{0} ) is A . MLT в. мLт c. мL ( ^{0} neg^{0} ) D. M^ ( ^{0} ) L ( ^{0} ) Т ( ^{0} ) | 11 |

231 | Illustration 1.14 Experiments reveal that the velocity v of water waves may depend on their wavelength 2, density of water p, and acceleration due to gravity g. Establish a possible relation between v and 2, 8, p. | 11 |

232 | Volume is a derived quantity of A. Length B. Mass c. Density D. Relative density | 11 |

233 | With the increase in temperature, the density of a substance, in general, A. increases B. decreases c. first increase then decreases D. first decrease then increases | 11 |

234 | The initial and final temperatures are recorded as ( (40.6 pm 0.3)^{0} C ) and ( (50.7 pm 0.2)^{0} C . ) The rise in temperature is: A ( cdot 10.1^{0} C ) B ( cdot(10.1 pm 0.3)^{0} C ) c. ( (10.1 pm 0.5)^{0} C ) D. ( (10.1 pm 0.1)^{0} C ) | 11 |

235 | When ( 24.25 times 10^{3} ) is rounded off to three significant figures, it becomes: A .242 B. 243 c. ( 244 times 10^{2} ) D. ( 24.2 times 10^{3} ) | 11 |

236 | 2. The dimensions of the quantities in one (or more) of the following pairs are the same. Identify the pair(s). a. Torque and work b. Angular momentum and work c. Energy and Young’s modulus d. Light year and wavelength (IIT JEE, 1986) raduate le dimensional formule of the pommittitur | 11 |

237 | If energy( ( E ) ), velocity ( (V) ) and force ( (F) ) be taken as fundamental quantity, then what are the dimension of mass? A ( . E V^{2} ) B. ( E V^{-2} ) ( mathbf{c} cdot F V^{-1} ) D. ( F V^{-2} ) | 11 |

238 | Assertion The value of 1 Micron is equal to ( 10^{-5} m ) Reason Micron is the unit for measuring microscopic distance. 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 |

239 | In the screw gauge, the screw should be moved in the same direction to avoid which of the following error? A . Zero error B. Parallel error c. Backlash error D. Index error | 11 |

240 | The length of a simple pendulum is determined by measuring the length of thread / by meter scale and radius of bob r by Vernier callipers. The effective length ( L ) is obtained by adding the two i.e., ( boldsymbol{L}=boldsymbol{l}+boldsymbol{r} . ) If ( boldsymbol{l}=mathbf{1 0 2 . 4} mathrm{cm} ) and ( boldsymbol{r}= ) ( 2.24 mathrm{cm}, ) how would you use quote ( L ) in proper significant figures? ( A cdot 104.64 mathrm{cm} ) B. 104.6 cm ( c .105 mathrm{cm} ) D. ( 1.0464 mathrm{cm} ) | 11 |

241 | The edge of a cube is ( a=1.2 times 10^{-2} m ) Then its volume will be recorded as : A ( cdot 1.7 times 10^{-6} m^{3} ) В. ( 1.70 times 10^{-6} m^{3} ) C. ( 1.70 times 10^{-7} m^{3} ) D. ( 1.78 times 10^{-6} m^{3} ) | 11 |

242 | According to theory of significant figures the value of ( sqrt{mathbf{3 . 0}} ) is: A. 1.732 в. 1.7 c. 1.73 D. 1.8 | 11 |

243 | The length of a curved surface is measured by using A. metre scale only B. thread only c. both metre scale and thread D. none of these | 11 |

244 | What do you mean by dynamic spherometer? A. An instrument used to measure radius of curvature directly B. An instrument used to measure radius of curvature more accurately than usual spherometer. C. An instrument used to measure radius of curvature indirectly D. None of these | 11 |

245 | The wrong unit conversion among the following is ( mathbf{A} cdot 1 ) angstrom ( =10^{-10} m ) B. 1 fermi ( =10^{-15} mathrm{m} ) C ( . ) 1 light year ( =9.46 times 10^{15} mathrm{m} ) D. 1 astronomical unit ( =1.496 times 10^{-11} mathrm{m} ) | 11 |

246 | Which of the following length measurements is most precise and why? a. ( 2.0 mathrm{cm} ) b. ( 2.00 c m ) c. ( 2.000 mathrm{cm} ) | 11 |

247 | 28. The error in the measurement of the radius of a sphere is 0.5%. What is the permissible percentage error in the measurement of its (a) surface area and (b) volume? -LL1. 1 | 11 |

248 | – T U | 14. Which of the following measurement is most precise? (a) 5.00 mm (b) 5.00 cm (c) 5.00 m (d) 5.00 km | 11 |

249 | State, for each of the following physical quantities, if it is a scalar or a vector: volume, mass, speed, acceleration, density, number of moles, velocity, angular frequency, displacement, angular velocity. | 11 |

250 | 25. The radius of the earth is 6.37 x 10ºm and its mass is 5.975 x 10-4 kg. Find the earth’s average density to appropriate significant figures. | 11 |

251 | Arrange the following physical quantities in the decreasing order of dimension of length. I. Density II. Pressure III. Power IV. Impulse ( mathbf{A} cdot ) ।, ॥, ॥ा, ।V B. ॥II, II, I, IV c. ( 1 mathrm{V}, ) । ॥ ( , ) ॥) D. III, IV, II, I | 11 |

252 | Name The Sl unit of mass. | 11 |

253 | 1. Force F and density d are related as F = find the dimensions of a and B. B+Tg, then | 11 |

254 | The radius of a hydrogen atom is ( 0.5 dot{A} ) Find the order of magnitude of volume of 1 mole hydrogen in ( m^{3} . ) Given that 1 mole of hydrogen has ( 6.02 times 10^{23} ) hydrogen atoms. A ( cdot 2 times 10^{-4} m^{3} ) B. ( 10^{-3} m^{3} ) ( mathbf{c} cdot 10^{-7} m^{3} ) D. ( 10^{-2} m^{3} ) | 11 |

255 | In SI system, the unit of work is | 11 |

256 | Explain the statement “relative density of brass is ( 8.4 ” ) | 11 |

257 | Derived units can be defined in terms of one or two of all the fundamental units in them. A. True B. False | 11 |

258 | The diameter of a cylinder is ( 0.55 mathrm{cm} ) its length is ( 1.35 mathrm{cm} . ) Its volume is ( c m^{3} ) A . 0.3240 в. 0.32 c. 0.324 D. 3.2 | 11 |

259 | The diameter of a sphere is ( 3.34 m ) Calculate its volume with due regard to significant figures. | 11 |

260 | In an experiment, the following observations were recorded: ( boldsymbol{L}=mathbf{2 . 8 2 0 m}, boldsymbol{M}=mathbf{3 . 0 0 k g}, boldsymbol{l}= ) ( 0.087 c m, ) diameter ( D=0.041 c m ) Taking ( g=9.81 m s^{-2} ) and using the formula, ( Y=frac{4 M g}{pi D^{2} l}, ) find the maximum permissible error in ( Y ) | 11 |

261 | Which of the following measurement is most precise? A. ( 5.00 mathrm{mm} ) B. ( 5.00 mathrm{cm} ) c. ( 5.00 m ) D. ( 5.00 mathrm{km} ) | 11 |

262 | The velocity ‘ ( V ) ‘ of a particle varies with distance ‘ ( x ) ‘ and time ‘t’ as ( boldsymbol{V}= ) ( boldsymbol{A} sin (boldsymbol{B} boldsymbol{x}) cos (boldsymbol{C} boldsymbol{t}) ) when ( boldsymbol{A}, boldsymbol{B}, boldsymbol{C} ) are constants, then ( frac{boldsymbol{A} boldsymbol{B}}{boldsymbol{C}} ) will have the dimensions of: A. velocity B. acceleration c. pressure D. strain | 11 |

263 | If ( x, v ) and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period ( T, ) then which of the following do not change with time? A ( cdot frac{a T}{v} ) В . ( a T+2 pi v ) c. ( a^{2} T^{2}+4 pi^{2} v^{2} ) D. ( a T ) E . ( v T ) | 11 |

264 | Pick out the only vector quantity in the following list: Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction, charge. | 11 |

265 | Choose the correct statement from the following options. This question has multiple correct options A. If the zeroeth division of the vernier and main scales of a standard vernier callipers coincide then measured length is equal to the actual length. B. The least count of vernier scale is ( 0.9 mathrm{mm} ) C. The length of a one vernier scale division is greater than that of one main scale division. D. The internal jaws are used for measuring the internal diameter of a hollow cylinder | 11 |

266 | The standard quantity used for comparison is called a A. unit B. quality c. pick D. coin | 11 |

267 | A point mass of ( 10 k g ) is placed at the centre of Earth. The weight of the point mass will be A. zero B. Infinite c. Less than zero D. ( 10 k g ) | 11 |

268 | Which one of the following pair of quantities has same dimension? A. Force and work done B. Momentum and impulse c. Pressure and force D. Surface tension and stress | 11 |

269 | According to Joule’s law of heating, heat produced ( boldsymbol{H}=boldsymbol{l}^{2} boldsymbol{R} boldsymbol{t}, ) where I is current ( mathrm{R} ) is resistance, and ( mathrm{t} ) is time. If the errors in the measurement of I,R and t are ( 3 %, 4 % ) and ( 6 %, ) respectively, find error in the measurement of H. | 11 |

270 | Which one of the following is not a fundamental SI unit? A. Ampere B. Candela c. Newton D. Kelvin | 11 |

271 | 6. If the time period (T) of vibration of a liquid drop depends on surface tension (S), radius (r) of the drop and density (p) of the liquid, then the expression of T is (a) T=k/pr3/s (b) T = k/p1/2,3 15 (c) T=k/pr3/s1/2 (d) None of these | 11 |

272 | A physical quantity ( rho ) is related to four variables ( boldsymbol{alpha}, boldsymbol{beta}, boldsymbol{gamma} ) and ( boldsymbol{eta} ) as ( boldsymbol{rho}=frac{boldsymbol{alpha}^{3} boldsymbol{beta}^{2}}{sqrt{boldsymbol{gamma} boldsymbol{eta}}} ) The percentage errors of measurements in ( boldsymbol{alpha}, boldsymbol{beta}, boldsymbol{gamma} ) and ( boldsymbol{eta} ) are ( 1 %, 3 %, 4 % ) and ( 2 % ) respectively. Find the percentage error in ( rho ) A . 6.5% B. 12% c. 21% D. 26% | 11 |

273 | What are the rules (sign conventions) to use ( S . I ) units? | 11 |

274 | How many light years Alpha Centauri away from the Earth? A . 1.29 B. 2.29 c. 3.29 D. 4.29 | 11 |

275 | Which of the following is the most accurate instrument? A. A scale whose least count is ( 0.1 mathrm{cm} ) B. A vernier caliper in which 10 vernier divisions coincide with 9 main scale divisions whose main scale is millimetre scale. C. A microscope in which 50 vernier divisions coincide with 49 main scale divisions whose main scale is millimetre scale. D. A microscope in which 50 vernier divisions coincide with 49 main scale divisions and in the main scale there are 20 divisions in ( 1 mathrm{cm} ) | 11 |

276 | If the length of the cylinder is measured as ( 25 mathrm{mm} ), the diameter is ( 3.09 mathrm{cm} ) and mass of the cylinder is measured as ( 50.0 mathrm{gm} ) find the density of the cylinder in proper significant figures.(in ( boldsymbol{g} boldsymbol{m} / boldsymbol{c m}^{3} boldsymbol{)} ) A . 2.700 ( g m / c m^{3} ) в. 2.7 ( g m / c m^{3} ) c. ( 0.27 g m / c m^{3} ) D. ( 2.70 g m / c m^{3} ) | 11 |

277 | 14. If P represents radiation pressure, c represents speed of light and represents radiation energy striking a unit area per second, then non-zero integers x, y and z such that P’Q’C is dimensionless are (a) x = 1, y = 1, z =-1 (b) x= 1, y=-1, z = 1 | 11 |

278 | Which of the following is correct for dimensionless quantity? A. It does not exist B. It always has a unitt c. It never has a unit D. It may have a unitt | 11 |

279 | 26. The dimensions of the formula of capacitance are a. [M-‘L-2 TA?) b. [M-L TAPI c. [M-‘L-214A?] d. [M-L2T2 A21 | 11 |

280 | 5. A student when discussing the properties of a medium (except vacuum) writes Velocity of light in vacuum = Velocity of light in medium This formula is a. Dimensionally correct b. Dimensionally incorrect c. Numerically incorrect d. Both a and c | 11 |

281 | 30. In an experiment on the determination of Young’s Modulus of a wire by Searle’s method, following data is available: Normal length of the wire (L) = 110 cm Diameter of the wire (d) = 0.01 cm Elongation in the wire (1) = 0.125 cm This elongation is for a tension of 50 N. The least counts for corresponding quantities are 0.01 cm, 0.00005 cm, and 0.001 cm, respectively. Calculate the maximum error in calculating the value of Young’s modulus (Y). iment for determining the role of clorotion | 11 |

282 | 5 3. Let [8] denote the dimensional formula of the permittivity of vacuum and [M] that of the permeability of vacuum. If M=mass, L = length, T=time, and I=electric current, then a. [x] = M’L-3721 b. [ɛ] =M’L-31412 c. [M] = MLT-21-2 d. (Mo] = ML?T-1 (IIT JEE, 1998) | 11 |

283 | The number of significant figures in 3400 is : A . 4 B. ( c cdot 3 ) ( D ) | 11 |

284 | If length of a pendulum of wall clock is increased by ( 0.1 % ), then find error in time per day. | 11 |

285 | millimeter is ( mathbf{A} cdot 10^{-15} ) B ( cdot 10^{-14} ) c. ( 10^{-13} ) D. ( 10^{-16} ) | 11 |

286 | Illustration 1.12 A famous relation in physics relates the moving mass m to the rest mass m, of a particle in terms of its speed v and the speed of light c. (This relation first arose as a consequence of the special theory of relativity due to Albert Einstein). A boy recalls the relation almost correctly but forgets mo where to put the constant c. He writes m= – (1 – 2 1/2 . Guess where to put the missing c. e 13 | 11 |

287 | c. y = x do y=-x 59. A physical quantity x is cal Calculate the percentage error in measuring x when the percentage errors in measuring a, b, and care 4,2, and 3%, respectively. a. 7% b. 9% c. 11% d. 9.5% 60 CV | 11 |

288 | When a symbol is used to represent a unit named after a person, lower-case letters are used. A. True B. False | 11 |

289 | *. ***Minum V uru wvl Idul i al 15 16. The dimensions of universal gravitational constant are | 11 |

290 | 15. The effective length of a simple pendulum is the sum of the following three: length of string, radius of bob, and length of hook. In a simple pendulum experiment, the length of the string, as measured by a meter scale, is 92.0 cm. The radius of the bob combined with the length of the hook, as measured by a vernier callipers, is 2.15 cm. The effective length of the pendulum is a. 94.1 cm b. 94.2 cm c. 94.15 cm d. 94 cm | 11 |

291 | 11. If force (F), length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be (a) FL-T2 (6) Fl-T2 (c) Fl-11 (d) FL?T? | 11 |

292 | A physical quantity ( x ) can be dimensionally represented in terms of ( M, L ) and ( T ) is ( x=M^{a} L^{b} T^{c} . ) The quantity time A. may be dimensionally represented in terms of ( x, M ) and ( L ) if ( c neq 0 ) B. may be dimensionally represented in terms of ( x, M ) and ( L ) if ( c=0 ) c. may be dimensionally represented in terms of ( x, M ) and ( L ), irrespective of ( c ) D. may be dimensionally represented in terms of ( x, M ) and ( L ) | 11 |

293 | ( mathrm{cm} ) make ( 3.25 mathrm{km} ) | 11 |

294 | In the formula ( X=3 Y Z^{2}, X ) and ( Z ) have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSQ system are A. -2 in mass, -2 in length, 4 in time and 5 in charge. B. – 3 in mass, – 2 in length, 4 in time and 4 in charge. c. -4 in mass, -5 in length, 4 in time and 4 in charge. D. -3 in mass, -2 in length, 8 in time and 7 in charge. | 11 |

295 | – musu UNI! 2. A physical quantity X is related to four measurable quantities a, b, c and d as follows X = ab3c12d. The percentage error in the measurement of a, b, c and d are 190,2%, 3% and 4%, respectively. What is the percentage error in quantity X? I | 11 |

296 | Consider the following pairs of quantities: 1. Young’s modulus; pressure 2. Torque; energy 3. Linear momentum; work 4. Solar day; light year In which cases are the dimensions, within a pair, same? A . 1 and 3 B. 1 and 4 ( c cdot 1 ) and 2 D. 2 and 4 | 11 |

297 | vur urut 113 Pom 14. The length and breadth of a rectangle are (5.7 + 0.1) cm and (3.4 + 0.2) cm. Calculate the area of the rectangle with error limits. | 11 |

298 | Velocity’ ( V^{prime} ) of a wave is directly proportional to modulus of elasticity’ ( boldsymbol{E} ) and density ‘ ( d ) of a medium. The expression of ‘ ( V ) ‘ using dimensional analysis is: A ( cdot V=frac{E}{sqrt{d}} ) B. ( V=frac{sqrt{E}}{d} ) c. ( v=sqrt{frac{E}{d}} ) D. ( V=sqrt{E D} ) | 11 |

299 | Which of the following statements is/are false? A. Mass, speed and energy are scalar quantities B. Momentum, force and torque are vector quantities C. Distance is a scalar quantity but displacement is a vector quantity D. A vector has only magnitude, whereas a scalar has both magnitude and direction | 11 |

300 | A cup of water was heated for eight minutes. The thermometers show the temperature readings during different times of heating.What can be the temperature when it is heated for three minutes? ( A, 2 ) в. 28 ( c cdot 28 ) D. 30 | 11 |

301 | The dimension of magnetic field in ( M, L, T ) and ( C ) (Coulomb) is given as: A. ( M L T^{-1} C^{-1} ) B. ( M T^{2} C^{-2} ) c. ( M T^{-1} C^{-1} ) D. ( M L T^{-2} C^{-1} ) | 11 |

302 | 9. The period of oscillation of a simple pendulum in the experiment is recorded as 2.63 s, 2.56 s, 2.42 s, 2.71 s and 2.80 s respectively. The average absolute error is (a) 0.1 s (b) 0.11 s (c) 0.01 s (d) 1.0 s | 11 |

303 | 2. In the following equations, the distance x is in metres, the time t in seconds and the velocity v in metres/second. What are the SI units of the constants C, and Cz? (a) v2 = 2CX (b) x = C. cos Cat (c) v=Ce-C21 | 11 |

304 | Find the order of magnitude of length of rod having length ( left(10^{6}+10^{3}right) mathrm{m} ) | 11 |

305 | The least count of a stop watch is 0.2 second. The time of 20 oscillations of a pendulum is measured to be 25 seconds. The percentage error in the time period is A . ( 16 % ) B. 0.8 % c. ( 1.8 % ) D. 8% | 11 |

306 | A student performs an experiment for determination of ( boldsymbol{g}=left[frac{mathbf{4} boldsymbol{pi}^{2} boldsymbol{L}}{boldsymbol{T}^{2}}right], boldsymbol{L}=mathbf{1} boldsymbol{m} ) and he commits an error of ( triangle L ). For The takes the time of n oscillations with the stopwatch of least count ( triangle T . ) For which of the following data, the measurement of ( g ) will be most accurate? A. ( triangle L=0.5, Delta T=0.1, n=20 ) B. ( triangle L=0.5, Delta T=0.1, n=50 ) c. ( triangle L=0.5, Delta T=0.01, n=30 ) D. ( triangle L=0.5, Delta T=0.05, n=50 ) | 11 |

307 | Which one of the following methods is used to measure distance of a planet or a star from the earth? A. Echo method B. Parallax method c. Triangulation method D. None of these | 11 |

308 | (U Suess dulu sulan 5. The dimensional formula for impulse is same as the dimensional formula for (a) Momentum (b) Force (c) Rate of change of momentum (d) Torque | 11 |

309 | Calculate the weight of the block at a distance of four times of Earth radii from the center of the Earth. It is given that ( g ) is the acceleration due to gravity at the surface of Earth and mass of the block is ( mathrm{m} ) A. ( 16 mathrm{mg} ) B. ( 4 mathrm{mg} ) c. ( 2 mathrm{mg} ) D. ( frac{1}{4} mathrm{mg} ) E ( cdot frac{1}{16} mathrm{mg} ) | 11 |

310 | The dimensional formula of coefficient of viscosity is ( mathbf{A} cdotleft[M L T^{-1}right] ) B . ( left[M^{-1} L^{2} T^{-2}right] ) ( mathbf{c} cdotleft[M L^{-1} T^{-1}right] ) D. none | 11 |

311 | Assertion The given equation ( boldsymbol{x}=boldsymbol{x}_{0}+boldsymbol{u}_{0} boldsymbol{t}+ ) ( frac{1}{2} a t^{2} ) is dimensionally correct, where is the distance travelled by a particle in time ( t, ) initial position ( x_{0}, ) initial velocity ( u_{0} ) and uniform acceleration a is along the direction of motion Reason Dimensional analysis can be used for checking the dimensional consistency or homogeneity of the equation. 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 |

312 | 10. In S=a+bt + ct. Sis measured in metres and t in seconds. The unit of c is (a) None (b) m (c) ms-1 (d) ms=2 | 11 |

313 | A science student takes 100 observations in an experiment. Second time he takes 500 observations in the same experiment. By doing so the possible error becomes: A. 5 times B. ( 1 / 5 ) times c. unchanged D. none of these | 11 |

314 | A body is submerged in water. It is taken out and then submerged in mercury. What happens to its relative density with respect to the liquid in which it is submerged? A . increases B. decreases c. remains constant D. can’t say | 11 |

315 | The Sl units of mass and weight are A. ( mathrm{kg} ) and ( mathrm{kg} ) B. N and kg c. kg and ( mathrm{N} ) D. N and N | 11 |

316 | Assertion In the measurement of physical quantities direct and indirect methods are used. Reason The accuracy and precision of measuring instruments along with errors in measurements should be taken into account, while expressing the result. 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 |

317 | Assertion ( 1 m m^{2}=10^{-6} m^{2} ) Reason The numerical value of physical quantity is less for a smaller unit. 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 |

318 | Which expression has the same SI base units as pressure? A. ( frac{text { force }}{text { length } times text { speed }} ) в. ( frac{text { force }}{text { length } times text { time }} ) c. ( frac{text { mass }}{text { length } times(text { time })^{2}} ) D. ( frac{text { mass } times(text { time })^{2}}{text { length }} ) | 11 |

319 | The symbol for metre is written as: A . ( m ) в. ( M ) ( c cdot mu ) D. All of the above | 11 |

320 | The value of ( frac{sin 50^{circ}}{sin 30^{circ}} ) | 11 |

321 | The edge of a cube is measured using a vernier callipers. ( [9 ) divisions of the main scale is equal to 10 divisions of vernier scale and 1 main scale division is ( 1 mathrm{mm} ) ]. The main scale division reading is 10 and 1 division of vernier scale was found to be coinciding with the main scale. The mass of the cube is 2.736 gm. Calculate the density in ( mathrm{gm} / mathrm{cm}^{3} ) up to correct significant figures. | 11 |

322 | If a conductance of a conductor (G) is ( frac{I^{2} t}{W}, ) where I is current, t is time and ( w ) is work done then write the unit of conductance expressed in terms of fundamental units. A. ( frac{A^{2} s^{3}}{k g} m^{2} ) в. ( frac{A^{3} s^{2}}{k g} m^{2} ) c. ( frac{A^{2} s^{3}}{k g} m^{1} ) D. ( frac{A^{3} s^{2}}{k g quad m^{1}} ) | 11 |

323 | If the earth expands suddenly to twice its diameter, what would be length of the day? | 11 |

324 | The radius ( (r), ) length ( (l) ) and resistance ( (R) ) of a thin wire are ( (0.20 pm 0.01) mathrm{cm} ) ( (800 pm 0.1) mathrm{cm}, ) and ( (301 pm 1) Omega ) respectively. The error in the specific resistance is : A . 10.34% B . 45.4% c. 26% D. 27.5% | 11 |

325 | 26. A man runs 100.5 m in 10.3 sec. Find his average speed up to appropriate significant figures. 1 • 1 :11 | 11 |

326 | Multiple Correct Answers Type The values of measurement of a physical quantity in five trials were found to be 1.51,1.53,1.53,1.52 and ( mathbf{1 . 5 4} . ) Then A. Average absolute error is 0.01 B. Relative error is 0.01 . c. Percentage error is ( 0.01 % ) D. Percentage error is ( 1 % ). | 11 |

327 | A person was weighing ( 102.1 mathrm{kg} ) last week and gained ( 0.28 k g ) this week. His weight as of now is correctly expressed as: A. ( 102.38 mathrm{kg} ) в. ( 102.3 mathrm{kg} ) c. ( 102.4 mathrm{kg} ) D. ( 102 mathrm{kg} ) | 11 |

328 | Measurement can be accurate without being precise. True=1, false = 0 | 11 |

329 | A star has a parallax angle ( p ) of 0.723 arcseconds. What is the distance of the star? A . 1.38 parsecs B. 2.38 parsecs c. 3.38 parsecs D. 4.38 parsecs | 11 |

330 | Parallax is the apparent displacement of an object because of: A. change in observer’s point of view B. change in object’s position c. changes both in observers point of view and object’s position D. consistency in observer’s point of view | 11 |

331 | You have a bag of cotton and an iron bar each indicating a mass of ( 100 k g ) when measured on a weighing machine. In reality, one is heavier than the other Can you say which one is heavier and why? | 11 |

332 | The density of water is ( 1 g m / c m^{3} . ) What is its value in SI units? | 11 |

333 | Subtract ( 1.5 times 10^{3} ) from ( 4.8 times 10^{4} ) with due regard to significant figures. A. ( 4.6 times 10^{4} ) B. ( 4.6 times 10^{5} ) c. ( 4.6 times 10^{6} ) D. ( 5 times 10^{4} ) | 11 |

334 | 41. The velocity of transverse wave in a string is v= Tim where T is the tension in the string and m is the mass per unit length. If T=3.0 kgf, the mass of string is 2.5 g and the length of string is v = 1.000 m, then the percentage error in the measurement of velocity is a. 0.5 . b. 0. 7 c . 2.3 d. 3.6 | 11 |

335 | Choose the correct statement from the following This question has multiple correct options A. Distance between earth and nearest star is of order in parsec. B. Thousand millimetre make one metre. C. 1 tonne is equal to ( 10^{6} ) g. D. A simple pendulum is used to measure the mass of a bob | 11 |

336 | Illustration 1.1 Convert Newton into dyne. | 11 |

337 | What is a lunar month? A. month having 29 days B. a lunar month is the time between two identical syzgies (new moons or full moons) C. Moon’s orbital period in a non-rotating frame of reference D. average time for the Moon to pass twice through the same equinox point of the sky | 11 |

338 | Measuring vessel to measure density of liquid is | 11 |

339 | Match the physical quantities given in Column I with suitable dimensions expressed in Column II. II Column I ( quad ) Column a) Angular momentum 1) ( M^{-1} L^{3} T^{-2} ) b) Torque 2) ( M L T^{-2} ) c) Gravitational constant 3) ( M L^{2} T^{-2} ) d) Tension 4) ( M L^{2} T^{-1} ) A. a-1, b-3, c-4, d-2 B. a-1, b-4, c-3 d-2 c. ( a-4, b-3, c-1, d-2 ) D. a-1, b-2, c-4, d-3 | 11 |

340 | The method of dimensional analysis can be used to derive which of the following relations? A. ( N_{0} e^{-lambda} ) B. ( operatorname{Asin}(omega+k x) ) c. ( frac{1}{2} m v^{2}+frac{1}{2} omega^{2} ) D. None of these | 11 |

341 | Zepto ( =10^{-x}, ) then ( x ) is ? | 11 |

342 | In a practical unit if the unit of mass becomes double and that of u it of time becomes half, then 8 joules will equal to unit of work ( A cdot 8 ) B. 4 ( c ) D. 10 | 11 |

343 | Three successive measurement in an experiment gave value 10.9,11.4042 and 11.42 the correct way of reporting the average value is: | 11 |

344 | ‘The order of magnitude of a physical quantity must be expressed in proper unit’. Comment on this statement | 11 |

345 | If ( m ) is the mass of drop of a liquid of radius ( r, ) then ( frac{m g}{pi r} ) has the same dimensions of : A. Surface tension B. Tension c. Young’s Modulus D. coefficient of viscosity | 11 |

346 | Newton is written in fundamental units ( operatorname{as} k g m / s^{x} . ) Value of ( x ) is: ( A cdot 2 ) B. 3 ( c cdot 1 ) ( D cdot-2 ) | 11 |

347 | Fill in the blanks with the correct words: The distance of an object from one end to the other is called (length/kilometer) | 11 |

348 | Name the three convenient units used to measure length ranging from very short to very long value. How are they related to the S.I. unit? | 11 |

349 | Area of a square is ( (100 pm 2) m^{2} . ) Its side is: A. ( (10 pm 1) m ) в. ( (10 pm 0.1) m ) c. ( (10 pm sqrt{2}) m ) D. ( 10 pm sqrt{2} % ) | 11 |

350 | If force ( F, ) acceleration ( a, ) and time ( T ) are taken as the fundamental physical quantities, the dimensions of length on this system of units are ( mathbf{A} cdot F A T^{2} ) в. ( F A T ) c. ( F T ) D. ( A T^{2} ) | 11 |

351 | U 125% 13. A physical quantity A is related to four observable a, b, 0253 c and d as follows, A=” , the percentage errors of . Cvd . measurement in a, b, c and d are 1%, 3%, 2% and 2% respectively. What is the percentage error in the quantity A? (a) 12% (b) 7% (c) 5% (d) 14% | 11 |

352 | Count total number of S.F. in 5.003020 ( A cdot 3 ) B. 20 ( c .7 ) D. | 11 |

353 | What is the mass of an object whose weight is ( 98 mathrm{N} ? ) A. ( 98 mathrm{kg} ) B. ( 9.8 mathrm{kg} ) ( c cdot 10 mathrm{kg} ) D. none of these | 11 |

354 | Order of ( frac{1}{8 times 10^{9}} ) is: ( mathbf{A} cdot 1.77 times 10^{-10} ) B ( .1 .25 times 10^{-10} ) C ( .1 .55 times 10^{-10} ) D. ( 1.95 times 10^{-10} ) | 11 |

355 | Which of the following is used as ( mathrm{S} ) I prefixes: A . Micro B. Mica c. Mikro D. Maca | 11 |

356 | Sl unit of weight is kilogram-force ( (K g f ) ). A. True B. False | 11 |

357 | The physical quantity can be expressed as | 11 |

358 | A cube has a side of length ( 1.2 times ) ( 10^{-2} m . ) Calculate its volume A ( .1 .7 times 10^{-6} m^{3} ) В. ( 1.73 times 10^{-6} m^{3} ) C. ( 1.70 times 10^{-6} m^{3} ) D. ( 1.728 times 10^{-6} mathrm{m}^{3} ) | 11 |

359 | The least count of a stop watch is 0.2 second.The time of 20 oscillations of a pendulum is measured to be 25 seconds.The percentage error in time period is A . 16% в. 0.8% c. ( 1.8 % ) D. 8% | 11 |

360 | The dimension of angular momentum is ( mathbf{A} cdotleft[M^{0} L^{1} T^{-1}right] ) B . ( left[M^{1} L^{2} T^{-2}right] ) C ( cdotleft[M^{1} L^{2} T^{-1}right] ) D cdot ( left[M^{2} L^{1} T^{-2}right] ) | 11 |

361 | Sl unit of heat capacity is A. joule B. joule/kilogram C . joule/(kilogram x kelvin) D. joule/kelvin | 11 |

362 | light year = – | 11 |

363 | The number of significant figures in 0.010200 is : A. 6 B. 5 ( c cdot 4 ) ( D ) | 11 |

364 | Density of a solid is ( 18300 k g / m^{3} . ) What is its relative density? A. 1830 B. 183 ( c cdot 18.3 ) D. 1.83 | 11 |

365 | (d) 5.0 x IU curacy of measurement and significant sing results of experiment, which of the leasurements 50.14 cm and 0.00025 10. In the context of accuracy of measure figures in expressing results of ex following is/are correct (1) Out of the two measurements 50.14 ampere, the first one has greater accuracy (2) If one travels 478 km by rail and 397 mby total distance travelled is 478 km. (a) Only (1) is correct (b) Only (2) is correct (c) Both are correct (d) None of them is correct 0 km by rail and 397 m by road, the | 11 |

366 | 13. The sides of a rectangle are (10.5 + 0.2) cm and (5.2, 0.1) cm. Calculate its perimeter with error limits. | 11 |

367 | 12. A watt is: (a) kg m/s2 (c) kg m/s (b) kg m-/s3 (d) kg m?/s2 | 11 |

368 | The Van der Wall equation for 1 mole of a real gas is ( left(boldsymbol{P}+frac{boldsymbol{a}}{boldsymbol{V}^{2}}right)(boldsymbol{V}-boldsymbol{b})=boldsymbol{R} boldsymbol{T} ) where ( P ) is the pressure, ( V ) is the volume, ( boldsymbol{T} ) is the absolute temperature ( R ) is the molar gas constant and ( a, b ) are Van der Wall constants. The dimensions of ( a ) are the same as those of : A . ( P V ) в. ( P V^{2} ) c. ( P^{2} V ) D. ( P / V ) | 11 |

369 | What is dimensional formula for magnetic flux densities? | 11 |

370 | Two numbers are given as i) 20.96 and ii) ( 0.0003125 . ) Rounding off above numbers to 3 significant figures will lead to : A ( . ) i) ( 21.0, ) ii) 312 B . i) 21.0, ii) 3.12 ( times 10^{-4} ) ( c cdot ) i) ( 2.10, ) ii) ( 3.12 times 10^{-4} ) 4 4 | 11 |

371 | Which of these is not a base quantity in mechanics? A. Charge B. Length c. Mass D. Time | 11 |

372 | 12. Position of a body with acceleration ‘a’ is given by x = Ka”t”, here t is time. Find dimension of m and n. (a) m= 1, n=1 (b) m= 1, n = 2 (c) m =2, n=1 (d) m = 2, n=2 | 11 |

373 | The value of Faraday number in Sl unit is: A. 9.65 coulomb ( / mathrm{kg} ) – equivalent B . ( 9.65 times 10^{7} ) coulomb ( / mathrm{kg} ) – equivalent c. ( 9.65 times 10^{-7} ) coulomb / ( k g ) – equivalent D. 9.65 coulomb ( / g ) – equivalent | 11 |

374 | Quantity of matter contained in a body is A. Mass B. density c. relative density D. volume | 11 |

375 | gigameter is ( 10^{-a} ) exameter. What is value of a? | 11 |

376 | Illustration 1.32 If the measured value of R= 1.05 12, wire diameter d = 0.60 mm, and length cm, then find the maximum permissible error in resistivity, R(id-14) = 0.60 mm, and length 1 = 75.3 p= | 11 |

377 | The effective length of a simple pendulum is the sum of the following three: length of string, radius of bob, and length of hook. In a simple pendulum experiment, the length of the string, as measured by a meter scale, is ( 92.0 mathrm{cm} . ) The radius of the bob combined with the length of the hook, as measured by a vernier callipers, is ( 2.15 mathrm{cm} . ) The effective length of the pendulum is ( mathbf{A} cdot 94.1 mathrm{cm} ) B. ( 94.2 mathrm{cm} ) c. ( 94.15 mathrm{cm} ) D. ( 94 mathrm{cm} ) | 11 |

378 | Illustration 1.21 The relative density of material of a body is found by weighing it first in air and then in water. If the weight in air is (5.00+ 0.05) N and the weight in water is (4.00 +0.05) N. Find the relative density along with the maximum permissible percentage error. | 11 |

379 | According to theory of significant figures ( (2.0)^{10} ) is : A ( cdot 1024 ) В. ( 1.024 times 10^{10} ) c. ( 1.0 times 10^{3} ) D. 1000 | 11 |

380 | A thin wire has a length of ( 21.7 mathrm{cm} ) and radius 0.46 mm. The volume of the wire to correct significant figures is : A ( .1 .4 mathrm{cm}^{3} ) B. ( 0.14 mathrm{cm}^{3} ) c. ( 0.14 mathrm{mm}^{3} ) D. None of these | 11 |

381 | 11. Which one of the following does not have the same dimensions? (a) Work and energy (b) Angle and strain (c) Relative density and refractive index (d) Planck constant and energy | 11 |

382 | 4. Newton-second is the unit of (a) Velocity (b) Angular momentum (c) Momentum (d) Energy | 11 |

383 | is used as a unit to measure the capacity of something. A. Kilogram B. Litre c. Metre D. None | 11 |

384 | The dimensions of electromotive force in terms of current A are ( mathbf{A} cdotleft[M T^{-2} A^{-2}right] ) B . ( left[M L^{2} T^{-2} A^{2}right] ) ( mathrm{c} cdotleft[M L^{2} T^{-2} A^{-2}right. ) D ( cdotleft[M L^{2} T^{-3} A^{-1}right] ) | 11 |

385 | State whether True or False, and correct the statements if false: (1) Kilometre is a multiple of metre. A. True B. False | 11 |

386 | DO MILIC. ML TU. MLT 4. A physical quantity depends upon five factors, all of which have dimensions, then method of dimensional analysis a. Can be applied b. Cannot be applied c. Depends upon factors involved d. Both (a) and (c) | 11 |

387 | If force ( F, ) work ( W ) and velocity ( v ) are taken as fundamental quantities, then the dimensional formula of time is : | 11 |

388 | The correct way to represent an unit amount of force is : A. 1 newton B. 1 Newton c. 1 NEWTON D. None of these | 11 |

389 | The dimensional formula of a physical quantity is ( M^{1} L^{2} T^{3} I^{-1} ).What is its ( S ) unit? A ( cdot k g quad m^{2} s^{3} A^{-1} ) B. ( k g quad m^{2} s^{2} A ) c. ( k g quad m s^{-3} A^{2} ) D. ( k g^{2} m^{2} s^{3} A^{-1} ) | 11 |

390 | if ( L=2.331 c m, B=2.1 c m, ) then ( L+B= ) A. ( 4.431 mathrm{cm} ) в. ( 4.43 mathrm{cm} ) c. ( 4.5 mathrm{cm} ) D. ( 4.2 mathrm{cm} ) | 11 |

391 | Identify the derived quantities among the following. This question has multiple correct options A. Gravitational constant B. Frequency c. Electric charge D. Electric current | 11 |

392 | 1. Porous rock through which groundwater can move is called an aquifer. The volume V of water that, in time t, moves through a cross section of area A of the aquifer is given by Vlt = KAHIL, where H is the vertical height of the aquifer over the horizontal distance L. This relation is called Darcy’s law. The quantity K is the hydraulic conductivity of the aquifer. What are the SI units of K? | 11 |

393 | Repeated observations in an experiment gave the values 1.29,1.33,1.34,1.35,1.32,1.36,1.30 and ( 1.33 . ) Calculate the mean value, absolute error, relative error, and percentage error | 11 |

394 | The number of significant figures in ( mathbf{0 . 0 0 2 1 0} ) is A . five B. six c. four D. three | 11 |

395 | Show dimensionally that the frequency (a) of transverse wanes in a string of length / and mass per unit length ( boldsymbol{m} ) under a tension T is given by, ( boldsymbol{n}= ) ( boldsymbol{k} sqrt{boldsymbol{T}} / boldsymbol{l} sqrt{boldsymbol{m}} ) | 11 |

396 | The dimension of permittivity of vacuum B ( cdotleft[M^{-1} L^{-3} T^{4} A^{3}right] ) ( mathbf{c} cdotleft[M^{-1} L^{-3} T^{4} A^{2}right] ) ( mathbf{D} cdotleft[M^{-1} L^{-5} T^{4} A^{2}right] ) | 11 |

397 | ( 101 5. Which of the following is smallest unit? (a) Millimetre (b) Angstrom (c) Fermi (d) Metre W : o .f l f.11. | 11 |

398 | The mass and density of a solid are measured to be ( (12.4 pm 0.1) mathrm{kg} ) and ( (4.6 pm 0.2) k g / m^{3} . ) Calculate the volume of the sphere with error limits. ( mathbf{A} cdot therefore V pm Delta V=(2.7 pm 0.14) m^{3} ) B ( ldots V pm Delta V=(5.4 pm 0.14) m^{3} ) ( mathbf{c} cdot therefore V pm Delta V=(2.7 pm 0.28) m^{3} ) D. None of these | 11 |

399 | Which of the following instrument can be used to determine the radius of curvature of a spherical surface? A. Spherometer B. Vernier callipers c. screw gauge D. simple pendulum | 11 |

400 | 8. A physical quantity is measured and its value is found to be nu where n=numerical value and u= unit. Then which of the following relations is true (a) no u (b) no u (c) na Vu (d) noc – | 11 |

401 | 13. Experiment shows that two perfectly neutral parallel metal plates separated by a small distance d attract each other via a very weak force, known as the Casimir force. The force per unit area of the plates, F, depends only on the Planck constant h, on the speed of light c, and on d. Which of the following has the best chance of being correct for F? (a) F= he (b) F= he (C) F = hd (d) F = d. ( | 11 |

402 | Why are shields made of iron usually provided around precision instruments? A. For protection against the effect of moisture in the air B. For guiding the instruments against unauthorised handling c. For protection against the effect of external magnetic fields D. For absorbing heat generated during the functioning of the instruments | 11 |

403 | What is the approximation made in the parallax method? A. All distances measured between two points on earth is zero B. All distances measured between two points on earth is constant c. Distance between a point on the earth and the planet is very large as compared to the distance between two points on earth’s surface. D. No approximation is made | 11 |

404 | Which of the following unit is not a fundamental unit: A . Meter B. Litre c. second D. Kilogram | 11 |

405 | The physical quantity which has the dimensional formula ( left[M T^{-3}right] ) is: A. Surface tension c. Solar constant D. compressibility | 11 |

406 | A length is measured as ( 7.60 mathrm{m} ). This is the same as A. ( 760 mathrm{mm} ) B. ( 0.0076 mathrm{mm} ) ( c .760 mathrm{cm} ) D. ( 0.76 d m ) | 11 |

407 | Which of the following does not has fundamental unit? A. Mass B. Time c. Force D. length | 11 |

408 | The potential energy of a particle varies with height ( h ) from a fixed point as ( boldsymbol{E}= ) ( left(frac{boldsymbol{P} sqrt{boldsymbol{h}}}{boldsymbol{h}+boldsymbol{Q}}right) ) where, ( boldsymbol{P} ) and ( boldsymbol{Q} ) are constants. The dimensions of ( P Q ) are A ( cdotleft[M L^{2} T^{-2}right] ) B. ( left[M^{3 / 2} L^{3 / 2} T^{-2}right. ) C . ( left[M L^{7 / 2} T^{-2}right] ) D cdot ( left[M L^{3 / 2} T^{-2}right. ) | 11 |

409 | The ratio of dimensions electric field and magnetic field is, A ( . M T^{1} L^{-1} ) B. ( M T^{-1} L^{-2} ) ( mathbf{c} cdot M T^{2} L^{-1} ) D. ( L T^{-1} ) | 11 |

410 | Temperature can be expressed as a derived quantity in terms of : A. length and mass B. mass and time c. length, mass and time D. none of these | 11 |

411 | To convert ( ^{o} mathrm{F} ) to ( ^{circ} mathrm{C} ) formula we use, is A ( cdot(F-32) times frac{5}{12} ) B ( cdotleft(F times frac{5}{9}right)-32 ) c. ( (F-32) times frac{9}{5} ) D. ( (F-32) times frac{5}{9} ) | 11 |

412 | Surface tension of liquid is 70 dyne/cm. Its value in Sl unit is A . ( 70 mathrm{N} / mathrm{m} ) В. ( 7 times 10^{-2} N / m ) C. ( 7 times 10^{2} N / m ) D. ( 7 times 10^{3} N / m ) | 11 |

413 | 2. In two systems of relations among velocity, acceleration, 02 and force are, respectively, v2 = 2 V, az = aßay, and B1 F27 · If a and B are constants, then make relations o laneth and time in two systems | 11 |

414 | Taking force,length and time to be the fundamental quantities.Find the direction, density,momentum and energy | 11 |

415 | If the density of earth increases by ( 20 % ) and radius decreases by ( 20 % ) then the new value of “g” on the surface of earth will be: A. ( 0.8 mathrm{g} ) B. ( 0.90 mathrm{g} ) c. ( 0.96 mathrm{g} ) D. | 11 |

416 | Dimensions ( left[M L^{-1} T^{-1}right] ) are related to A. Torque B. Work c. Energy D. coefficient of viscosity | 11 |

417 | 24. The dimensional formula for magnetising field H is a. IML T . IM LT-3A c. MLTA-1 d. [M®LTAJ | 11 |

418 | 14. A wire has a mass 0.3 + 0.003 g, radius 0.5 + 0.005 mm and length 6 + 0.06 cm. The maximum percentage error in the measurement of its density is (a) 1 (6) 2 (c) 3 . (d) 4 | 11 |

419 | The extent to which a given measurement agrees with the standard value for that measurement is known as : A. Accuracy B. Precision c. Accuracy and Precision D. None of these | 11 |

420 | 1. The dimensions of (1/2) EP (Ep is permittivity of free space, E is electric field) are a. MLT-1 b. ML27-2 c. ML-11-2 d. MLT-1 (IIT JEE, 2000) | 11 |

421 | If the unit of power is 1 million erg per minute, the unit of force is 1000 dyne and that of time is ( frac{1}{10} s, ) the unit of mass in the new system is : ( A cdot 6 g ) B. 60 g c. ( 106 g ) D. 18 | 11 |

422 | Distance travelled by sound in year is called AU? A . True B. False | 11 |

423 | Density of a body depends on its shape and size. True or false. A . True B. False | 11 |

424 | Illustration 1.16 If velocity (V), force (F), and time (T) are chosen as fundamental quantities, express (a) mass and (b) energy in terms of V, F, and T. ham | 11 |

425 | Which of the following quantities is scalar? A. Dipole moment B. Electric force c. Electric field intensity D. Electric potential | 11 |

426 | The Sl unit of radioactivity is : A . Becquerrel B. Curie c. Rutherford D. None of these | 11 |

427 | Match the Column I with Column II Column n II nion Column I (Units) (Dimensional formulae) (A) Pas Pas ( (p) ) ( left[M^{0} L^{2} T^{-2} K^{-1}right] ) (B) ( mathrm{Nm} mathrm{K}^{-1} ) ( (q) ) ( left[M L T^{-3} K^{-1}right] ) ( (C) ) ( mathrm{J} mathrm{kg}^{-1} mathrm{K} ) -1 ( (r) ) ( left[M L^{-1} T^{-1}right] ) ” (D) ( mathrm{W} mathrm{m}^{-1} ) ( mathrm{K}^{-1} ) (s) ( left[M L^{2} T^{-2} K^{-1}right] ) ( A cdot A-q, B-p, C-r, D-s ) B. ( A-p, B-q, C-s, D-r ) C. ( A-r, B-s, C-p, D-q ) D. ( A-s, B-r, C-q, D-p ) | 11 |

428 | The Van der Waal’s equation of state for some gases can be expressed as: ( left(boldsymbol{P}+frac{boldsymbol{a}}{boldsymbol{V}^{2}}right)(boldsymbol{V}-boldsymbol{b})=boldsymbol{R} boldsymbol{T} ) where ( P ) is the pressure, ( V ) is the molar volume, and ( T ) is the absolute temperature of the given sample of gas and ( a, b ) and ( R ) are constants. In the above problem, the dimensional formula for ( mathrm{RT} ) is same as that of | 11 |

429 | State the requirements of a good unit. | 11 |

430 | The dimensions of energy per unit volumes are the same as those of : A. work B. Stress c. Pressure D. Modulus | 11 |

431 | 7. The numbers 2.745 and 2.735 on rounding off to 3 significant figures will give (a) 2.75 and 2.74 (b) 2.74 and 2.73 (c) 2.75 and 2.73 (d) 2.74 and 2.74 | 11 |

432 | If ( mu ) is the permeability and ( epsilon ) is the permittivity then ( frac{1}{sqrt{mu epsilon}} ) is equal to A. speed of sound B. speed of light in vacuum c. speed of sound in medium D. speed of light in medium | 11 |

433 | 10. The unit of potential energy is (a) g(cm/sec2) (b) g(cm/sec)2 (c) g(cm²/sec) (d) g(cm/sec) | 11 |

434 | In the relation ( y=r sin (omega t-k x), ) the dimensions of ( omega / k ) are ( mathbf{A} cdotleft[M^{0} L^{0} T^{0}right] ) B . ( left[M^{0} L^{1} T^{-1}right] ) ( mathbf{c} cdotleft[M^{0} L^{0} T^{1}right] ) ( mathbf{D} cdotleft[M^{0} L^{1} T^{0}right] ) | 11 |

435 | A cube has a side of length ( 1.2 times ) ( 10^{-2} m . ) Calculate its volume. A ( .1 .7 times 10^{-6} m^{3} ) В. ( 1.73 times 10^{-6} m^{3} ) D. ( 1.732 times 10^{-6} m^{3} ) | 11 |

436 | 2. If velocity v, acceleration A and force F are chosen as fundamental quantities, then the dimensional formula of angular momentum in terms of v, A and F would be (a) FA-‘y (b) Fv3A-2 (c) Fv2A-1 (d) F²v2A- | 11 |

437 | The dimensional formula ( M^{-1} L^{3} T^{-2} ) refers to: A . Force B. Power c. Gravitational constant D. Energy | 11 |

438 | The displacement of a body at a particular second ( n ) is given by the expression ( S_{n^{t h}}=u+frac{a}{2}(2 n-1) . ) The dimensional formula of ( S_{n^{t h}} ) in this equation is ( mathbf{A} cdotleft[M^{2} L^{0} T^{1}right] ) B ( cdotleft[M^{0} L^{1} T^{0}right] ) ( mathbf{c} cdotleft[M^{0} L^{1} T^{-1}right] ) ( mathbf{D} cdotleft[M^{0} L^{0} T^{0}right] ) | 11 |

439 | The radius of sphere is measured as then the percentage error in volume of the balls is | 11 |

440 | Which of the following is non-metric unit of length? A . feet B. yards c. miles D. all of the above | 11 |

441 | A cuboid has volume ( boldsymbol{V}=mathbf{1} times mathbf{2 l} times mathbf{3 l} ) where 1 is the length of one side. If the relative percentage error in the measurement of ( l ) is ( 1 % ), then the relative percentage error in measurement of ( V ) is ( mathbf{A} cdot 18 % ) B. ( 6 % ) c. ( 3 % ) D. 1% | 11 |

442 | The density of water is equal to: A ( cdot 10^{-3} operatorname{kg} m^{-3} ) B . ( 10^{-2} mathrm{kgm}^{-3} ) c. ( 10^{2} mathrm{kgm}^{-3} ) D. ( 10^{3} k g m^{-3} ) | 11 |

443 | 4. Young’s modulus of a material has the same units as (a) Pressure (b) Strain (c) Compressibility (d) Force 1.1 fm 11 ingin omallest unit? | 11 |

444 | The end error of a meter bridge can be generated due to which of the following causes/(s) A. Generation of heat due to the flow of current in the wirce may change the length of the wire B. Due to the change of the weather, the length of the meter bridge wire may change its length. c. The meter bridge wire is mounted over the wooden plary some metal screw or some metal D. The thickness of the wire may be non uniform. | 11 |

445 | One astronomical unit is the mean distance between the centre of the Earth and centre of the ¡) Moon ii) Sun iii) Mars | 11 |

446 | A physical quantity ( x ) can be dimensionally represented in terms of ( M, L ) and ( T ) that is ( x=M^{a} L^{b} T^{c} . ) The quantity time A. may be dimensionally represented in terms of ( x, M ) and ( L ) if ( c neq 0 ) B. may be dimensionally represented in terms of ( x, M ) and ( L ) if ( c=0 ) c. may be dimensionally represented in terms of ( x, M ) and ( L ), irrespective of value of ( c ) D. can never be dimensionally represented in terms of ( x, M ) and ( L ) | 11 |

447 | Calculate focal length of a spherical mirror from the following observations. Object distance, ( boldsymbol{u}=(mathbf{5 0 . 1} pm mathbf{0 . 5}) mathrm{cm} ) and image distance, ( boldsymbol{v}=(mathbf{2 0 . 1} pm mathbf{0 . 2}) ) ( mathrm{cm} ) ( mathbf{A} cdot f=(14.3 pm 0.2) mathrm{mm} ) B . ( f=(14.3 pm 0.2) mathrm{cm} ) C ( cdot f=(14.3 pm 0.4) mathrm{cm} ) D. None of these | 11 |

448 | A body has a relative density of ( x ) with respect to water at ( 25^{circ} mathrm{C} ). What is the effect on the relative density of the body with respect to water at ( 50^{circ} mathrm{C} ? ) A. It increases B. It decreases c. No effect. D. Depends on the time of heating | 11 |

449 | If the mass of a body is ( 12.1 g ) and the density is ( 2.2 g / c c, ) its volume is ( mathbf{A} cdot 5.5 mathrm{cm}^{3} ) в. ( 8 c c ) ( c .11 c c ) D. ( 55 c c ) | 11 |

450 | If the angular distance between the stars turns out to be approximately 1100 arcseconds, or 0.30 degrees. The moon appears to shift 0.3 degrees when we observe it from two vantage points 2360 ( mathrm{km} ) apart, then find the distance of the moon from the surface of the earth.Given angular diameter of moon is 0.5 degrees. A. ( 450642 mathrm{km} ) B. 450392 km ( c .325684 mathrm{km} ) D. ( 480264 mathrm{km} ) | 11 |

451 | The centripetal force ( boldsymbol{F} ) acting on a particle moving uniformly in a circle may depend upon mass ( (boldsymbol{m}), ) velocity ( (v) ) and radius ( (r) ) of the circle. Derive the formula for ( boldsymbol{F} ) using the method of dimensions. ( left.^{mathrm{A}} cdot_{F}=frac{m v^{2}}{r} text { (where } k=1right) ) B . ( F=m v^{2} times r ) (where ( k=1 ) ) C ( cdot F=m v^{3} times r ) (where ( k=1 ) ) D. ( F=frac{m v^{3}}{r} ) (where ( k=1 ) ) | 11 |

452 | The radius of sphere is measured to be ( (2.1 pm 0.5) mathrm{cm} ) Calculate its surface area with error limits. ( mathbf{A} cdot S=(55.4 pm 26.4) mathrm{cm}^{2} ) B . ( S=(55.4 pm 26.4) mathrm{mm}^{2} ) ( mathbf{c} cdot S=(55.4 pm 13.2) mathrm{cm}^{2} ) D. None of these | 11 |

453 | Thickness of the page on which you are writing is in the order of : A . ( 0.1 mathrm{cm} ) B. 0.1 micrometer c. 0.1 angstrom D. ( 0.1 mathrm{mm} ) | 11 |

454 | What is the unit of relative density? A. ( g c m^{-3} ) B. ( k g m^{-3} ) c. ( m^{3} k g^{-1} ) D. no unit | 11 |

455 | Multiple Correct Answers Type Which of the following pairs have the same dimensions? This question has multiple correct options A. ( h / e ) and magnetic flux B. ( h / e ) and electric flux C . Electric flux and ( a / epsilon_{6} ) D. Electric flux and ( mu_{0} I ) | 11 |

456 | A physical quantity is measured and the result is expressed as ( n u ) where ( u ) is the unit used and ( n ) is the numerical value. If the result is expressed in various units then A ( . n propto ) size of ( u ) В . ( n propto u^{2} ) c. ( n propto sqrt{u} ) D. ( n propto frac{1}{u} ) | 11 |

457 | Which of the following is the right way of expressing 1 watt of power? A. 1 watt B. ( 1 mathrm{w} ) ( c cdot 1 w ) D. 1 wt | 11 |

458 | The accuracy of measurement also lies in the way the result is expressed. The number of digits to which a value is to be expressed is one digit more than number of sure numbers. Rules do exist to deal with number of digits after an operation is carried out on the given values. The error can be minimised by many trials and using the correct methods and instruments. The number of significant figures can reduces in A. Addition B. Subtraction C. Multiplication D. Division | 11 |

459 | Which of the following is not a unit of time? A. hour B. nano second c. ( mu ) second D. light year | 11 |

460 | A physical quantity P is given by ( boldsymbol{P}= ) ( frac{A^{3} B^{1 / 2}}{C^{-4} D^{3 / 2}} . ) Which quantity among ( A, B, C ) and D brings in the maximum percentage error in P? | 11 |

461 | A jeweller kept a diamond of mass ( 5.42 g m ) inside a box of mass ( .12 k g ) Find the combined mass of diamond and box upto appropriate significant figures. | 11 |

462 | Which of the following is not the unit of time? A. Leap year B. Lunar month c. Solar day D. Parallactic second | 11 |

463 | Dimensional formula for Angular momentum is: A ( cdot M L^{2} T^{-1} ) B . ( M^{1} L^{3} T^{-1} ) c. ( M^{1} L^{1} T^{-1} ) D. ( M L^{3} T^{-2} ) | 11 |

464 | The length, breadth and thickness of a rectangular lamina are ( 1.024 m, 0.56 m ) and 0.0031 m. The volume, in ( m^{3}, ) is: A ( .1 .8 times 10^{-3} ) В. ( 1.80 times 10^{-3} ) c. ( 0.180 times 10^{-4} ) D. 0.00177 | 11 |

465 | Illustration 1.13 For a particle to move in a circular orbit uniformly, centripetal force is required which infact depends upon mass (m), velocity (v), and radius (r) of the circle. Express centripetal force in terms of these quantities. | 11 |

466 | Which of the following is not used as SI prefixes: A. Deca B. Kilo c. Femto D. Mica | 11 |

467 | Define density and relative density. | 11 |

468 | Match the physical quantities given in column A to their Sl units given in column B: | 11 |

469 | 42. Write the dimensions of alb in the relation P=4 bx where P is the pressure, x is the distance, and t is the time. a. M-LºT-2 b. MLºT-2 c. MLºT d. MLT-2 b-x² | 11 |

470 | Size of atom is measured in | 11 |

471 | A scientist performs an experiment and takes 100 readings. He repeats the same experiment and now takes 400 readings. By doing so : A. the probable error remains the same B. the probable error is halvedd c. the probable error is doubled D. the probable error reduces by a factor of ( 1 / 4 ) | 11 |

472 | Disul yum uu wavelengu 2. Which of the following pairs have different dimensions! a. Frequency and angular velocity. b. Tension and surface tension. c. Density and energy density. d. Linear momentum and angular momentum. | 11 |

473 | The velocity ( v ) of sound can be assumed as dependent on density of medium and modulus of elasticity of medium ,so which of the following can be considered as correct formula for calculating velocity of sound, ( (rho ) =density, ( E ) =modulus of elasticity ( mathbf{A} cdot v=rho^{0.5} times E^{0.5} ) В . ( v=rho^{0.5} times E^{-0.5} ) C ( cdot v=rho^{-0.5} times E^{0.5} ) D. none of the above | 11 |

474 | Which of the following is the most precise measurement? A. ( 3 times 10^{-3} mathrm{m} ) B . ( 0.0030 m ) c. ( 30 times 10^{-4} mathrm{m} ) D. ( 300 times 10^{-5} mathrm{m} ) | 11 |

475 | The dimensions of ( frac{alpha}{beta} ) in the equation ( boldsymbol{F}=frac{boldsymbol{alpha}-boldsymbol{t}^{2}}{beta boldsymbol{v}^{2}}, ) where ( boldsymbol{F} ) is force, ( boldsymbol{v} ) is velocity and ( t ) is time, is : ( mathbf{A} cdotleft[M L T^{-1}right] ) B . ( left[M L^{-1} T^{-2}right] ) ( mathbf{c} cdotleft[M L^{3} T^{-4}right] ) ( mathbf{D} cdotleft[M L^{2} T^{-4}right] ) | 11 |

476 | Assertion nm is not same as mN Reason ( ln m=10^{-9} m operatorname{and} 1 m N=10^{-3} N ) 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 |

477 | Dimensional formula of ( Delta Q, ) heat supplied to the system is ( mathbf{A} cdotleft[M L^{2} T^{-2}right] ) B. ( left[M L T^{-2}right] ) ( mathbf{c} cdotleft[M L^{2} T^{-1}right] ) D . ( left[M L T^{1}right. ) | 11 |

478 | Write 2760000 in scientific form. | 11 |

479 | The period of oscillation of a simple pendulum in the experiment is recorded as ( 2.63 s, 2.56 s, 2.42 s, 2.71 s ) and ( 2.80 s ) respectively. The average absolute error is: A . ( 0.1 mathrm{s} ) B. 0.11s ( c cdot 0.01 ) D. 1.0s | 11 |

480 | The number of significant figures in the numbers ( 4.8000 times 10^{4} ) and 48000.50 are respectively A . 5 and 6 B. 5 and 7 ( c cdot 2 ) and 7 D. 2 and 6 | 11 |

481 | The least count of a stop-watch is ( (1 / 5) s . ) The time of 20 oscillations of a pendulum is measured to be 25 s. What is the maximum percentage error in this measurement? ( A cdot 8 % ) B. 1% c. ( 4 % ) D. ( 16 % ) | 11 |

482 | Thickness of a pencil measured by using a screw gauge (least count. ( 001 mathrm{cm} ) ) comes out to be ( 0.802 mathrm{cm} ). The percentage error in the measurement is A . ( 0.125 % ) B . ( 2.43 % ) c. ( 4.12 % ) D. 2.14% | 11 |

483 | Match the columns: ( begin{array}{ll}text { । } & text { II } \ text { 1. Mass } & text { a. } m / s^{2} \ text { 2. Weight } & text { b. kilogram } \ text { 3. Gravitational acceleration } & text { c. } N m^{2} k g^{-2} \ text {4. Gravitational constant } & text { d. Newton }end{array} ) A. ( 1-a, 2-b, 3-c, 4-d ) B. ( 1-b, 2-a, 3-d, 4-c ) c. ( 1-b, 2-d, 3-c, 4-a ) D. ( 1-b, 2-d, 3-a, 4-c ) | 11 |

484 | Count total number of S.F. in ( 6.020 times ) ( 10^{23} ) | 11 |

485 | When the planet Jupiter is at a distance of 824.7 million kilometers from the Earth,its angular diameter is measured to be 35.72 of arc. Calculate the diameter of Jupiter. | 11 |

486 | 6. The unit of angular acceleration in the SI system is (a) N kg (c) rad s-2 (d) m kg ‘K (b) m s-2 | 11 |

487 | 2. The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed (a) 11% (b) 8% (c) 5% (d) 1% 1 tc… fanhanaia 101. Tha | 11 |

488 | Illustration 1.31 In resonance tube experiment, the velocity of sound is given by v = 2fo(12 – 11). We found l, = 25.0 cm and 12 = 75.0 cm. If there is no error in frequency, what will be the maximum permissible error in the speed of sound? (Take fo = 325 Hz) | 11 |

489 | 8. The energy of an SHM is dependent on mass m, frequency f, and amplitude A of oscillation. The relation is a. MfIA? b. Mfa-2 c. Mf²a-2 d. MfA | 11 |

490 | The dimensional formula for pressure gradient is : A ( cdot M L^{-1} T^{-2} ) B . ( M^{1} L^{-2} T^{-2} ) c. ( M^{1} L^{2} T^{-2} ) D. ( M^{1} L^{-1} T^{-3} ) | 11 |

491 | Which one can be represented as the symbol of time? A . в. ( F ) ( c ) D. None | 11 |

492 | What is the advantage of choosing the wavelength of light as a standard of length? A. Travels fast B. Speed independent of location and temperature c. No medium to travel D. No advantage | 11 |

493 | A beam balance of unequal arm length is used by an unscruplus trader. When an object is weighed on left pan. The weight ( i ) found to be ( W_{1} . ) When the object is weighed on the right plan, the weight is found to be ( W_{2} ). If ( W_{1} neq W_{2} ) the correct weight of the object is A. ( frac{W_{1}+W_{2}}{2} ) В. ( sqrt{W_{1} W_{2}} ) c. ( sqrt{W_{1}^{2}+W_{2}^{2}} ) D. ( sqrt{W_{2}^{2}-W_{1}^{2}} ) | 11 |

494 | Convert ( 1 g / c m^{3} ) to ( k g / m^{3} ) A. 1000 B. 100 c. ( 0 . ) D. 10 | 11 |

495 | 4. The nth division of main scale coincides with (n + 1) divisions of Vernier scale. Given one main scale division is equal to a units. Find the least count of the vernier. (IIT JEE, 2003) | 11 |

496 | In situation ( 2, ) if ( h_{2} ) is further decreased then A. cylinder will not move up an remains at its original position B. for ( h_{2}=h / 3 ) cylinder again starts moving up C. for ( h_{2}=h / 4 ) cylinder again starts moving up D. for ( h_{2}=h / 5 ) cylinder again starts moving up | 11 |

497 | Which of the following conversions is correct? ( A cdot 1 a t m=1.01 times 10^{4} mathrm{Pa} ) B. ( 1 mathrm{mm} ) of ( mathrm{Hg}=133 mathrm{Pa} ) c. 1 bar ( =10^{7} ) Pa D. 1 torr ( =10^{2} ) Pa | 11 |

498 | The Sl unit of inductance, henry can be written as: a) ( frac{text { weber }}{text { ampere }} ) b) ( frac{V o l t-text { second }}{text { ampere }} ) c) ( frac{text {joule}}{text {ampere}^{2}} ) d) Ohm – second A. a & c are correct B. a & b are correct c. a, b & c are correct D. all are correct | 11 |

499 | 24. A body of mass m hung at one end of the spring executes simple harmonic motion. The force constant of a spring is k while its period of vibration is T. Prove by dimensional method that the equation T = 2Tomlk is incorrect. Denve the correct equation, assuming that they are related by a power law. | 11 |

500 | 73. While measuring the acceleration due to gravity by a simple pendulum, a student makes a positive error of 1% in the length of the pendulum and a negative error of 3% in the value of time period. His percentage error in the measurement of g by the relation g= 4T (UT) will be a. 2% b. 4% c. 7% d. 10% _____1__4ende te b | 11 |

501 | In the context of accuracy to measurement and significant figures in expressing results of experiment, which of the following is/are correct? (1) Out of the measurements ( 50.14 mathrm{cm} ) and 0.00025 ampere, the first one has greater accuracy. (2) If one travels ( 478 mathrm{km} ) by rail and 397 m. by road, the total distance traveled is ( 478 mathrm{km} ) A. Only (1) is correct B. only (2) is correct c. Both are correct D. None of these is correct | 11 |

502 | Frictional force can’t be measured in ( mathbf{A} cdot mathbf{k g} ) wt B. Newton c. Dyne D. ( k g m s^{-} ) | 11 |

503 | The dimensional formula for impulse is: A ( . M L T^{-2} ) в. ( M L T^{-1} ) ( mathbf{c} cdot M L^{2} T^{-1} ) D. ( M^{2} L T^{-1} ) | 11 |

504 | Illustration 1.26 A physical quantity x is calculated from the a²f3 relation x=- . If the percentage error in a, b, c, and d cud are 2%, 1%, 3%, and 4%, respectively, what is the percentage error in x? | 11 |

505 | n 8. The relative density of material of a body is found by weighing it first in air and then in water. If the weight in air is (5.00 + 0.05) Newton and weight in water is (4.00 +0.05) Newton. Then the relative density along with the maximum permissible percentage error is (a) 5.0 + 11% (b) 5.0 + 1% (c) 5.0 + 6% (d) 1.25 + 5% | 11 |

506 | With due regard to significant figures, add the following: a. 953 and 0.324 b. 953 and 0.625 c. 953.0 and 0.324 d. 953.0 and 0.374 A . a. ( 953 ; ) b. 954 c. 953.3 d. 953.4 B. a. ( 953 ; ) b. 955 c. 953.3 d. ( 953 . ) c. a. ( 952 ; ) b. 954 с. 953.3 d. 953.4 D. a. ( 953 ; ) b. 954 c. 953.3 d. 952.4 | 11 |

507 | The dimension of ( left(frac{1}{2}right) varepsilon_{0} boldsymbol{E}^{2} ) is ( left(varepsilon_{0}right. ) permittivity of free space, Electric field) A . ( M L T^{-} ) В. ( M L^{2} T^{-2} ) c. ( M L^{-1} T^{-2} ) D. ( M L^{2} T^{-1} ) | 11 |

508 | Which of the following is incorrect statement? A. A dimensionally correct equation may be correct B. A dimensionally correct equation may be incorrect C. A dimensionally incorrect equation may be correct D. A dimensionally incorrect equation is incorrect | 11 |

509 | Write down the number of significant figures in the following value. ( 62.00 mathrm{m} ) A. four B. three c. ( t w o ) D. on | 11 |

510 | 32. Which of the following is the most precise instrument for measuring length? a. Meter rod of least count 0.1 cm b. Vernier callipers of least count 0.01 cm c. Screw gauge of least count 0.001 cm d. Data is not sufficient to decide | 11 |

511 | In a experiment to measure the height of a bridge by dropping a stone into water underneath,if the error in the measurement of times is ( 0.1 s ) at the end of ( 2 s ),then the error in the estimation of the height of the bridge will be ( mathbf{A} cdot 0.49 m ) B. ( 0.98 m ) c. ( 1.96 m ) D. ( 2.12 m ) | 11 |

512 | The radius of a sphere is measured to be ( (4.0+2.0) mathrm{cm} ) the maximum percentage error in the measurement of the volume of the sphere is A . ( 10 % ) B. 15 % c. ( 20 % ) D. 25 % | 11 |

513 | 3. Which of the following is not equal to watt? (a) Joule/second (b) Ampere x volt (c) (Ampere)2 x ohm (d) Ampere/volt | 11 |

514 | The fractional change in the value of free-fall acceleration ( g ) for a particle when it is lifted from the surface to an elevation ( boldsymbol{h}(boldsymbol{h}<<boldsymbol{R}) ) is : A ( cdot frac{h}{R} ) в. ( frac{2 h}{R} ) ( c cdot-frac{2 h}{R} ) D. ( -frac{h}{R} ) | 11 |

515 | 38. If C (the velocity of light) 8, (the acceleration due to gravity), and P (the atmospheric pressure) are the fundamental quantities in MKS system, then the dimensions of length will be same as that of a. Clg b. C P C . PCg d. C-g 1 | 11 |

516 | Count total number of significant figures in 0.00418 A. 5 B. 4 ( c cdot 3 ) ( D ) | 11 |

517 | The frequency of vibration of the string is given by ( boldsymbol{v}=frac{boldsymbol{p}}{mathbf{2 l}}left[frac{boldsymbol{F}}{boldsymbol{m}}right]^{1 / 2} ) Here, p is the number of segments in the string and I is the length. The dimensional formula for m will be ( mathbf{A} cdotleft[M^{0} L T^{-1}right] ) B ( cdotleft[M L^{0} T^{-1}right] ) ( mathbf{c} cdotleft[M L^{-1} T^{0}right] ) ( mathbf{D} cdotleft[M^{0} L^{0} T^{0}right] ) | 11 |

518 | 27. What are the dimensions of gas constant? a. [M LT-2K-41 b . [M°LT-2K-‘] c. [M L’T-2 K-‘mol-‘1 d. [M°LT-2 K-1 | 11 |

519 | The multiplication of 10.610 with 0.210 upto correct number of significant figure is A . 2.2281 B . 2.228 ( c cdot 2.23 ) D. 2.3 | 11 |

520 | If velocity (V), force (F) and time (T) are chosen as fundamental quantities, express (i) mass and (ii) energy in terms of ( mathrm{V}, mathrm{F} ) and ( mathrm{T} ) | 11 |

521 | Round off following number upto four significant figures ( mathbf{2 . 0 0 8 2 3} ) ( mathbf{A} cdot 2.008 ) в. 2.0082 c. 2.0083 D. 2 | 11 |

522 | Write the number of significant digits in 0.6464: A . 4 B. 3 ( c cdot 5 ) D. None of the above | 11 |

523 | Assertion Angle and angular displacement are dimensionless quantities. Reason Angle is equal to arc length divided by radius. 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 |

524 | What is Knot? A. Unit of measuring wind velocity B. Unit of measuring air pressure C. Unit of measuring temperature D. Condition of sky | 11 |

525 | 37. The frequency fof vibrations of a mass m suspended from a spring of spring constant k is given by f= Cm’K’, where C is a dimensionless constant. The values of x and y are, respectively, 11 a. 22 b. 1 1 23 1 1 c. 1 1 2-2 d. – – – 22 | 11 |

526 | 12. The density of a solid ball is to be determined in an experiment in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is 0.5 mm and there are 50 divisions on the circular scale. The reading on the main scale is 2.5 mm and that on the circular scale is 20 divisions. If the measured mass of the ball has a relative error of 2%, the relative percentage error in the density is a. 0.9% b. 2.4% c. 3.1% d. 4.2% (IIT JEE, 2011) | 11 |

527 | An air bubble inside water oscillates due to some explosion with period T. If ( T propto P^{a} d^{b} E^{c} ) then determine the values of ( a, b ) and ( c . ) Here ( P, d ) and ( E ) are the static pressure, density and total energy of explosion of water, respectively. A ( cdot a=frac{5}{6}, b=1, c=frac{1}{3} ) B. ( a=-frac{5}{6}, b=frac{1}{2}, c=frac{1}{3} ) c. ( a=1, b=1, c=1 ) D. ( a=0, b=0, c=1 ) | 11 |

528 | The S.I. unit of pole strength is A ( . A m^{2} ) в. ( A m ) c. ( A m^{-1} ) D. ( A m^{-2} ) | 11 |

529 | When a current of ( (2.50 pm 0.5) A ) flows through a wire, it develops a potential difference of ( (20 pm 1) V . ) The resistance of the wire is : A. ( (8 pm 2) Omega ) в. ( (10 pm 3) Omega ) c. ( (18 pm 4) Omega ) D. ( (20 pm 6) Omega ) | 11 |

530 | Which of the following is the best method to measure microscopic distances? A. optical microscope B. Meter scale c. screw gauge D. Diffraction pattern | 11 |

531 | as nis (JEL AU 2. The energy of a system as a function of time E(t) = A’exp(-at), wher a=0.25-1. The measurement of A has an errror of 1.25%. If the error in the measurement of time is 1.50%, the percentage error in the value of E(1) at t = 5 s is t (JEE Advanced, 2015) | 11 |

532 | The magnetic moment of electron is : A. ( 9.27 times 10^{-24} ) Joule/Tesla ander B . ( 9.27 times 10^{-24} ) Tesla/Joule c. ( 9.27 times 10^{-23} ) Joule/Tesla D. ( 9.27 times 10^{-23} ) Tesla/Joule | 11 |

533 | The gravitational force which acts on a body of mass ( 1 mathrm{kg} ) on the surface of the earth is ( A cdot 9.8 mathrm{N} ) B cdot ( frac{1}{9.8} ) N c. ( 980 mathrm{N} ) D. ( frac{1}{980} mathrm{N} ) | 11 |

534 | Which of the following measurements is most precise? A. ( 4.00 mathrm{mm} ) B. 4.00 cm c. ( 4.00 mathrm{m} ) D. ( 40.00 mathrm{m} ) | 11 |

535 | The angular diameter of the sun is 1920″. If the distance of the sun from the earth is ( 1.5 times 10^{11} mathrm{m}, ) then the linear diameter of the sun is: A ( cdot 2.6 times 10^{9} mathrm{m} ) В. ( 0.7 times 10^{9} mathrm{m} ) c. ( 5.2 times 10^{9} mathrm{m} ) D. ( 1.4 times 10^{9} mathrm{m} ) | 11 |

536 | Using mass(M), length (L), time(T), and electric current(A) as fundamental quantities, the dimensions of permittivity will be ( mathbf{A} cdotleft[M L T^{-1} A^{-1}right] ) в. ( left[M L T^{-2} A^{-2}right] ) ( mathbf{C} cdotleft[M^{-1} L^{-3} T^{4} A^{2}right] ) D・ ( left[M^{2} L^{-2} T^{-2} Aright. ) | 11 |

537 | Illustration 1.29 The distance covered by a body in time (5.0 +0.6) s is (40.0 + 0.4) m. Calculate the speed of the body. Also determine the percentage error in the speed. | 11 |

538 | 1. The main scale of a Vernier callipers reads 10 mm in 10 divisions. 10 divisions of Vernier scale coincide with 9 divisions of the main scale. When the two jaws of the callipers touch each other, the fifth division of the Vernier coincides with 9 main scale divisions and the zero of the Vernier is to the right of zero of main scale. When a cylinder is tightly placed between the two jaws, the zero of Vernier scale lies slightly to the left of 3.2 cm and the fourth Vernier division coincides with a main scale division. The diameter of the cylinder is (a) 3.09 cm (b) 3.14 cm (c) 3.04 cm (d) none of these | 11 |

539 | 20. The initial and final temperatures of liquid in a container are observed to be 76.3 0.4°C and 67.7 + 0.3°C. Determine the fall in the temperature of the liquid. nanananc-2011 Die oberen | 11 |

540 | What is the dimensional formula of Inductance? ( mathbf{A} cdotleft[M L^{2} T^{-2} A^{-2}right] ) B . ( left[M L^{2} T A^{-2}right] ) ( mathbf{c} cdotleft[M L^{2} T^{-1} A^{-2}right. ) D ( cdotleft[M L^{2} T^{-2} A^{-1}right] ) | 11 |

541 | The least count of a stop watch is ( frac{1}{5} s ) The time of 20 oscillations of a pendulum is measured to be ( 25 s ). What is the maximum percentage error in this measurement? ( A cdot 8 % ) B. 1% ( c .0 .8 % ) D. ( 16 % ) | 11 |

542 | Which of the following quantities has its unit as newton second? A. Energy B. Torque c. Momentum D. Angular momentum | 11 |

543 | While measuring the length of a wooden box, the reading at one end is ( 1.5 mathrm{cm} ) and the other end is ( 4.7 mathrm{cm} . ) What is the length of the wooden box? A. ( 4.7 mathrm{cm} ) B. ( 1.5 mathrm{cm} ) c. 3.2 ( mathrm{cm} ) D. 6.2 cm | 11 |

544 | Which of the following units is a unit of power? A. Kilowatt hour B. Watt c. Erg D. Calorie | 11 |

545 | Light Year is equivalent to how much metre? A ( cdot 9.5 times 10^{15} ) B. ( 950 times 10^{15} ) c. ( 9.5 times 10^{19} ) D. ( 905 times 10^{15} ) | 11 |

546 | sphere of radii ‘a’ and ‘b’ respectively (see figure), has volume charge density ( p=frac{A}{r}, ) Where ( A ) is a constant and ( r ) is the distance from the centre. At the centre of the spheres is a point charge Q. The value of A such that the electric field in the region between the spheres will be constant, is: ( A ) B. ( c cdot frac{2 Q}{pi a^{2} Q} ) D. ( frac{Q}{2 pi a^{2}} ) | 11 |

547 | 1 JUD. DOL 14. The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45 cm. The 24th division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is a. 5.112 cm b. 5.124 cm c. 5.136 cm d. 5.148 cm (JEE Advanced, 2013) | 11 |

548 | What is the dimensional formula of resistance? ( mathbf{A} cdotleft[M^{-1} L^{-2} T^{4} A^{-2}right] ) В ( cdotleft[M L^{2} T^{-5} A^{-3}right] ) C ( cdotleft[M^{-1} L^{-2} T^{4} A^{2}right] ) D. None of these | 11 |

549 | A cube has a side of length ( 1.2 times ) ( 10^{-2} ) m. Calculate its volume? A ( cdot 1.7 times 10^{-6} mathrm{m}^{3} ) В. ( 1.73 times 10^{-6} mathrm{m}^{3} ) c. ( 1.70 times 10^{-6} mathrm{m}^{3} ) D. ( 1.732 times 10^{-6} mathrm{m}^{3} ) | 11 |

550 | ( left[M^{1} L^{2} T^{-3}right] ) are the dimensions of ( ldots ) A. pressure B. power c. force D. work | 11 |

551 | c. 5.4×100 d. 4.8XI0 52. If the velocity (V), acceleration (A), and force (F) are taken as fundamental quantities instead of mass (M), length (L), and time (T), the dimensions of Young’s modulus (Y) would be a. FA2V-4 b. FA2V-5 C. FA2V-3 d. FA2V-2 001 | 11 |

552 | The dimensions of ratio of magnetic flux ( (phi) ) and permeability ( (u) ) are: ( mathbf{A} cdotleft[M^{0} L^{1} A^{1} T^{0}right. ) B . ( left[M^{0} L^{-3} T^{0} A^{1}right] ) ( mathbf{c} cdotleft[M^{0} L^{-1} T^{1} A^{-1}right] ) D・ ( left[M^{0} L^{2} T^{0} A^{1}right] ) | 11 |

553 | How many significant figures are there in ( 30100 ? ) ( mathbf{A} cdot mathbf{1} ) B. 3 ( c cdot 5 ) D. none of these | 11 |

554 | Sl unit of ( g ) i.e. the acceleration due to gravity is A ( cdot m^{2} / s ) B. ( m / s^{2} ) ( mathrm{c} cdot s / m^{2} ) D. ( m / s ) | 11 |

555 | ( 5 times 10^{7} mu s ) is equivalent to A . ( 0.5 mathrm{s} ) B. 5 s ( c .50 mathrm{s} ) D. 500 s | 11 |

556 | 6. Which of the following pairs have the same dimensions? a. hle and magnetic flux b. hle and electric flux c. Electric flux and q/&g d. Electric flux and Mol | 11 |

557 | The error in measurement caused by positioning the eye incorrectly is called A. parallel error B. standard error c. eye error D. parallax error | 11 |

558 | The total mass of a box measured by grocer’s balance is 2.300 kg. Two gold pieces of masses ( 20.15 g ) and ( 20.17 g ) are added to the box. What is:(a) the total mass of the box?(b) the difference in the masses of the pieces to correct significant figures? | 11 |

559 | A derived dimension is something which has some physical sense or is the combination of many fundamental dimensions. If true enter 1 , else enter 0 | 11 |

560 | 9. A student performs an experime erforms an experiment to determine the modulus of a wire, exactly 2 m long, by Searle’s od. In a particular reading, the student measures the extension in the length of the wire on in the length of the wire to be 0.8 mm with an ncertainty of 0.05 mm at a load of exactly 1.0 kg. The udent also measures the diameter of the wire to be 0.4 n with an uncertainty of 0.01 mm. Take g = 9.8 ms (exact). The Young’s modulus obtained from the reading is a. (2.0 + 0.3) x 10″ N m-2 b. (2.0 + 0.2) x 10″ N m2 c. (2.0 + 0.1) X 10″ N m2 d. (2.0 + 0.05) x 10″ N m2 (IIT JEE, 2007) TT DITT | 11 |

561 | Significant figures in 0.00051 are ( A cdot 5 ) B. 3 ( c cdot 2 ) D. 4 | 11 |

562 | The Earth’s radius is ( 6371 k m ). The order magnitude of the Earth’s radius is A ( cdot 10^{3} ) B. ( 10^{2} ) ( c cdot 10^{7} ) D. ( 10^{5} ) | 11 |

563 | 14. The period of oscillation of a simple pendulum is T = 21 L/g. The measured value of L is 20.0 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of 1s resolution. The accuracy in the determination of g is (a) 2% (b) 3% (c) 1% (d) 5% (JEE Main 2015) nehmendef 10 :utine | 11 |

564 | 7. The time period of oscillation of a drop depends on surface tension o, density of the liquid p, and radius r. The relation | 11 |

565 | ( ln operatorname{arclation} F=a sin k_{1} x+b sin k_{2} T ) where ( F, x ) and ( T ) denote the force distance and time respectively. Units of ( k_{1} ) and ( k_{2} ) are respectively a A. meter, ( s ) B . meter ( ^{-1}, s^{-1} ) c. meter ( ^{-1}, s ) D. meter, ( s^{-1} ) | 11 |

566 | In case of measurement of ( g ), if error in measurement of length of pendulum is ( 2 %, ) the percentage error in time period is1 %. The maximum error in measurement of g is A . 1 % в. 2 % c. ( 4 % ) D. no error. | 11 |

567 | The velocity of an object varies with time as ( V=A t^{2}+B t+C . ) Taking the unit of time as ( s ) and velocity as ( m s^{-1} ) the units of ( A, B, C ) respectively are : ( mathbf{A} cdot m s^{-3}, m s^{-2}, m s^{-1} ) B . ( m s^{-2}, m s^{-1}, m s^{-3} ) c. ( m s^{-1}, m s^{-2}, m s^{-3} ) D. ( m s^{-1}, m s^{-1}, m s^{-1} ) | 11 |

568 | Find the maximum possible percentage error in the measurement of force on an object(on mass ( mathrm{m} ) ) travelling at velocity vin a circle of radius ( r, ) if ( m=(4.0 ) plus minus 0.1 ) ( mathrm{kg}, mathrm{v}=(10 text { plus minus } 0.1) mathrm{m} / mathrm{s} ) and ( r=(8.0 text { plus minus } 0.2) m ) A. ( (50 pm 1) mathrm{N} ) B. ( 50 ±2.5 ) N c. ( (50 pm 1.5) mathrm{N} ) D. ( (50 pm 3.5) ) N | 11 |

569 | 31. In an experiment for determining the value of acceleration due to gravity (8) using a simple pendulum, the following observations were recorded: Length of the string (I) = 98.0 cm Diameter of the bob (d) = 2.56 cm Time for 10 oscillations (T) = 20.0 s Calculate the value of g with maximum permissible absolute error and the percentage relative error. | 11 |

570 | The refractive index ( (mu) ) of glass is found to have the values 1.49,1.50,1.52,1.54 and 1.48 Calculate the mean value of refractive index. A . 1.49 в. 1.50 c. 1.51 D. 1.52 | 11 |

571 | On a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Cindy’s car got on this trip must have been between A ( cdot frac{290}{12.5} ) and ( frac{290}{11.5} ) В ( cdot frac{295}{12} ) and ( frac{285}{11.5} ) c. ( frac{285}{12} ) and ( frac{295}{12} ) D. ( frac{285}{12.5} ) and ( frac{295}{11.5} ) E ( cdot frac{295}{12.5} ) and ( frac{285}{11.5} ) | 11 |

572 | The measured mass and volume of a body are ( 53.63 g ) and ( 5.8 mathrm{cm}^{3} ) respectively, with possible errors of ( 0.01 g ) and ( 0.1 mathrm{cm}^{3} . ) The maximum percentage error in density is about: A . ( 0.2 % ) в. ( 1.74 % ) c. ( 5 % ) D. ( 10 % ) | 11 |

573 | The dimensions of latent heat are – A ( cdot M^{0} L^{2} T^{-2} ) В. ( M^{0} L^{1} T^{-2} ) c. ( M^{2} L^{0} T^{-2} ) D. ( M^{0} L^{-2} T^{-2} ) | 11 |

574 | 8. In an experiment, the angles are required to be measured using an instrument. Twenty-nine divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half-a- degree (0.5%), then the least count of the instrument is (a) one minute (b) half minute (c) one degree (d) half degree (AIEEE 2009) iment RAL AL | 11 |

575 | A woman weighs 500 N earth. With how much forces her body pulling up on the earth? A. O newton B. Between O and 500 newton c. 500 newton D. between 500 and 1000 newton E. greater than 1000 newton | 11 |

576 | Astronomical unit (AU) is the distance between earth and the sun, 1 AU is equal to the A ( cdot 1.496 times 10^{8} k m ) В. ( 9.46 times 10^{12} k m ) c. ( 3.084 times 10^{13} k m ) D. ( 4.596 times 10^{15} mathrm{km} ) | 11 |

577 | Density of water is ( mathbf{A} cdot 1000 k g / m^{3} ) B . ( 1 k g / m^{3} ) ( mathbf{c} cdot 1000 g / mathrm{cm}^{2} ) D. ( 100 k g / m^{3} ) | 11 |

578 | Complete the table choosing the right term from the list given in brackets: ( left(10^{9}right. ) micro, ( left.mathbf{d}, mathbf{1 0}^{-mathbf{9}}, mathbf{m i} | mathbf{i}, mathbf{m}, mathbf{M}right) ) begin{tabular}{lll} Factor & Prefix & Symbol \ ( 10^{-1} ) & deci & \ ( 10^{-6} ) & & ( mu ) \ & giga & G \ ( 10^{6} ) & mega & \ hline end{tabular} | 11 |

579 | The random error which exists invariably in screw gauge is: A. least count error B. zero error c. gross error D. backlash error | 11 |

580 | Cloud chamber technique is experimentally used for. A. Measurement of specific charge B. Measurement of electronic charge C. Measurement of electronic mass D. Studying the interaction of charges in cloud | 11 |

581 | If the energy ( (boldsymbol{E}), ) velocity ( (boldsymbol{v}) ) and force ( (F) ) be taken as fundamental quantities, then the dimensions of mass will be A. ( F v^{-2} ) B. ( F v^{-1} ) ( mathbf{c} cdot E v^{-2} ) D. ( E v^{2} ) | 11 |

582 | If force, acceleration and time are taken as fundamental quantities, then the dimensions of length will be A. ( F T^{2} ) B . ( F^{-1} A^{2} T^{-1} ) c. ( F A^{2} T ) D. ( A T^{2} ) | 11 |

583 | ( k g m s^{-1} ) is the Sl unit of A. Impulse B. Force c. Angular velocity D. None of these | 11 |

584 | A star is 1.45 parsec light years away. How much parallax would this star show when viewed from two locations of the earth six months apart in its orbit around the sun? A .2 Parsec B. 0.725 Parsec c. 1.45 Parsec D. 2.9 Parsec | 11 |

585 | How many seconds are there in a week? A . 60480 B. 604800 c. 6048000 D. 6048 | 11 |

586 | A device used to measure volume of liquids is This question has multiple correct options A. Burette B. Density bottle c. Pipette D. common balance | 11 |

587 | The comparison of an unknown quantity with a known constant quantity is known as: A. Unit B. Scale c. Magnitude D. Measurement | 11 |

588 | Unit of density and relative density are same. A . True B. False | 11 |

589 | 55. The resistance of a metal is given by R = VII, where V is potential difference and I is the current. In a circuit, the potential difference across resistance is V = (8 + 0.5) V and current in resistance, I = (4 +0.2) A. What is the value of resistance with its percentage error? a. (2 + 5.6%) 12 b. (2 +0.7%) 2 c. (2 + 35%) 12 d. (2 + 11.25%) 22 | 11 |

590 | Let ( x ) and ( a ) stand for distance. Show that ( int frac{d x}{sqrt{a^{2}-x^{2}}}=frac{1}{a} sin ^{-1} frac{a}{x} ) dimensionally correct. | 11 |

591 | 9. If x=at + bt, where x is the distance travelled by the body in kilometres while t is the time in seconds, then the unit of b is (a) km/s (b) km-s (c) km/s2 (d) km-s? | 11 |

592 | ( Tau 3 7. Which of the following is not a unit of energy? (a) W-s (b) kg-m/sec (c) N-m (d) Joule | 11 |

593 | 7. In C.G.S. system the magnitude of the force is 100 dynes. In another system where the fundamental physical quantities are kilogram, metre and minute, the magnitude of the force (a) 0.036 (c) 3.6 (b) 0.36 (d) 36 1 .1 – meituin mensured and ita volne in found ta | 11 |

594 | Dimensions of specific heat are : A ( cdotleft[M L^{2} T^{-2} Kright] ) ( mathbf{B} cdotleft[M L^{2} T^{-2} K^{-1}right] ) C ( cdotleft[M L^{2} T^{2} K^{-1}right] ) D・ ( left[L^{2} T^{-2} K^{-1}right] ) | 11 |

595 | L10 LU- Illustration 1.6 A calorie is a unit of heat or energy and it equals about 4.2 J, where 1 J= 1 kg m’s. Suppose we employ a system of units in which the unit of mass equals a kg, the unit of length equals Bm, the unit of time is ys. Show that a calorie has a magnitude 4.2 a’B’y in terms of the new units. 2.-2 | 11 |

596 | The length, breadth and thickness of a block are given by ( l=12 mathrm{cm}, b=6 mathrm{cm} ) and ( t=2.45 mathrm{cm} . ) The volume of the block according to the idea of significant figure should be A ( .2 times 10^{2} ) В. ( 2 times 10^{2} c m^{3} ) c. ( 1.763 times 10^{2} c m ) D. None of these | 11 |

597 | The vertical limbs of a ( U ) shaped tube are filled with a liquid of density ( boldsymbol{p} ) upto a height ( h ) on each side. The horizontal portion of the ( U ) tube having length ( 2 h ) contains a liquid of density ( 2 p . ) The ( U ) is moved horizontally with an accelerator ( boldsymbol{g} / 2 ) parallel to the horizontal arm. The difference in heights in liquid levels in th two vertical limbs, at steady state will be A ( cdot frac{2 h}{7} ) B. ( frac{8 h}{7} ) ( c cdot frac{4 h}{7} ) D. None of these | 11 |

598 | Determine the number of significant figure in the following. ( 3.64 times 10^{45} mathrm{kg} ) | 11 |

599 | 5. Choose the correct statement(s). a. A dimensionally correct equation must be correct. b. A dimensionally correct equation may be correct. c. A dimensionally incorrect equation must be incorrect. d. A dimensionally incorrect equation may be correct. | 11 |

600 | The numbers 2.745 and 2.735 on rounding off to 3 significant figures will give: A. 2.75 and 2.74 B. 2.74 and 2.73 c. 2.75 and 2.73 D. 2.74 and 2.74 | 11 |

601 | Illustration 1.23 If there is a positive error of 50% in the measurement of velocity of a body, find the error in the measurement of kinetic energy. | 11 |

602 | Show that the expression of the time period ( T ) of a simple pendulum of length ( l ) given by ( T=2 pi sqrt{frac{l}{g}} ) is dimensionally correct. A. As in the above equation, the dimensions of both sides are same. The given formula is dimensionally correct B. The dimension of LHS and RHS are not same c. It cannot be solved D. None of these | 11 |

603 | In a number without decimal, what is the significance of zeros on the right of non-zero digits? | 11 |

604 | Full name of the unit named in the honour of a scientist is written with A. Lower initial letter B. Initial capital letter c. Lower letter D. All | 11 |

605 | If measurements for a given substance are close to the known value, but the measurements are far from each other, then you have without Fill the appropriate answers. A. Accuracy, Precision B. Precision, Accuracy c. This situation is not possible D. None of these | 11 |

606 | In Searle’s experiment to find Young’s modulus, the diameter of wire is measured as ( D=0.05 mathrm{cm}, ) the length of wire is ( L=125 c m, ) and when a weight, ( boldsymbol{m}=20 k g ) is the put, extension in wire was found to be ( 0.100 mathrm{cm} ). Find the maximum permissible error in Young’s modulus ( (Y) ) | 11 |

607 | Pontage II 12. a. Two plates a. Two plates have lengths measured as (1.929. +0.2) m. Calculate their combined length with error limits. The initial and final temperatures of a liquid are measured to be 67.7 + 0.2°C and 76.3 + 0.3°C. Calculate the rise in temperature with error limits. TA | 11 |

608 | Aluminium has a density of ( 2.7 g / c c ) The mass of ( 15 c c ) of aluminium is ( mathbf{A} cdot 45 g ) в. ( 40.5 g ) c. ( 80 g ) D. ( 100 g ) | 11 |

609 | The mass of a solid rectangle block of iron is ( 23.6 g ) and its dimensions are ( 2.1 mathrm{cm} times 1.2 mathrm{cm} times 1.1 mathrm{cm} . ) Calculate the density of iron. | 11 |

610 | If acceleration ( (A), operatorname{mass}(M), ) velocity ( V ) ), time ( (T) ) are the fundamental units, then the dimensions of height will be A ( cdot V T^{-1} M^{2} ) в. ( A M T^{-1} ) c. ( A^{-1} M^{3} V^{-1} ) D. ( A T^{2} ) | 11 |

611 | Kilowatt hour (kWh) represents the unit of A. Power B. Impulse c. Momemtum D. Energy | 11 |

612 | In an experiment the following observations were recorded ( boldsymbol{L}=mathbf{2 . 8 9 0} ) metre ( mathbf{M}=mathbf{3 . 0} mathbf{k g} ) ( ell=0.87 mathrm{cm} ) ( mathbf{D}=mathbf{0 . 0 4 1} mathrm{cm} ) ( mathbf{g}=mathbf{9 8 1 c m} / mathbf{s e c ^ { 2 }} ) and the formula used for calculatlon of Young’s modulus ( (mathrm{Y}) ) is ( mathrm{Y}=frac{mathrm{MgL}}{pi mathrm{r}^{2} l} ) What is the maximum possible error expressed in percentage? A . 6.36% B. 4.8% c. अ% D. 1% | 11 |

613 | Always in a physical quantity, the numerical value is inversely proportional to its units. ( N propto frac{1}{U} ) | 11 |

614 | If all measurements in an experiment are taken up to the same number of significant figures, then mention two possible reasons for maximum error | 11 |

615 | If accuracy of weighing machine is better than ( 1 / 2 ) percent, a student record his own mass. Choose the option that explains the recording most accurately. A. ( 6.43 mathrm{kg} ) B. 60 kg ( c cdot 64.3 mathrm{kg} ) D. 600kg E. ( 643 mathrm{kg} ) | 11 |

616 | 13. Ampere-hour is a unit of (a) Quantity of electricity (b) Strength of electric current (c) Power (d) Energy | 11 |

617 | Two resistances ( r_{1}=(5.0 pm 0.2) Omega ) and ( r_{2}=(10.0 pm 0.1) Omega ) are connected in parallel. Find the value of equivalent resistance with limits of percentage error. A ( cdot r_{p}=4 Omega pm 7 % ) B . ( r_{p}=3.3 Omega pm 14 % ) ( mathbf{c} cdot r_{p}=3.3 Omega pm 3.5 % ) D . ( r_{p}=3.3 Omega pm 7 % ) | 11 |

618 | Specific gravity of the body is numerically equal to of the body. A. apparent weight in water B. density c. relative density D. thermal capacity | 11 |

619 | A piece of thread folded 6 times is placed along a ( 15 mathrm{cm} ) long measuring scale as shown in the figure. The length of the thread is between A. ( 0.15-0.50 mathrm{m} ) B. ( 0.50 mathrm{m}-1.0 mathrm{m} ) c. ( 1.0 mathrm{m}-1.5 mathrm{m} ) D. ( 1.5 mathrm{m}-2.0 mathrm{m} ) | 11 |

620 | The density of a cube is measured by measuring its mass ad length of its side. If the maximum errors in the measurement of its mass and length are ( 3 % ) and ( 2 % ) respectively, the maximum error in the measurement of density would be: A . ( 12 % ) B. ( 14 % ) c. ( 7 % ) D. ( 9 % ) | 11 |

621 | The moon is observed from two diametrically opposite points on earth. The angle subtended at the moon by the two directions of observations is ( 1^{circ} 54^{prime} ) Given the diameter of the earth to be about ( 2.276 times 10^{7} m, ) compute the distance of moon from the earth. A ( cdot 1 times 10^{8} m ) В. ( 6.84 times 10^{8} mathrm{m} ) c. ( 6.84 times 10^{10} m ) D. ( 38.4 times 10^{8} mathrm{m} ) | 11 |

622 | 10. The best method to reduce random error is a. To change the instrument used for measurement b. To take help of experienced observer c. To repeat the experiment many times and to take the average results d. None of the above | 11 |

623 | Which definition is correct and uses only quantities rather than units? A. Density is mass per cubic metre B. Potential difference is energy per unit current c. Pressure is force per unit area D. speed is distance traveled per second | 11 |

624 | ( ln ) S.I. system, the value of ( varepsilon_{0} ) is: ( mathbf{A} cdot 1 C^{2} N^{-1} m^{-1} ) B ( cdot 9 times 10^{9} C^{2} N^{-1} m^{-2} ) C ( cdot frac{1}{9 times 10^{9}} C^{2} N^{-1} m^{-2} ) D. ( frac{1}{4 pi times 9 times 10^{9}} C^{2} N^{-1} m^{-2} ) | 11 |

625 | What is a leap year? A . 366 в. 365 ( c .364 ) D. 363 | 11 |

626 | Dimension of ( epsilon_{0} ) are ( mathbf{A} cdotleft[M^{0} L^{0} T^{0} A^{0}right] ) в. ( left[M^{0} L^{-3} T^{3} A^{3}right. ) ( mathbf{c} cdotleft[M^{-1} L^{-3} T^{3} A^{1}right] ) ( mathbf{D} cdotleft[M^{-1} L^{-3} T^{4} A^{2}right] ) | 11 |

627 | 17. In the relation y=r sin (@t – kx), the dimensions of olk are a. [M°C°T°) b. [MºLT-] c. [MºLT’) d. [Mºltº | 11 |

628 | A liquid drop placed on a horizontal plane has a near spherical shape (slightly flattened due to gravity). Let ( boldsymbol{R} ) be the radius of its largest horizontal section. A small disturbance causes the drop to vibrate with frequency ( v ) about its equilibrium shape. By dimensional analysis the ratio ( frac{v}{sqrt{frac{sigma}{rho R^{3}}}} ) can be (Here ( sigma ) is surface tension, ( rho ) is density, ( g ) is acceleration due to gravity, and ( k ) is an arbitrary dimensionless constant). ( ^{mathrm{A}} cdot frac{k rho g R^{2}}{sigma} ) в. ( frac{k rho R^{2}}{g sigma} ) c. ( frac{k rho R^{3}}{g sigma} ) D. ( frac{k rho}{g sigma} ) | 11 |

629 | 11 OD 10 3. Write the dimensions of the following in terms of mass, time, length, and charge. a. Magnetic flux b. Rigidity modulus (IIT JEE, 1982) 1 . . th | 11 |

630 | The circumference of a circle exceeds its diameter by ( 16.8 mathrm{cm} . ) Find the radius of the circle. | 11 |

631 | The length, breadth and height of a glass slab are respectively ( 50 mathrm{cm}, 20 mathrm{cm} ) and ( 25 c m . ) Find the order of magnitude of volume of slab in Sl unit A ( cdot 10^{-2} m^{3} ) В ( cdot 10^{-4} m^{3} ) ( mathbf{c} cdot 10^{-3} m^{3} ) D. ( 10^{-3} mathrm{cm}^{3} ) | 11 |

632 | Two clocks are being tested against a standard clock located in a nationa laboratory. At 12: 00: 00 noon bv the standard clock, the readings of the two clocks are: ( begin{array}{lll} & text { Clock 1 } & text { Clock 2 } \ text { Monday } & 12: 00: 05 & 10: 15: 06 \ text { Tuesday } & 12: 01: 15 & 10: 14: 59 \ text { Wednesday } & 11: 59: 08 & 10: 15: 18 \ text { Thursday } & 12: 01: 50 & 10: 15: 07 \ text { Friday } & 11: 59: 15 & 10: 14: 53 \ text { Saturday } & 12: 01: 30 & 10: 15: 24 \ text { Sunday } & 12: 01: 19 & 10: 15: 11end{array} ) If you are doing an experiment that requires precision time interval measurements, which of the two clocks will you prefer? | 11 |

633 | A particle of mass ( m ) is in a uni- directional potential field where the potential energy of a particle depends on the ( x ) -coordinate given by ( phi_{x}= ) ( phi_{0}(1-cos a x) &^{prime} phi_{0}^{prime} ) and ( ^{prime} a^{prime} ) are constants. Find the physical dimensions of ( ^{prime} boldsymbol{a}^{prime} & boldsymbol{phi}_{0} ) A ( cdot L^{-1}, M^{1} L^{2} T^{-2} ) B . ( L^{-2}, M^{1} L^{3} T^{-2} ) C ( cdot L^{-1}, M^{0} L^{2} T^{-1} ) D. None of these | 11 |

634 | Express the following derived units in terms of the fundamental units of length, mass and time. 1) Speed 2) Area 3) Acceleration 4) Density 5) Volume | 11 |

635 | Find the dimensional formula of coefficient of viscosity ( boldsymbol{eta} ) | 11 |

636 | If ( bar{A} ) and ( bar{B} ) two different physical quantities, Which of the following mathematical operations is/are valid. A. ( bar{A}+bar{B} ) в. ( overline{A . bar{B}} ) c. ( bar{A} times bar{B} ) D. Both and (b) and (c) | 11 |

637 | ILLUSTRATION 33.4 Find the thickness of the wire. If we put a wire between jaws Object UU (mm) | 11 |

638 | 5. A diamond weighs 3.71 g. It is put into a box weighing 1.4 kg. Find the total weight of the box and diamond to the correct number of significant figures. 11 . 1 1 | 11 |

639 | ( 60 mathrm{cc} ) of a liquid of relative density 1.4 is mixed with ( 40 mathrm{cc} ) of another liquid of relative density 0.8. The density of the resulting mixture will be A. ( 1.16 mathrm{g} / mathrm{cc} ) B. 2.26 g/cc c. ( 11.6 mathrm{g} / mathrm{cc} ) D. 116 g/cc | 11 |

640 | toppr Q Type your question ( A ) B. ( c ) ( D ) | 11 |

641 | The dimensional formula for Areal velocity is : A ( cdot M^{0} L^{-2} T^{-1} ) B . ( M^{0} L^{-2} T^{1} ) c. ( M^{0} L^{2} T^{-1} ) D. ( M^{0} L^{2} T^{1} ) | 11 |

642 | Which of the following pair of quantities do not have the same dimensions? A. Potential gradient, electric field B. Torque, kinetic energy c. Light year, time period D. Impedance, reactance | 11 |

643 | In the figures given, identify the type of zero error and also suggest the correction to be made, by reasoning it outt | 11 |

644 | The mass of a beaker is found to be ( mathbf{1 0 . 1} pm mathbf{0 . 1} ) ) gm when empty and ( (17.3 pm 0.1) g m ) when partially filled with a liquid. What is the best value for the mass of the liquid together with the possible limits of accuracy? A ( .(7.2 pm 0.2) g m ) в. ( (7.2 pm 0.1) g m ) ( mathbf{c} .(7.1 pm 0.2) g m ) D. ( (7.2 pm 0.3) g m ) | 11 |

645 | Write down the number of significant figures in ( 12.00 mathrm{N} ) A. four B. three c. two D. one | 11 |

646 | COPO-0.0J) PD- 13. You measure two quantities as A = 1.0 m + 0.2 m, B = 2.0 m + 0.2 m. We should report correct value for VAB as (a) 1.4 m + 0.4 m (b) 1.41 m + 0.15 m (c) 1.4 m + 0.3 m (d) 1.4 m 0.2 m 1 . 1 c . | 11 |

647 | The force ( F ) is given in terms of time ( t ) and displacement ( x ) by the equation ( F=A ) ( cos B x+C sin D t . ) The dimensional formula of D/B is ( mathbf{A} cdotleft[M^{o} L^{o} T^{o}right] ) в. ( left[M^{circ} L^{circ} T^{-1}right] ) ( mathbf{c} cdotleft[M^{o} L^{-1} T^{o}right] ) D・ ( left[M^{circ} L^{1} T^{-1}right] ) | 11 |

648 | To minimise parallax error, the observer should place the object: ( A cdot ) as near to the scale of the ruler as possible and the eye must be directly above the scale B. as far to the scale of the ruler as possible and the eye must be directly above the scale C. as near to the scale of the ruler as possible and the eye must be to the right of the scale D. as near to the scale of the ruler as possible and the eye must be to the left of the scale | 11 |

649 | 76. The dimensional formula for a physical quantity x is [M-‘LT-2]. The errors in measuring the quantities M, L, and T, respectively, are 2%,3%, and 4%. The maximum percentage of error that occurs in measuring the quantity x is a. 9 b . 10 c. 14 d. 19 | 11 |

650 | With the increase in temperature, the density of substance, in general, A. increases B. decreases c. first increases then decreases D. first decreases then increases | 11 |

651 | Which of the following is/are correct? This question has multiple correct options A. Random errors can not be estimated by repeating a measurement several (perhaps many) times. B. Random errors can result due to unpredictable fluctuations in temperature or line voltage during experimental measurements. C. Am impoperly “Zeroed” instrument (such as an ammeter) can result in systematic errors. D. Large degree of precision implies accuracy. | 11 |

652 | Illustration 1.38 10 rotations of the cap of a screw gauge is equivalent to 5 mm. The cap has 100 divisions. Find the least count. A reading taken for the diameter of wire with the screw gauge shows four complete rotations and 35 divisions on the circular scale. Find the diameter of the wire. | 11 |

653 | The order of magnitude of seconds in a day is ( 10^{x} ). What is ( x ) | 11 |

654 | A diamond weighs ( 3.71 g ). It is put into a box weighing ( 1.4 k g . ) Find the total weight of the box and diamond to the correct number of significant figures. | 11 |

655 | 9. Consider three quantities: x= =, and z=- CR ✓MEO Here, 7 is the length of a wire, C is the capacitance, and R is a resistance. All other symbols have usual meanings. Then a. x and y have the same dimensions. b. x and z have the same dimensions. c. y and z have the same dimensions. d. None of the above three pairs have the same dimensions. | 11 |

656 | The characteristic of a good unit is A. It should be universally accepted B. It should be invariable and not perishable C. It should be easily available & easy to reproduce D. All of these | 11 |

657 | 9. A physical quantity x depends on quantities y and z as follows: x = Ay+ B tan Cz, where A, B and C are constants. Which of the following do not have the same dimensions? (a) x and B (b) Cand z-1 (c) y and BIA (d) x and A | 11 |

658 | 28. The order of magnitude of 499 is 2, then the order o magnitude of 501 will be a. 4 3b. 2 c. 1 d. 3 e . | 11 |

659 | Using mass ( (M), ) length ( (L), ) time ( (T) ) and current ( (A) ) as fundamental quantities, the dimensional formula of permittivity is ( mathbf{A} cdotleft[M L^{-2} T^{2} Aright] ) B ( cdotleft[M^{-1} L^{-3} T^{4} A^{2}right] ) ( mathbf{c} cdotleft[M L T^{-2} Aright] ) D・ ( left[M L^{2} T^{-1} A^{2}right] ) | 11 |

660 | 11. A length is measured as 7.60 m. This is the same as a. 7600 mm b. 0.0076 mm c. 760 cm d. 0.76 dm | 11 |

661 | If ( boldsymbol{v}=frac{boldsymbol{A}}{boldsymbol{t}}+boldsymbol{B} boldsymbol{t}^{2}+boldsymbol{C} boldsymbol{t}^{3} ) where ( mathbf{v} ) is velocity, t is time and ( A, B ) and ( C ) are constant then the dimensional formula of B is? ( mathbf{A} cdotleft[M^{0} L T^{0}right] ) ( mathbf{B} cdotleft[M L^{0} T^{0}right] ) ( mathbf{c} cdotleft[M^{0} L^{0} Tright] ) ( mathbf{D} cdotleft[M^{0} L T^{-3}right] ) | 11 |

662 | 68. The relation tan 0 = v’lrg gives the angle of banking of the cyclist going round the curve. Here v is the speed of the cyclist, r is the radius of the curve, and g is the acceleration due to gravity. Which of the following statements about the relation is true? a. It is both dimensionally as well as numerically correct. b. It is neither dimensionally correct nor numerically correct. c. It is dimensionally correct but not numerically. d. It is numerically correct but not dimensionally. | 11 |

663 | The prefix used for denoting an order of magnitude of ( 10^{6} ) is A . Giga B. Kilo c. Mega D. Micro | 11 |

664 | Find the dimensions of: (i) Power (ii) Forces and (iii) Permittivity of vacuum ( left(varepsilon_{o}right) ) | 11 |

665 | 15. Using the expression 2d sin 0= 2, one calculates the values of d by measuring the corresponding angles in the range 0° to 90°. The wavelength 2 is exactly known and the error in Ois constant for all values of 0. As O increases from 0°, a. the absolute error in d remains constant. b. the absolute error in d increases. c. the fractional error in d remains constant. d. the fractional error in d decreases. (JEE Advanced, 2013) | 11 |

666 | The number of significant figures in the numbers 672.9 and ( 2.520 times 10^{7} ) are A .4,4 в. 3,4 c. 4,3 D. 3,3 | 11 |

667 | A pendulum clock keeps correct time at ( 20^{circ} mathrm{C} . ) The correction to be made during summer per day where the average temperature is ( 40^{circ} C,left(alpha=10^{-5} /^{circ} Cright) ) will be: A. 5.64 sec B. 6.64 sec c. 7.64 sec D. 8.64 sec | 11 |

668 | 6. Which of the following sets has different dimensions? a. Pressure, Young’s modulus, stress b. Emf, potential difference, electric potential c. Heat, work done, energy d. Dipole moment, electric flux, electric field (IIT JEE, 2005) | 11 |

669 | Multiple Correct Answers Type Which of the following pairs have different dimensions? This question has multiple correct options | 11 |

670 | specific resistance p of a circular wire of radius r, resistance R, and length 1 is given by p= 1 r=0.24 +0.02 cm. R=30+ 112, and 1=4.80 +0.01 cm. The percentage error in p is nearly a. 7% b. 9% c. 13% d. 20% | 11 |

671 | The unit of Radiation exposure is? | 11 |

672 | Light year is the A. light emitted by the sun in one year. B. the time taken by light to travel from sun to earth. C. the distance travelled by light in free space in one year. D. the time taken by earth to go once around the sun. | 11 |

673 | Four pieces of wooden sticks ( P, Q, R ) and S are placed along the length of ( 15 mathrm{cm} ) long scale as shown in figure. What is the average length of these sticks? A . 2.0 B. 2.5 ( mathrm{cm} ) c. ( 2.6 mathrm{cm} ) D. 2.9 ( mathrm{cm} ) | 11 |

674 | 18. The dimensions of EoMo are a. [LT-] b. [LT-2] c. [L²T-2 d. [L272 | 11 |

675 | The mass ‘ ( M^{prime} ) of a stone that can be moved by water current depends upon velocity ‘ ( V^{prime} ) of the stream, density of water ‘ ( d ) and acceleration due to gravity ‘g’. The relation between the mass and velocity is: ( mathbf{A} cdot M propto V^{6} ) B. ( M propto V^{2} ) c. ( M propto d^{2} ) D. ( M propto V ) | 11 |

676 | Which of the following functions of ( boldsymbol{A} ) and ( B ) may be performed if ( A ) and ( B ) possess different dimensions? A ( cdot frac{A}{B} ) B. ( A+B ) c. ( A-B ) D. None | 11 |

677 | Give two examples of the fundamenta physical quantities along with their S. units. | 11 |

678 | Point the odd one out Hydrometer, density bottle, physical balance A. physical balance B. density bottle c. hydrometer D. NONE | 11 |

679 | Fill in the blanks with suitable units of measurements. The distance I walk in 10 minutes is about one | 11 |

680 | ( alpha=frac{F v^{2}}{beta^{2}} log _{e}left(frac{2 pi beta}{v^{2}}right) ) where ( F= ) force = velocity Find the dimensions of ( alpha ) and ( beta ) | 11 |

681 | Write down the number of significant figures in ( 0.00628 mathrm{cm} ) A. four B. three c. two D. one | 11 |

682 | What is the value of 1 nano-second in second? A ( cdot 10^{-9} ) ( 9^{-9} ) B. ( 10^{-6} ) ( c cdot 10^{-8} ) D. ( 10^{-10} ) | 11 |

683 | Assertion 10 decades make a century. Reason century makes 100 years and 1 decade make 10 years. 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 |

684 | Define the term standard unit. | 11 |

685 | ( 0.0008 m=8 times 10^{-x} m . ) Find ( x ) | 11 |

686 | The effect of an impulse force on the body is measured only in terms of its A. Force B. Moment of momentum c. Impulse D. None of these | 11 |

687 | 2. In the formula X = 3YZ², X and Z have dimensions of capacitance and magnetic induction, respectively. The dimensions of Y in M.K.S. system are (IIT JEE, 1985) | 11 |

688 | Which one of the following is not a unit of Young’s modulus? ( mathbf{A} cdot N m^{-1} ) B. ( N m^{-2} ) c. Dyne ( c m^{-2} ) D. Mega pascal | 11 |

689 | The radius of the earth is given ( 6.4 times ) ( 10^{6} m . ) What is the order of magnitude of the size of the earth? ( mathbf{A} cdot 10^{6} m ) B . ( 6 times 10^{6} mathrm{m} ) ( mathbf{c} cdot 10^{7} m ) D . ( 5 times 10^{6} m ) | 11 |

690 | The Sl unit of static coefficient of friction is A. B. Nm c. ( frac{N}{m} ) D. it is unit less | 11 |

691 | elation V _ N Pr4 45. In the relation V = –, where the letters have their 8 nl usual meanings, the dimensions of V are a. M°L T° b. MLT-1 c. M°L-3 T-1 d. M’L T° 11 11 | 11 |

692 | What will be the weight of a body of mass ( m ) kg at the centre of the earth? A. ( m g ) newton B. ( m / g ) newton c. ( m ) newton D. 0 newton | 11 |

693 | In system called the star system we have 1 star kilogram ( =10^{20} k g .1 ) starmeter ( =10^{8} m, 1 ) starsecond ( = ) ( 10^{3} )second then calculate the value of 1 joule in this system. A ( cdot 10^{-30} ) star joule B . ( 10^{-27} ) star joule C ( .10^{-32} ) star joule D. None of these | 11 |

694 | The error in the measurement of the radius of a sphere is ( 1 % . ) Find the error in the measurement of volume? | 11 |

695 | 13. An athletic coach told his team that muscle times speed equals power. What dimensions does he view for muscle? (a) MLT-2 (b) MLPT-2 (c) MLT (d) L | 11 |

696 | In an experiment, the percentage of error occurred in the measurement of physical quantities ( A, B, C ) and ( D ) are ( 1 % ) ( 2 %, 3 % ) and ( 4 % ) respectively. Then the maximum percentage of error in the measurement ( mathbf{X}, ) where ( boldsymbol{X}=frac{boldsymbol{A}^{mathbf{2}} boldsymbol{B}^{mathbf{1} / mathbf{2}}}{boldsymbol{C}^{mathbf{1} / mathbf{3}} boldsymbol{D}^{mathbf{3}}} ) will be A ( cdotleft(frac{3}{13}right) % ) B. ( 16 % ) c. ( -10 % ) D. ( 10 % ) | 11 |

697 | The standard quantity used for comparison is called Unit. A. True B. False | 11 |

698 | 1 Parsec is equivalent to how much AU? A . 206 B. 206264000 ( c cdot 206264 ) D. 20600 | 11 |

699 | 50. If L, R, C, and V, respectively, represent inductance, resistance, capacitance and potential difference, then the dimensions of L/RCV are the same as those of a. Charge b. 1/Charge c. Current d. 1/Current | 11 |

700 | A gas bubble from an explosion under water oscillation with a period proportional to ( P^{a}, d^{b}, E^{c} ) where ( P ) is the static pressure, ( d ) is the density of water and ( boldsymbol{E} ) is the energy of explosion. Then ( a, b ) and ( c ) respectively are A ( cdot quad-frac{5}{6}, frac{1}{2}, frac{1}{3} ) в. ( frac{1}{2}, frac{-5}{6}, frac{1}{3} ) c. ( frac{1}{3}, frac{1}{2}, frac{-5}{6} ) D. 1,1,1 | 11 |

701 | Let us consider an equation ( frac{1}{2} m u^{2}= ) ( m g h, ) where ( m ) is mass of the body, ( v ) its velocity, ( g ) is the acceleration due to gravity and ( R ) is the Right. Check whether this equation is dimensionally correct | 11 |

702 | The magnitude of a physical quantity consists of A. a number and a unit B. a number c. a unit D. a unit and its symbol | 11 |

703 | The speed of sound in a gas is given by ( boldsymbol{v}=sqrt{frac{gamma boldsymbol{R} boldsymbol{T}}{boldsymbol{M}}} ) ( R= ) universal gas constant ( boldsymbol{T}= ) temperature ( M= ) molar mass of gas The dimensional formula of ( gamma ) is ( mathbf{A} cdotleft[M^{0} L^{0} T^{0}right. ) B . ( left[M^{0} L T^{-1}right] ) ( mathbf{c} cdotleft[M L T^{-2}right] ) D cdot ( left[M^{0} L^{0} T^{-1}right] ) | 11 |

704 | 2. There are four Vernier scales, whose specifications are given in Column I and the least count is given in Column II. Match the Columns I and II with correct specification and corresponding least count (s = value of main scale division, n=number of marks on Vernier). Assume (n-1) main scale divisions are equal to n Vernier divisions. Column I i. s = 1 mm, n= 10 ü. s=0.5 mm, n= 10 iii. s=0.5 mm, n=20 iv. S= 1 mm, n= 100 Column II 0.05 mm 0.01 mm 0.1 mm d. 0.025 mm | 11 |

705 | A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is ( 90 s, 91 s, 95 s ) and ( 92 s . ) If the minimum division in the measuring clock is ( 1 s ) then the reported mean time should be: A ( .92 pm 2 s ) В. ( 92 pm 5.0 s ) c. ( 92 pm 1.8 s ) D. ( 92 pm 3 ) s | 11 |

706 | Dimensional methods provide three major advantages in verification, derivation and changing the system of units. Any empirical formula that is derived based on this method has to be verified and proportionality constants found by experimental means. The presence or absence of certain factors – non dimensional constants or variables cannot be identified by this method. So every dimensionally correct relation cannot be taken as perfectly correct. The time period of oscillation of a drop depends on surface tenson ( sigma, ) density of the liquid ( rho, ) and radius ( r . ) The relation is B. ( sqrt{frac{r^{2}}{rho sigma}} ) c. ( sqrt{frac{r^{3} rho}{sigma}} ) D. ( sqrt{frac{rho sigma}{r^{3}}} ) | 11 |

707 | The number of significant figures in ( 6.023 times 10^{23} ) is ( mathbf{A} cdot mathbf{4} ) B. 3 ( c cdot 2 ) D . 23 | 11 |

708 | A block of wood weights ( 12 mathrm{kg} ) and has a relative density ( 0.6 . ) It is to be of its volume immersed. What weight of a metal is needed if the metal is on the top of wood? [Relative density of metal = 14]. ( A cdot 2 mathrm{kg} ) B. ( 4 mathrm{kg} ) ( c cdot 6 mathrm{kg} ) ( D cdot 8 mathrm{kg} ) | 11 |

709 | The error in the measurement of radius of a sphere is ( 2 % . ) What will be the error in the calculation of its surface area? (surface area ( left.A=4 pi r^{2}right) frac{Delta A}{A}=frac{2 Delta r}{r} ) | 11 |

710 | Define density. What is the Sl units of density? | 11 |

711 | 1 m is equal to ( mathbf{A} cdot 10^{-6} ) micron B. ( 10^{6} ) micron C ( cdot 10^{-3} ) micron D. ( 10^{3} ) micron | 11 |

712 | Which one of the following is not the vector quantity? A . Torque B. Displacement c. velocity D. None of the above | 11 |

713 | millimeter ( _{–} ) – picometer. A . ( 10^{9} ) B. ( 10^{-9} ) ( c cdot 10^{8} ) D. ( 10^{10} ) | 11 |

714 | Which of the following is not a unit of time? This question has multiple correct options A. Parsec B. Light year c. Micron D. second | 11 |

715 | The distance travelled by light in one year is called A . Light Year B. Light Distance c. Both (a) and (b) D. None of these | 11 |

716 | Which of the following units is not a base unit? A. metre B. candela c. ampere D. pascal | 11 |

717 | OSOVO 14. Which of the following ratios express pressure? (a) Force/Area (b) Energy/Volume (c) Energy/Area (d) Force/Volume | 11 |

718 | What is the value of ( sqrt{79.62} ? ) A . 8.923 B. 8.9230 c. 8.92300 D. 8.9326 | 11 |

719 | If the energy, ( E=G^{p} h^{q} c^{r}, ) where ( G ) is the universal gravitational constant, h is the Planck’s constant and c is the velocity of light, then the values of ( p, q ) and ( r ) are, respectively A ( cdot-1 / 2,1 / 2 ) and ( 5 / 2 ) B. ( 1 / 2,-1 / 2 ) and ( -5 / 2 ) c. ( -1 / 2,1 / 2 ) and ( 3 / 2 ) D. ( 1 / 2,-1 / 2 ) and ( -3 / 2 ) | 11 |

720 | If the value of ( 103.5 mathrm{kg} ) is rounded off to three significant figures, then the value is A ( cdot 103 ) B. 103.0 ( c cdot 104 ) D. 10.3 | 11 |

721 | Identify which of the following quantities is a scalar quantity? A. displacement B. mass c. resultant D. equilibrant ( E cdot 101 mathrm{m} / mathrm{s} ) at ( 30^{circ} ) north of east | 11 |

722 | at b-x² 43. Write the dimensions of a x b in the relation E= where E is the energy, x is the displacement, and t is the time. a. MLT b. M-‘LT’ c. MLT-2 d. MLT-2 | 11 |

723 | Dimension of specific heat is: A ( cdot M L T^{-1} K^{-1} ) B. ( M L^{2} T^{-2} K^{-1} ) c. ( M^{0} L^{2} T^{-2} K^{-1} ) D. ( M^{-1} L^{2} T^{-2} K^{-1} ) | 11 |

724 | The dimensions of ( frac{1}{mu_{0} in_{0}} ) is (where symbols have their usual menaing) A ( cdotleft[L^{2} T^{-2}right] ) в. ( [A] ) C ( cdotleft[M L^{2} T^{-2}right] ) D. ( left[M L^{-2} T^{-2}right. ) | 11 |

725 | Light years is the unit of: A. time B. length c. mass D. none of these | 11 |

726 | A uniform wire of length ( l=5 pm 0.05 mathrm{cm} ) and radius ( r=0.5 pm 0.005 mathrm{cm} ) has mass ( boldsymbol{m}=mathbf{0 . 4}+mathbf{0 . 0 0 4 g} . ) The maximum percentage error in its density is ( A ) B. 2 ( c cdot 4 ) D. 5.8 | 11 |

727 | The Sl unit of amplitude of oscillation is A . cm в. ( c cdot k m ) D. none of these | 11 |

728 | Assertion Parallax method is used for measuring distances of nearby stars only. Reason With increase of distance of star, parallactic angle becomes too small to be measured accurately. 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 |

729 | With usual notation, the following equation, said to give the distance covered in the ( n^{t h} ) second i.e., ( S_{n}=u+ ) ( a frac{(2 n-1)}{2} ) is : A. numerically correct B. dimensionally correct c. both dimensionally and numerically correct D. neither numerically nor dimensionally correct | 11 |

730 | The velocity ( v ) of a particle at timet is given by ( v=a t+frac{b}{t+c} ) where ( a, b ) and ( c ) are constants. The dimensions of ( a, b ) and ( c ) are respectively: ( mathbf{A} cdot L T^{-2}, L ) and ( T ) B. ( L^{2}, T ) and ( L T^{2} ) c. ( L T^{2}, L T ) and ( L ) D. ( L, L T ) and ( T^{2} ) | 11 |

731 | The measures of length and breadth of a rectangle are ( (30 pm 3 %) ) and ( (10 pm 0.5 %) ) metre. Calculate the percentage error in the perimeter. A . 2.4% в. 3.5% c. ( 1.9 % ) D. 4% | 11 |

732 | One horse power is equal to A . ( 1000 mathrm{W} ) B. ( 500 W ) c. ( 764 W ) D. ( 746 W ) | 11 |

733 | The relative density of substance is numerically equal to its density in the system of units. | 11 |

734 | Which pair of following quantities has dimensions different from each other. A. Impulse and linear momentummmmmmmmm c. Moment of inertia and moment to force D. Young’s modulus and pressure | 11 |

735 | Sl unit of ( G ) is ( N m^{2} k g^{-2} . ) Which of the following can also be used as the Sl unit of G? A ( cdot m^{3} k g^{-1} s^{-2} ) B . ( m^{2} k g^{-2} s^{-1} ) c. ( m k g^{-3} s^{-1} ) D. ( m^{2} k g^{-3} s^{-2} ) | 11 |

736 | In the relation ( boldsymbol{F}=boldsymbol{a} sin boldsymbol{k}_{1} boldsymbol{x}+ ) ( boldsymbol{b} sin boldsymbol{k}_{2} boldsymbol{t}, ) the units ( (mathrm{Sl}) ) of ( frac{boldsymbol{k}_{1}}{boldsymbol{k}_{2}} ) is ( (F, x & t ) have usual meanings) ( mathbf{A} cdot s / m ) B. sm ( c cdot s t ) D. s/t | 11 |

737 | 12. A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading: 58.5 degree Vernier scale reading: 09 divisions Given that 1 division on main scale corresponds to 0.5 degree. Total divisions on the vernier scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the above data: (a) 58.59 degree (b) 58.77 degree (c) 58.65 degree (d) 59 degree (AIEEE 2012) | 11 |

738 | 11. In an experiment, the following observation’s were recorded : L=2.820 m, M=3.00 kg, 1=0.087 cm, Diameter D = 0.041 cm Taking g = 9.81 m/s2 using the formula, Y= v_4MgL * , the maximum permissible error in Y is (a) 7.96% (c) 6.50% (b) 4.56% (d) 8.42% | 11 |

739 | square centimetres = 1 square decimetre ( left(d m^{2}right) ) A . 100 B . 10 c. 1000 D. ( 0 . ) | 11 |

740 | ( N m^{-1} ) is the Sl unit of: A. viscosity B. spring constant c. surface tension D. both B and C | 11 |

741 | A wire has a mass ( (0.3 pm 0.003) g ) radius ( (0.5 pm 0.005) mathrm{mm} ) and length (6 土 ( 0.06) mathrm{cm} . ) The maximum percentage error in the measurement of its density is – ( A ) B. 2 ( c cdot 3 ) D. 4 | 11 |

742 | The gravitational unit of force in the metric system is A . gwt B. c. ( mathrm{kg} ) wt D. None of these | 11 |

743 | 1. The period of oscillation of a simple pendulum is given by T = 21, where l is about 100 cm and is known to Vg have 1 mm accuracy. The period is about 2 s. The time of 100 oscillations is measured by a stop watch of least count 0.1 s. The percentage error in g is (a) 0.1% (b) 1% (c) 0.2% (d) 0.8% | 11 |

744 | If the speed of light (c), acceleration due to gravity (g) and pressure (p) are taken as fundamental units, the dimensions of gravitational constant (G) are: A ( cdot c^{0} g p^{-3} ) B ( cdot c^{2} g^{3} p^{-2} ) C. ( c^{0} g^{2} p^{-1} ) D cdot ( c^{2} g^{2} p^{-2} ) | 11 |

745 | The dimensional formula for plank’s constant and angular momentum are ( mathbf{A} cdotleft[M L^{2} T^{-2}right] ) and ( left[M L T^{-1}right] ) B ( cdotleft[M L^{2} T^{-1}right] ) and ( left[M L^{2} T^{-1}right] ) ( mathbf{c} cdotleft[M L^{3} T^{1}right] ) and ( left[M L^{2} T^{-2}right] ) D・ ( left[M L^{2} T^{-1}right] ) and ( left[M L^{2} T^{-2}right] ) | 11 |

746 | A student uses a simple pendulum of exactly 1 m length to determine ( g ), the acceleration due to gravity. He uses a stopwatch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statements is(are) true? This question has multiple correct options A. Error ( Delta T ) in measuring ( T ), the time period, is 0.05 seconds. B. Error ( Delta T ) in measuring ( T ), the time period, is 1 second. C. Percentage error in the determination of ( g ) is ( 5 % ) D. Percentage error in the determination of ( g ) is ( 2.5 % ) | 11 |

747 | The dimensional formula for Magnetic induction is : ( mathbf{A} cdot M T^{-1} A^{-1} ) B. ( M T^{-2} A^{-1} ) ( mathrm{c} cdot M L A^{-1} ) D. ( M T^{-2} A ) | 11 |

748 | 11. The number of significant figures can reduce in a. Addition b. Subtraction c. Multiplication d. Division | 11 |

749 | Find density when a mass of ( 9.23 mathrm{kg} ) occupies a volume of ( 1.1 m^{3} ) with due regard to significant figures. ( mathbf{A} cdot 8.4 k g / m^{3} ) B. ( 8.39 k g / m^{3} ) ( mathbf{c} cdot 8.3 k g / m^{3} ) D. None of the above | 11 |

750 | Light year is a measurement of A. Speed of aeroplanes B. Speed of light c. Stellar distances D. speed of rockets | 11 |

751 | The mass of the electron is given ( 9.1 times ) ( 10^{-31} k g . ) Find the order of magnitude of the number of electrons of ( 1 k g ) ( mathbf{A} cdot 10^{31} ) B. ( 10^{-30} ) ( c cdot 10^{3} ) D. ( 10^{-31} ) | 11 |

752 | The length, breadth and thickness of a block are measured with the help of a meter scale. given ( ell=(5.12+0.01) mathrm{cm}, mathrm{b} ) ( =(10.15+0.01) mathrm{cm}, mathrm{t}=(5.28+0.01) mathrm{cm} . ) The percentage error in volume is: A . 0.64% B. 0.28% c. 0.37% D. 0.48% | 11 |

753 | In classical physics the force ( F ) acting on a body is assumed to be the product of mass ( mathrm{m} ) and acceleration a.lf ( mathrm{m}=2.31 ) ( mathrm{kg} ) and acceleration is ( 3.123 mathrm{m} / mathrm{s}^{2} ), then taking into account significant figures the force ( F ) should be reported as A. ( 7.21413 mathrm{N} ) B. 7.2141 c. 7.214 N D. 7.21 N | 11 |

754 | The Sl unit of gravitational potential is : A. Joule/kg B. Joule^ /kg c. kg/Joule D. Joule/kg ( ^{2} ) | 11 |

755 | Which one of the following has the same dimension as that of time, if ( boldsymbol{R} ) is resistance, ( L ) inductance and ( C ) is capacitance? A ( . R C ) B . ( sqrt{L C} ) c. ( frac{L}{R} ) D. All of the above | 11 |

756 | Which of the quantity consists of unit as m/sec? A. Speedd B. Distance c. weight D. Time period | 11 |

757 | If L and R denote inductance and resistance, respectively, then the dimensions of L/R are A ( cdot M^{1} L^{0} T^{0} Q^{-1} ) В. ( M^{0} L^{0} T Q^{0} ) c. ( M^{0} L^{1} T^{-1} Q^{0} ) D. ( M^{-1} L T^{0} Q^{-1} ) | 11 |

758 | In the density measurement of a cube, the mass an edge length are measured as ( (mathbf{1 0 . 0 0} pm mathbf{0 . 1 0}) k g ) and ( (0.10 pm 0.01) m, ) respectively. The error in the measurement of density: ( mathbf{A} cdot 0.10 k g / m^{3} ) в. ( 0.31 k g / m^{3} ) ( mathbf{c} cdot 0.07 k g / m^{3} ) D. ( 0.01 k g / m^{3} ) E. No answer | 11 |

759 | When equal volumes of two liquids are mixed,the specific gravity of mixture is ( frac{7}{2} . ) When equal masses of the same two liquids are mixed, the specific gravity is ( frac{12}{7} . ) The specific gravities of two liquids are: A. 1 and 6 B. 2 and 6 ( c cdot 2 ) and 4 D. 3 and 6 | 11 |

760 | Wut 15 u pullage II move 16. The radius of a sphere is measured to be (2.1 +0.5) cm. Calculate its surface area with error limits. | 11 |

761 | If the unit of tension is divided by the unit of surface tension the derived unit will be same as that of A . mass B. length c. area D. work | 11 |

762 | What 9. Erg-m-‘ can be the unit of measure for (a) Force (b) Momentum (c) Power (d) Acceleration . 1 anota | 11 |

763 | Sl unit of G in Newton’s law of Gravitation is : A ( cdot N^{2} m^{2} / k g ) в. ( N m^{2} / k g ) c. ( N m / k g ) D. ( N m^{2} / k g^{2} ) | 11 |

764 | The diameter of a wire as measured by screw gauge was found to be 2.620,2.625,2.628 and ( 2.626 mathrm{cm} ) Calculate absolute error in each measurement. A ( . Delta a_{5}=2.626-2.626=+0.000 mathrm{cm} ) в. ( Delta a_{4}=2.626-2.626=0.000 mathrm{cm} ) C. ( Delta a_{3}=2.626-2.630=-0.004 mathrm{cm} ) D. All of these | 11 |

765 | Burette and Pipette are used to measure mass. A . True B. False | 11 |

766 | The refractive index ( (mu) ) of glass is found to have the values 1.49,1.50,1.52,1.54 and 1.48 Calculate the mean value of refractive index. | 11 |

767 | State whether given statement is True or False. A quantity which can be represented completely by magnitude only, is called a vector quantity. | 11 |

768 | The apparent weight of a body, weighing M kg, during free fall is: A. less than M kg wt B. more than M kg wt c. equal to M kg wt D. zero | 11 |

769 | The radius of the sphere is ( 1.41 mathrm{cm} . ) The volume of sphere to an appropriate number of significant figures will be: A ( cdot 11.7 c m^{3} ) B. ( 11.74 mathrm{cm}^{3} ) ( mathbf{c} cdot 12 c m^{3} ) D. ( 11.736 mathrm{cm}^{3} ) | 11 |

770 | nanometer is ( _{-1-} ) centimeter A ( cdot 10^{-8} ) B. ( 10^{-7} ) ( mathrm{c} cdot 10^{-9} ) D. ( 10^{-6} ) | 11 |

771 | Illustration 1.35 To find the value of g using simple pendulum, T = 2.00 s and 1=1.00 m were measured. Estimate maximum permissible error in g. Also find the value of a | 11 |

772 | In the given figure, find the magnitude and nature of zero error | 11 |

773 | Three measurement are made as ( 18.425 mathrm{cm} 7.21 mathrm{cm} ) and ( 5.0 mathrm{cm} . ) The addition should be written as then: A. ( 30.635 mathrm{cm} ) B . ( 30.64 c m ) c. ( 30.63 c m ) D. ( 30.6 mathrm{cm} ) | 11 |

774 | 67. A student writes four different expressions for the displacement y in a periodic motion as a function of time t, a as amplitude, T as time period. Which of the following can be correct? 2nt a. y = aT sin T b. y = a sin Vt | 11 |

775 | How watt is related to the fundamental units? A ( cdot mathrm{kg} mathrm{m}^{2} s^{-3} ) B. ( mathrm{kg} mathrm{m}^{2} s^{-2} ) ( mathrm{c} cdot mathrm{Nm} s^{-1} ) D. Nm | 11 |

776 | In a new set of units, unit of mass is 10 kg, unit of length is ( 1 mathrm{km} ) and unit of time is 1 minute. The value of 1 joule in this new hypothetical system is A ( cdot 3.6 times 10^{-4} ) new units B. ( 6 times 10^{7} ) new units c. ( 10^{11} ) new units D. ( 1.67 times 104 ) new units | 11 |

777 | 49. If E, M, J, and G, respectively, denote energy, mass, angular momentum, and gravitational constant, then EJMG has the dimensions of a. Time b. Angle c. Mass d. Length 50 If I R andy respectively represent inductance | 11 |

778 | An atmosphere A. is a unit of pressure B. is a unit of force C . gives us an idea of composition of air D. is the height above which there is no air | 11 |

779 | If ( 1 mathrm{g} mathrm{cm}^{-3}=10^{3} mathrm{kg} mathrm{m}^{-3} ) then ( 10^{6} k g m^{-3}= ) A ( cdot 10^{-3} g c m^{-3} ) В ( cdot 10^{6} g c m^{-3} ) ( mathbf{c} cdot 10^{3} g c m^{-3} ) D. ( 10^{-6} g c m^{-3} ) | 11 |

780 | A force is given by ( boldsymbol{F}=boldsymbol{a} boldsymbol{t}+boldsymbol{b} boldsymbol{t}^{2}, ) where ( boldsymbol{t} ) is time, the dimensions of ( a ) and ( b ) are respectively: ( mathbf{A} cdotleft[M L T^{-4}right] ) and ( left[M L T^{-1}right] ) B – ( left[M L T^{-1}right] ) and ( left[M L T^{0}right] ) ( mathbf{c} cdotleft[M L T^{-3}right] ) and ( left[M L T^{-4}right] ) D cdot ( left[M L T^{-3}right] ) and ( left[M L T^{0}right] ) | 11 |

781 | Sl unit of electric polarisation is A ( cdot C m^{-2} ) B. coulomb c. ampere D. volt | 11 |

782 | If the units of length and force are increased four times, then unit of energy will A. becomes 8 times B. becomes 16 times c. decrease 16 times D. increase 4 times | 11 |

783 | 21. A capacitor of capacitance C = 2.0+ 0.1 uF is charged to a voltage V = 20 + 0.2 V. What will be the charge on the capacitor? Use Q = CV. | 11 |

784 | The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate. If the maximum errors in the measurement of force and length are respectively ( 4 % ) and ( 2 % ), then the maximum error in the measurement of pressure is? A . ( 1 % ) B. 2% ( c .6 % ) D. ( 8 % ) | 11 |

785 | The CGS unit of pressure is A . dyne ( c m^{-2} ) B. ( N m^{-2} ) c. ( J m^{-2} ) D. dyne ( c m^{-3} ) | 11 |

786 | Archaeologists often come to different conclusions when studying the earliest fossils due to A. The fact that a few countries limit access to the artifacts B. The fact that the universal process for dating the remains is problematic C. The fact that many fossils are decaying D. The limited amount of archaeological remains E. Fear of upsetting religious communities | 11 |

787 | 53. The percentage errors in the measurement of mass and speed are 2% and 3%, respectively. How much will be the maximum error in the estimation of KE obtained by measuring mass and speed? a. 5% b. 1% c. 8% d. 11% | 11 |

788 | 9. The quantities A and B are related by the relation, m = A/B, where m is the linear density and A is the force. The dimensions of B are of (a) Pressure (b) Work (c) Latent heat (d) None of the above | 11 |

789 | Using Dimensional analysis convert newton into dyne. | 11 |

790 | A thermometer reads ( 0^{circ} mathrm{C} ) as ( 10^{circ} mathrm{C} ) and ( 100^{circ} mathrm{C} ) as ( 90^{circ} mathrm{C} ) then Find the correct temperature if the thermometer reads ( 20^{circ} mathrm{C} ) A ( cdot 20^{circ} mathrm{C} ) B . ( 12.5^{circ} mathrm{C} ) ( mathrm{c} cdot 25^{circ} mathrm{C} ) D. ( 30^{circ} mathrm{C} ) | 11 |

791 | The respective number of significant figures for the numbers 6.320,6.032 0.0006032 are then A .3,4,8 B. 4,4,8 ( c cdot 4,4,4 ) D. 4,3,4 | 11 |

792 | 5. In the above problem, the dimensional formula for RT is same as that of a. Energy b. Force c. Specific heat d. Latent heat | 11 |

793 | What is the Sl unit of electric charge? A . coulombs B. amperes c. volts D. watts | 11 |

794 | 4. The number of significant figures in 0.06900 is (a) 5 (6) 4 (c) 2 (d) 3 | 11 |

795 | With due regard to significant figures, the value of ( 46.7-10.04 ) is : A. 36.7 B. 36.00 c. 36.66 D. 30.6 | 11 |

796 | In an experiment, the values of two resistances were measured as ( boldsymbol{R}_{1}= ) ( (5.00 pm .2) Omega ) and ( R_{2}=(10.00 pm .1) Omega ) The percentage error in the combined resistance in parallel is : A ( .(4.46 %) ) B. ( (7.00 %) ) ( c .(5.55 %) ) D. ( (3.35 %) ) | 11 |

797 | What is the largest distance (in a straight line) that can be measured with a meter scale of length ( 1 mathrm{m} ) and smallest division of ( 1 mathrm{mm} ) ? ( mathbf{A} cdot 1 mathrm{mm} ) в. ( 1 mathrm{m} ) c. ( 100 mathrm{m} ) D. No upper limit exists for measurement of length with meter scale. | 11 |

798 | If the unit of length is doubled and that of mass and time is halved, the unit of energy will be : A. doubled B. 4 times ( c .8 ) times D. same | 11 |

799 | Which of the following does not has fundamental unit? A. Mass B. Time c. Force D. Electric current | 11 |

800 | The total height of 10 identical coins each of thickness ( 0.5 mathrm{cm} ) placed one over the other will be ( 50 mathrm{mm} ) A. True B. False | 11 |

801 | If universal gravitational constant ( (G) ) speed of light ( (c), ) and time (t) are base units then the dimensional formula of mass can be represented as? A ( cdotleft[G^{1} c^{3} t^{1}right] ) ( mathbf{B} cdotleft[G^{-1} c^{3} t^{1}right] ) C. ( left[G^{-1} c^{-2} t^{-1}right] ) ( mathbf{D} cdotleft[G^{1} c^{-3} t^{-1}right] ) | 11 |

802 | Pressure depends on distance as, ( mathbf{p}= ) ( frac{boldsymbol{alpha}}{boldsymbol{beta}} exp left(-frac{boldsymbol{alpha} mathbf{z}}{mathbf{k} boldsymbol{theta}}right), ) where ( boldsymbol{alpha}, boldsymbol{beta} ) are constants ( mathbf{z} ) is distance, ( mathbf{k} ) is Boltzman’s constant and ( theta ) is temperature. The dimension of ( beta ) are ( mathbf{A} cdot mathbf{M}^{o} mathrm{L}^{o} mathrm{T}^{o} ) B. ( mathrm{M}^{-1} mathrm{L}^{-1} mathrm{T}^{-1} ) c. ( mathrm{M}^{circ} mathrm{L}^{2} mathrm{T}^{circ} ) D. ( mathrm{M}^{-1} mathrm{L}^{1} mathrm{T}^{2} ) | 11 |

803 | The standard quantity, used for comparison, is called fundamental quantity. A. True B. False | 11 |

804 | Which is the smallest unit of time? A. Second B. Minute c. Hour D. Year | 11 |

805 | In an experiment, the refractive index of glass was observed to be 1.45,1.56,1.54,1.44,1.54 and 1.53 Calculate relative error. | 11 |

806 | 2. If u, and uy are the units selected in two systems of measurement and n, and n2 their numerical values, then (a) nju, = n2u2 (b) nju, + n2u2 = 0 (c) nin2 = uju2 (d) (n +u) = (n2 + uz) | 11 |

807 | There should be a full stop at the end of a symbol for units. A. True B. False | 11 |

808 | f ( boldsymbol{n}(boldsymbol{A})=mathbf{4}, boldsymbol{n}(boldsymbol{B})=boldsymbol{3}, boldsymbol{n}(boldsymbol{A} times boldsymbol{B} times ) ( C)=24, ) then ( n(C)=? ) ( A cdot 2 ) B. ( c cdot 12 ) D. None of these | 11 |

809 | State whether the following statement is True or False. The prefix used for ( 10^{3} ) is kilo. A. True B. False | 11 |

810 | The density of ( O_{2} ) at ( mathrm{NTP} ) is ( 1.429 mathrm{g} / mathrm{L} ) the standard molar volume: ( mathbf{A} cdot 22.4 L ) B. ( 11.2 L ) c. ( 33.6 L ) D. ( 5.6 L ) | 11 |

811 | The mass of a box measured by a grocer’s balance is 2.3 kg. Two gold pieces of masses 20.15 g and 20.17 g are added to the box. The total mass of the box is: A. 2.3 kg B. 2.34 kg c. ( 2.340 mathrm{kg} ) D. 2.3403 kg | 11 |

812 | Illustration 1.39 The following observations were taken for determining the surface tension of water by capillary tube method: diameter of capillary, D = 1.25 x 10 m and rise of water in capillary, h = 1.45 x 10-2 m. Taking g = 9.80 ms? and using the relation T = (rgh/2) x 10′ Nm’, what is the possible error in measurement of surface tension T? a. 2.4% b. 15% c. 1.6% d. 0.15% | 11 |

813 | 47. The relative density of a material of a body is found by weighing it first in air and then in water. If the weight of the body in air is W = 8.00+ 0.05 N and the weight in water is W = 6.00 0.05 N, then the relative density Pr = W/(W -W) with the maximum permissible error is a. 4.00+ 0.62% b. 4.00+ 0.82% c. 4.00 +3.2% 1 d. 4.00 +5.62% | 11 |

814 | One micron is equal to ( mathbf{A} cdot 10^{6} m ) В ( cdot 10^{3} m ) ( mathbf{c} cdot 10^{-6} m ) D. ( 10^{-3} m ) | 11 |

815 | The dimensions of ( epsilon_{0} ) (permittivity in free space) is ( mathbf{A} cdot M L^{2} T^{4} A^{2} ) B. ( M L^{-3} T^{2} A^{2} ) ( mathbf{c} cdot M^{-1} L^{3} T^{4} A^{2} ) D. ( M L^{3} T^{2} A^{2} ) E ( cdot M^{-1} L^{-3} T^{4} A^{2} ) | 11 |

816 | The accuracy in the measurement of speed of light measured as ( 3.00 times ) ( 10^{8} m / s ) is : A. ( 30 % ) B. ( frac{1}{3} % ) c. ( 3 % ) D. ( frac{1}{30} % ) | 11 |

817 | The distance of a galaxy is ( 56 times 10^{25} m ) Assume the speed of light to be ( 3 x ) ( 10^{8} m s^{-1} . ) Express order of magnitude of time taken by light travelled to the galaxy. | 11 |

818 | The symbol for units should be written with a small letter A . True B. False | 11 |

819 | The time ( t, ) of a complete oscillation of a simple pendulum of length ( l ) is given by ( t=2 pi sqrt{frac{l}{g}} ) where ( g ) is gravitational constant. Find the approximate percentage of errors in ( t ) when the percentage of error ( l ) is ( 1 % ) | 11 |

820 | A physical parameter a can be determined by measuring the parameters b, ( c, d ) and e using the relation ( a=b^{alpha} c^{beta} d^{gamma} e^{delta} . ) If the maximum errors in the measurement of ( b, c, d ) and e are ( b_{1} %, c_{1} %, d_{1} % ) and ( e_{1} %, ) then find the maximum error in the value of a determined by the experiment. | 11 |

821 | The resistance ( boldsymbol{R}=frac{boldsymbol{V}}{boldsymbol{I}} ) where ( boldsymbol{V}= ) ( (100 pm 5) V ) and ( I=(10 pm 0.2) A . ) The percentage error in ( mathrm{R} ) is? A ( .5 .2 % ) в. ( 4.8 % ) c. ( 7 % ) D. ( 3 % ) | 11 |

822 | Two solids ( A ) and ( B ) float in water. It is observed that ( A ) floats with half of its volume immersed and B floats with ( 2 / 3 ) of its volume immersed. The ratio of their densities is A .4: 3 B. 3:4 ( c cdot 2: 3 ) D. 3:2 | 11 |

823 | Units of plane angle is | 11 |

824 | 36. Of the following quantities, which one has the dimensions different from the remaining three? a. Energy density b. Force per unit area c. Product of charge per unit volume and voltage d. Angular momentum per unit mass | 11 |

825 | 4. The mean time period of second’s pendulum is 2.00 s and mean absolute error in the time period is 0.05 s. To express maximum estimate of error, the time period should be written as (a) (2.00 0.01) (b) (2.00 +0.025) s (c) (2.00 +0.05) (d) (2.00 + 0.10) s | 11 |

826 | 22. The resistance R= VII, where V= (100 + 5) V and I = (10 +0.2) A. Find the percentage error in R. | 11 |

827 | If error in measurement of radius of a sphere is ( 1 %, ) what will be the error in measurement volume? A . ( 1 % ) B. ( frac{1}{3} % ) ( c .3 % ) D. None of these | 11 |

828 | The distance between two places is 25 km. Write the magnitude of the measurement. ( A cdot k m ) B. distance ( c cdot 25 ) D. two | 11 |

829 | What is the need for measurement of a physics quantity? | 11 |

830 | What is the dimensional formula of dynamic viscosity? ( mathbf{A} cdotleft[m^{1} L^{-1} T^{-2}right] ) B. ( left[m^{1} L^{1} T^{-1}right] ) C. ( left[m^{1} L^{-1} T^{-1}right] ) ( mathbf{D} cdotleft[m^{1} L^{1} T^{1}right] ) | 11 |

831 | Illustration 1.9 Check the accuracy of relation v2 – u? = 2as, where y and u are final and initial velocities, a is the acceleration, and s is the distance. 2 2 | 11 |

832 | The length and breadth of a rectangular sheet are ( 16.2 mathrm{cm} ) and ( 10.1 mathrm{cm} ) respectively. The area of the sheet in appropriate significant figures and error is: ( mathbf{A} cdot 164 pm 3 c m^{2} ) В. ( 163.62 pm 2.6 mathrm{cm}^{2} ) c. ( 163.6 pm 2.6 mathrm{cm}^{2} ) D. ( 163.62 pm 3 c m^{2} ) | 11 |

833 | LOUIUIU O 12. If the unit of length and force be increased four times, then the unit of energy is (a) Increased 4 times (b) Increased 8 times (c) Increased 16 times (d) Decreased 16 times | 11 |

834 | ILLUSTRATION 33.2 Find the thickness of the object using the defected vernier calipers. 0 mm 10 20 A 30 40 501 0.1 mm Om 10 20 30 40 501 Auuuuuuuuuuuuuu 0.1 mm | 11 |

835 | A body moves with a velocity of ( 36 mathrm{km} ) ( boldsymbol{h}^{-1} . ) What is the value of the velocity in ( m s^{-1} ? ) | 11 |

836 | 8. In terms of potential difference V, electric current I, permittivity Eo, permeability Mo and speed of light c, the dimensionally correct equations(s) is (are) a. Mol2 = εV2 b. Mol = MOV c. 1 = EV d. Mocl = €, V (JEE Advanced, 2015) | 11 |

837 | 4. A force F is given by F = at + bt, where t is time. What are the dimensions of a and b? (a) MLT-3 and MLT4 (b) MLT-3 and MLT-4 (c) MLT-1 and MLTº (d) MLT 4 and MLT! | 11 |

838 | Exa is used as prefix in SI system. True = ( 1, ) false ( =0 ) | 11 |

839 | The mean length of an object is ( 5 mathrm{cm} ) Which of the following measurements is most accurate? A ( .4 .9 mathrm{cm} ) B . ( 4.805 mathrm{cm} ) ( c .5 .25 m ) D. ( 5.4 mathrm{cm} ) | 11 |

840 | I flowing per second per unit area 58. The mass of the liquid flowing per second per of cross section of the tube is proportional to where P is the pressure difference and v is the velocity, then the relation between x and y is a. x=y b. x=-y c. y² =x long do y=-x² 12. | 11 |

841 | The heat generated in a circuit is given by ( Q=I^{2} R t, ) where I is current, ( mathrm{R} ) is resistance and t is time. If the percentage errors in measuring I, R and ( t ) are ( 2 %, 1 % ) and1 ( %, ) respectively, then the maximum error in measuring heat will be A . ( 2 % ) B. ( 3 % ) c. ( 4 % ) D. ( 6 % ) | 11 |

842 | 15. The mean length of an object is 5 cm. Which of the following measurements is most accurate? (a) 4.9 cm (b) 4.805 cm (c) 5.25 cm (d) 5.4 cm | 11 |

843 | Mankind has existed for about ( 10^{6} ) years whereas the universe is about ( 10^{10} ) years old. If the age of universe is taken to be one day, for how many seconds has the mankind existed? A . ( 10 mathrm{sec} ) B. 8 sec c. 8.64 sec D. 64 sec | 11 |

844 | Total mechanical energy ( boldsymbol{E} ) of an object of mass ( m ), at a height ( h ) above the ground is given by the relation ( boldsymbol{E}=boldsymbol{m} boldsymbol{g} boldsymbol{h}+frac{boldsymbol{p}^{2}}{2 boldsymbol{m}} ) Find the dimension of ( mathrm{p} .(g= ) acceleration due to gravity) | 11 |

845 | ( 1 mathrm{kg} mathrm{fcm}^{-2} ) ( mathrm{Nm}^{-2} ) A ( cdot 10^{3} ) B . ( 10^{5} ) ( c cdot 10^{4} ) ( D cdot 10^{6} ) | 11 |

846 | The Sl unit for mass is kg. A. True B. False | 11 |

847 | Curie is the unit of A. decay constant B. radio-activity c. half-life D. average life | 11 |

848 | The error in the measurement of length of a simple pendulum is ( 0.1 % ) and error in the time period is ( 2 % ). The possible maximum error in the quantity having dimensional formula ( L T^{-2} ) is A . ( 1.1 % ) в. ( 2.2 % ) c. ( 4.1 % ) D. 6.1% | 11 |

849 | How is the following derived unit related to the fundamental units? 1) joule A . ( N m s^{-1} ) в. ( N m ) c. ( k g m^{2} s^{-1} ) D. ( k g m^{2} s^{-2} ) | 11 |

850 | The specific resistance ( rho ) of a circular wire of radius ( r, ) resistance ( R, ) and length is given by ( rho=pi r^{2} R / l . ) Given: ( r= ) ( mathbf{0 . 2 4} pm mathbf{0 . 0 2 c m}, boldsymbol{R}=mathbf{3 0} pm mathbf{1 Omega}, ) and ( boldsymbol{l}= ) ( 4.80 pm 0.01 c m . ) The percentage error in ( rho ) is nearly: A . ( 7 % ) в. ( 9 % ) c. ( 13 % ) D. 20% | 11 |

851 | 13. In a system of units if force (F), acceleration (A) and time (T) are taken as fundamental units, then the dimensional formula of energy is (a) FAPT (b) FAT? (c) FAT (d) FAT | 11 |

852 | 1. If R is resistance, L is inductance, C is capacitance, H is latent heat, and s is specific heat, then match the quantity given in Column I with the dimensions given in Column Column I Column II LC a. L27-2 LR b. Ľ21- 21 ci je M²LAT-SAA | 11 |

853 | A physical quantity x depends on quantities ( y ) and ( z ) as follows ( : x= ) ( boldsymbol{A} boldsymbol{y}+boldsymbol{B} boldsymbol{t a n}left(boldsymbol{C}_{z}right), ) where ( boldsymbol{A}, mathbf{B} ) and ( boldsymbol{C} ) are constants. Which of the followings do not have the same dimensions? A. ( x ) and ( B ) B. ( c ) and ( z^{-} ) c. y and B/A D. x and A | 11 |

854 | Write down the number of significant figures in the following value. ( mathbf{1 2 0 0} boldsymbol{N} ) A .4 B. 3 ( c cdot 2 ) D. | 11 |

855 | When 13546 is rounded off to four significant figures, it becomes: This question has multiple correct options A . 1355 B. 13550 C. ( 1355 times 10^{1} ) D. 135.5 | 11 |

856 | Pressure ( boldsymbol{P}_{boldsymbol{r}}=frac{boldsymbol{3} boldsymbol{F} boldsymbol{v}^{2}}{boldsymbol{pi}^{2} boldsymbol{t}^{2} boldsymbol{x}}left(text { where } boldsymbol{P}_{boldsymbol{r}}=right. ) Pressure ( F= ) force, ( v= ) velocity, ( t=operatorname{time}, x ) ( = ) distance State whether true or false: the above equation is dimentionally correct A. True B. False | 11 |

857 | 6. The percentage error in the above problem is (a) 7% (b) 5.95% (c) 8.95% (d) 9.85% | 11 |

858 | How many order of magnitude are there in one million? A. 5 B. 4 ( c cdot 6 ) D. None of above | 11 |

859 | 46. The length 1, breadth b, and thickness t of a block of wood were measured with the help of a measuring scale. The results with permissible errors (in cm) are 1 = 15.12 +0.01, b = 10.15 +0.01, and t = 5.28 +0.01. The percentage error in volume up to proper significant figures is a. 0.28% b. 0.35% c. 0.48% d. 0.64% 4- Tumolotitre donoitu of material afhad ‘found | 11 |

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

861 | 34. The position x of a particle at time t is given by x= (1-e-at), where V, is constant and a > 0. The dimensions of V, and a are a. M°LT-1 and T b. M°LT° and T c. M°LT-1 and LT-2 d. Mºlt-1 and T | 11 |

862 | For n moles of gas Vander waal’s equation is ( left(boldsymbol{P}-frac{boldsymbol{a}}{boldsymbol{V}^{2}}right)(boldsymbol{V}-boldsymbol{b})=boldsymbol{n} boldsymbol{R} boldsymbol{T} ) Find the dimensions of a and b, where ( mathrm{P} ) is gas pressure, ( V= ) volume of gas ( T= ) temperature of gas | 11 |

863 | The mass and sides of a cube given as ( (10 k g pm 0.1) ) and ( (0.1 m pm 0.01), ) the relative error in density is: A . 0.31 B. 0.5 c. 0.62 D. 0.29 | 11 |

864 | 2. 2 2. 42 C. 12 . 100 74. While measuring acceleration due to gravity by a simple pendulum, a student makes a positive error of 2% in the length of the pendulum and a positive error of 1% in the value of time period. His actual percentage error in the measurement of the value of g will be a. 3% b. 0% c. 4% d. 5% | 11 |

865 | The sides of a rectangle are ( 7.01 m ) and 12 ( m . ) Taking the significant figures into account, the area of the rectangle is B. ( 84.00 m^{2} ) c. ( 84.12 mathrm{m}^{2} ) D. ( 84 m^{2} ) | 11 |

866 | Planck’s constant has the dimensions A ( cdot M L^{3} T^{-1} ) B . ( M L^{2} T^{-1} ) ( mathbf{c} cdot M L^{6} T^{-1} ) D. ( M L^{8} T^{-1} ). | 11 |

867 | 6. A student uses a simple pendulum of exactly 1 m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 s for this and records 40 s for 20 oscillations. For this observation, which of the following statement(s) is(are) true? a. Error AT in measuring T, the time period, is 0.05 s b. Error AT in measuring T, the time period, is 1 s c. Percentage error in the determination of g is 5% d. Percentage error in the determination of g is 2.5% (IIT JEE, 2010) | 11 |

868 | Ammeter is used to measure A. current B. voltage c. charge D. resistance | 11 |

869 | For a circuit, ( L, C ) and ( R ) represent the inductance, capacitance and resistance. Then, the dimensional formula for ( C^{2} L R ) is ( mathbf{A} cdot[M L T] ) B . ( left[M^{0} L^{0} T I^{0}right] ) c. ( left[M^{2} L^{2} T^{0} I^{0}right. ) D cdot ( left[M^{0} L^{0} T^{3} I^{0}right] ) | 11 |

870 | The speed of transverse wave ( v ) in a stretched string depends on tension ( boldsymbol{T} ) in the string and linear mass density (mass per unit length) ( mu . ) Find the relation using method of dimensions. | 11 |

871 | If Planck’s constant ( (h), ) surface tension ( (s) ) and moment of inertia ( (I) ) are taken as fundamental quantities, then dimensions of linear momentum ( (p) ) will be given as: ( mathbf{A} cdot h s^{2} I^{1 / 2} ) B . ( h^{1 / 2} s^{1 / 2} I ) c. ( h^{0} s^{1 / 2} I^{1 / 2} ) D. None of these | 11 |

872 | 2. Given that: y= A sin r), where y and x are measured in the unit of length. Which of the following statements is true? a. The unit of 2 is same as that of x and A. b. The unit of 2 is same as that of x but may not be same as that of A. c. The unit of c is same as that of 2702. d. The unit of (ct – x) is same as that of 210 . | 11 |

873 | In a meter bridge experiment, we try to obtain the null point at the middle. This reduces: A. systematic error as well as random errors B. systematic error but not the random error c. random error but not the systematic error D. neither systematic error nor the random error | 11 |

874 | Count total number of Significant Figures in 3.0800 A. 3 B. 5 ( c ) ( D ) | 11 |

875 | 9. The decimal equivalent of 1/20 up to three significant figures is (a) 0.0500 (b) 0.05000 (c) 0.0050 (d) 5.0 x 10-2 | 11 |

876 | What is the mass of an object whose weight is 980 N? ( A cdot 980 mathrm{kg} ) B. 98 kg ( c cdot 100 mathrm{kg} ) D. zero | 11 |

877 | Which of the following has highest relative density? A. water B. oil c. mercury D. glass | 11 |

878 | One second is defined to be equal to: A. 1650763.73 periods of krypton clock B. 652189.63 period of krypton clock C. 1650755.73 periods of cesium clock D. 9,19,26,31,770 periods of cesium clock | 11 |

879 | Light year is the unit of the A. distance B. time c. speed D. intensity of light | 11 |

880 | 69. A liquid drop of density p, radius r, and surface tension o oscillates with time period T. Which of the following expressions for T4 is correct? pr3 d. None of these | 11 |

881 | 19. Two resistances R = 100 + 32 and R, = 200 + 4 12 are connected in series. Find the equivalent resistance of the series combination. TL: 1 1 | 11 |

882 | 1 femtometre is equivalent to ( mathbf{A} cdot 10^{15} m ) B. ( 10^{-12} m ) ( mathbf{c} cdot 10^{-15} m ) D. ( 10^{-9} m ) | 11 |

883 | Choose the correct answer from the following This question has multiple correct options ( A cdot ) An area of one square centimetre is ( 10^{4} ) times greater than one square metre B. 1 hour 18 min is equal to 3618 seconds. C. Sl unit of volume is cubic metres. D. Metre is the standard unit to measure length | 11 |

884 | 30. The order of magnitude of 379 is a. 1 b. 2 c. 3 d. 4 | 11 |

885 | If ( y ) represents pressure and ( x ) represents velocity gradient, then the dimensions of ( frac{d^{2} y}{d x^{2}} ) are ( mathbf{A} cdotleft[M L^{-1} T^{-2}right] ) B. ( left[M^{2} L^{-2} T^{-2}right] ) ( mathbf{c} cdotleft[M L^{-1} T^{0}right] ) D cdot ( left[M^{2} L^{-2} T^{-4}right] ) | 11 |

886 | A body is just floating on the surface of liquid. The density of the body is same as that of the liquid. The body is slightly pushed down. Then it will A. come back slowly to its earlier position B. remain submerged where it is left. c. sink in liquid D. come out vigoursly | 11 |

887 | We should not use plurals when we write the unit in words. A. True B. False | 11 |

888 | 7. Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further. it is found that the screw gauge has a zero error of -0.03 mm. while measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is (a) 3.38 mm (b) 3.32 mm (c) 3.73 mm (d) 3.67 mm (AIEEE 2008) | 11 |

889 | The dimensional formula for magnetic flux is ( mathbf{A} cdotleft[M L^{2} T^{-2} A^{-1}right] ) B ( cdotleft[M L^{3} T^{-4} A^{-2}right] ) c. ( left[M^{0} L^{-2} T^{-2} A^{-2}right] ) D ( cdotleft[M L^{2} T^{-1} A^{2}right] ) | 11 |

890 | Measuring vessel to measure volume of irregular shaped solid is A. Measuring Jar B. measuring bowl c. Any of these can be used D. None | 11 |

891 | Of the following quatities, which one has dimensions different from the remaining three? A. Energy per unit volume B. Force per unit area c. Product of voltage and charge per unit volume D. Angular momentum | 11 |

892 | 3. Two quantities A and B have different dimensions. Which mathematical operation given below is physically meaningful? (a) A/B (b) A+B (c) A – B (d) None | 11 |

893 | nanometer is ( _{–} ) femtometer. A ( cdot 10^{5} ) B. ( 10^{text {6 }} ) ( c cdot 10^{7} ) D. ( 10^{4} ) | 11 |

894 | 1 по апппопор о соuр ас 20. The dimensional formula for impulse is 21 The dimensional formula for Planck’s constant (1 | 11 |

895 | Dimensions of impulse are ( mathbf{A} cdotleft[M L T^{-1}right] ) ( mathbf{B} cdotleft[M L T^{2}right] ) c. ( left[M T^{-2}right] ) D・ ( left[M L^{-1} T^{-3}right] ) | 11 |

896 | The ampere, metre and second are ( mathrm{S} ) base units. State two other SI base units. | 11 |

897 | A cube has sides of length ( 1.2 times ) ( 10^{-2} m . ) Calculate the volume. A ( .1 .7 times 10^{-6} m^{3} ) В. ( 1.73 times 10^{-6} m^{3} ) C. ( 1.70 times 10^{-6} m^{3} ) D. ( 1.732 times 10^{-6} mathrm{m}^{3} ) | 11 |

898 | U. 2I11.2JXU) 52 56. Which of the following product of e, h, u, G (where u is the permeability) be taken so that the dimensions of the product are same as that of the speed of light? a. he-Pu-16° b. h’eGºju c. hºe?G-‘u d. hGe-?uº 7 WILL C11 | 11 |

899 | 3. To determine the Young’s modulus of a wire, the formula is Y==x ; where L= length, A = area of cross-section of A AL the wire, AL = change in length of the wire when stretched with a force F. The conversion factor to change it from CGS to MKS system is (a) 1 (b) 10 (d) 0.01 (c) 0.1 11 | 11 |

900 | Which of the following time measuring devices is most precise? A. A wall clock B. An atomic clock c. A digital watch D. stop watch | 11 |

901 | 12. If there is a positive error of 50% in the measurement of velocity of a body, then the error in the measurement of kinetic energy is (a) 25% (b) 50% (c) 100% (d) 125% | 11 |

902 | A physical quantity ( A ) is related to four observable ( a, b, c ) and ( d ) as follows, ( A= ) ( frac{a^{2} b^{3}}{c sqrt{d}}, ) the percentage errors of measurement in ( a, b, c ) and ( d ) are ( 1 %, 3 % ) ( 2 % ) and ( 2 % ) respectively. What is the percentage error in the quantity ( boldsymbol{A} ) ? A . ( 12 % ) B . ( 7 % ) c. ( 5 % ) D. 14% | 11 |

903 | A metre scale weighs 50 grams and carries 20 grams at one end, the scale balances when it is suspended at a distance ( x ) from other endpoints. Then ( x ) is equal to? A . ( 35.7 mathrm{cm} ) в. 64.3 ст c. ( 14.3 mathrm{cm} ) D. ( 50 mathrm{cm} ) | 11 |

904 | Calculate the mass of a body in tonnes whose volume is ( 2 mathrm{m}^{3} ) and ( mathrm{R.D} ) is 5.2 | 11 |

905 | If the error in measurements of mass and velocity is ( 1 % ) each then error in measurement of kinetic energy is: | 11 |

906 | A physical quantity ( x ) is calculated from the relation ( boldsymbol{x}=boldsymbol{a}^{3} boldsymbol{b}^{2} / sqrt{boldsymbol{c} boldsymbol{d}} ). Calculate percentage error in ( x, ) if ( a, b, c ) and ( d ) are measured respectively with an error of ( 1 %, 3 %, 4 % ) and ( 2 % ) A. ( 12 % ) в. ( 22 % ) c. ( 2 % ) D. ( 0.2 % ) | 11 |

907 | If ( a, b, c ) are the percentage errors in the measurement of ( A, B ) and ( C, ) then the percentage error in ABC would be approximately A ( . a b c ) B . ( a+b+c ) c. ( a b+b c+a c ) D. ( frac{a}{b}+frac{b}{c}+frac{c}{a} ) | 11 |

908 | The period of oscillation of a simple pendulum is ( T=2 pi sqrt{frac{L}{g}} . ) Measured of ( L ) is ( 20.0 mathrm{cm} ) known to ( 1 mathrm{mm} ) accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of ( 1 s ) resolution. The accuracy in the determination of ( g ) ? A . ( 2.5 % ) в. ( 2.7 % ) c. ( 2 % ) D. 3% | 11 |

909 | Count total number of S.F. in 300.00 A. 5 B. 6 ( c cdot 8 ) D. 9 | 11 |

910 | Atto is used as prefix in SI system. If true enter 1 else enter 0 | 11 |

911 | The diameter of a wire as measured by screw gauge was found to be 2.620,2.625,2.628 and ( 2.626 mathrm{cm} ) Calculate percentage error. | 11 |

912 | micrometer is ( quad ) kilometer. A ( cdot 10^{-9} ) B. ( 10^{-8} ) ( mathbf{c} cdot 10^{-10} ) D. ( 10^{8} ) | 11 |

913 | 22. The dimensions of calorie are | 11 |

914 | 8. A student performs an experiment for determination of 1 40²2 -1,L=1 m, and he commits an error of AL. For g = I 2 The takes the time of n oscillations with the stop watch of least count AT. For which of the following data, the measurement of g will be most accurate? a. AL = 0.5, AT = 0.1, n = 20 b. AL = 0.5, AT = 0.1, n = 50 AL = 0.5, AT = 0.01, n = 20 d. AL = 0.5, AT = 0.05, n = 50 (IIT JEE, 2006) | 11 |

915 | The Sl unit of weight is ( mathbf{A} cdot ) кgf B. Gf ( c cdot N ) D. None of these | 11 |

916 | 1. The dimensions of a are a. ML T2 b. MC-T2 d. L6 c. 13 | 11 |

917 | A physical quantity P is related to four observables ( a, b, c ) and ( d ) as follows: ( mathrm{P} boldsymbol{a}^{3} boldsymbol{b}^{2} / sqrt{boldsymbol{c}} mathrm{d} ) The percentage errors of measurement in ( a, b, c ) and ( d ) are ( 1 %, 3 %, 4 % ) and ( 2 %, ) respectively. What is the percentage error in the quantity P ? If the value of P calculated using the above relation turns out to be ( 3.763, ) to what value should you round off the result? | 11 |

918 | 65. Assuming that the mass m of the largest stone that can be moved by a flowing river depends upon the velocity v of the water, its density p, and the acceleration due to gravity g. Then m is directly proportional to 3. i b. vt c. y do vo l an 1 | 11 |

919 | The value of ( sqrt{2} ) in correct significant digits is : A .1 .414 B. 1.4 ( c cdot 1.0 ) ( D ) | 11 |

920 | The weight of an object is zero at: A. a height equal to half of the radius of earth B. the center of the earth C . the equator D. both (1) and (2) | 11 |

921 | The reference standard used for the measurement of a physical quantity is called: A. standard quality B. Dimension c. constant D. Unit | 11 |

922 | Each side of a cube is measured to 7.203 ( mathrm{m} ). Find the volume of the cube up to appropriate significant figures. | 11 |

923 | Match the following: | 11 |

924 | In the equation ( y=A sin (omega-K x) ) obtain the dimensional formula of ( omega ) and K.Given ( x ) is distance and ( t ) is time. | 11 |

925 | If we weigh a given substance five times, and get 5 kg each time, then your measurement is very A. Accurate B. Precised c. Accurate and Precised D. cannot be judged | 11 |

926 | State whether weight is a scalar or vector quantity? | 11 |

927 | Density is a physical quantity. A. fundamental B. derived c. semi-derived D. semi-fundamental | 11 |

928 | The value of gravitation constant is ( boldsymbol{G}=mathbf{6 . 6 7} times mathbf{1 0}^{-mathbf{1 1}} boldsymbol{N}-boldsymbol{m}^{2} / boldsymbol{k g}^{2} ) in SI units. Convert it into CGS system of units. A. Thus, value of G in CGS system of units is 6.67 x ( 10^{-8} ) dyne ( c m^{2} / g^{2} ) B. Thus, value of G in CGS system of units is ( 6.67 times ) ( 10^{-9} ) dyne ( c m^{2} / g^{2} ) c. Thus, value of G in CGS system of units is 6.67 x ( 10^{-7} ) dyne ( c m^{2} / g^{2} ) D. Thus, value of G in CGS system of units is 6.67 x ( 10^{-10} ) dyne ( c m^{2} / g^{2} ) | 11 |

929 | Fill in the blanks: A quantity which can be completely represented by magnitude alone is called | 11 |

930 | Assertion The Sl unit of weight is Newton. Reason Weight is the force of gravity with which a body is attracted towards the earth. 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 |

931 | Solve with due regard to significant figures: ( frac{5.42 times 0.6753}{0.085} ) | 11 |

932 | Suppose, the torque acting on a body is ( operatorname{given} ) by ( boldsymbol{tau}=boldsymbol{K} boldsymbol{L}+boldsymbol{M} boldsymbol{I} / boldsymbol{w} . ) Where ( boldsymbol{L}= ) angular momentum, ( I= ) moment of inertia, ( boldsymbol{w}= ) angular speed. The dimensional formula for ( boldsymbol{K} boldsymbol{M} ) is same as that for: A ( cdot ) time ( ^{2} ) B . time ( ^{4} ) ( mathrm{c} cdot operatorname{time}^{-2} ) D. time ( ^{-4} ) | 11 |

933 | picometer is centimeter A ( cdot 10^{-8} ) B. ( 10^{-9} ) c. ( 10^{-10} ) D. ( 10^{10} ) | 11 |

934 | Students ( A, B ) and ( C ) measure the diameter of a copper ball using the same screw gauge. A takes 5 readings, ( mathrm{B} ) takes 9 readings and C takes 8 readings. The measured value will be most accurate for ( A cdot B ) B. A ( c cdot c ) D. all | 11 |

935 | Write down the number of significant figures in the following. 6428 A. four B. three c. ( t w o ) D. one | 11 |

936 | Find the dimensional formulae of the following quantities: 1. the universal constant of gravitational ( G ) 2. the surface tension ( S ) 3. the thermal conductivity ( k ) and 4. the coefficient of viscosity ( eta ) | 11 |

937 | The frequency of vibration (v) of a string may depend upon length (I) of the string, tension (T) in the string and mass per unit length (m) of the string. Use method of dimensions for establishing the formula for frequency | 11 |

938 | 15. Dimensional formula for latent heat is | 11 |

939 | The random error in the arithmatic mean of 10 observations is ( k . ) Then random error in arithmatic mean of 25 observations would be A. ( 0.1 k ) ( k ) в. ( 0.4 k ) ( c .2 .5 k ) D. ( 1.25 k ) | 11 |

940 | The prefix ‘milli’ denotes the factor ( 10^{-x} ) ( m ) find ( times ? ) | 11 |

941 | Each side of a cube is measured to be ( 5.402 mathrm{cm} . ) Find the total surface area and volume of the cube in appropriate significant figures. | 11 |

942 | Angular displacement is: ( A ). a scalar B. a vector c. neither ( (a) ) nor ( (b) ) D. either ( (a) ) or ( (b) ) | 11 |

943 | d. JW U. 170 . 0 0 54. An experiment measures quantities a, b, and c, and then X is calculated from X =- a11262 3. If the percentage errors in a, b, and c are 1%, +3%, and +2%, respectively, then the percentage error in X can be a. +12.5% b. +7% c. +1% d. +4% | 11 |

944 | Explain S.I units | 11 |

945 | 1 MeV is equal to ( mathbf{A} cdot 1.6 times 10^{13} )Joules B . ( 1.6 times 10^{13} ) cal. C ( .1 .6 times 10^{13} ) ergs D. None of these | 11 |

946 | If the mass of the body on the surface of the earth is ( 50 k g, ) its mass at the centre of the earth is: A. zero B. More than ( 50 mathrm{kg} ) c. Less than ( 50 mathrm{kg} ) D. Equal to ( 50 mathrm{kg} ) | 11 |

947 | An infinite long plate has surface charge density sigma As shown in the figure, a point charge ( q ) is moved from ( A ) to ( B ) Net work done by electric field is: | 11 |

948 | How many significant figures are there in ( 0.30100 ? ) | 11 |

949 | 7. If pressure P, velocity Vand time T are taken as fundamental physical quantities, the dimensional formula of force is (a) PV2T2 (b) p-lv2T-2 (c) PVT2 (d) plVT? | 11 |

950 | Which of the following is the smallest unit? A. millimetre B. angstrom c. fermi D. metre | 11 |

951 | Find symbols have standard meanings. (a) electric field ( mathrm{E} ) (B) magnetic field B and (c) magnetic permeability ( eta_{0} ) The relevant equation are | 11 |

952 | A light year is the unit of : A. time B. distance c. intensity of light D. frequency | 11 |

953 | The mass of a planet is 4 times while its radius is 8 times that of the earth. If the weight of an object is ( 640 mathrm{N} ) on earth, what will be its weight on the planet? A. ( 40 mathrm{N} ) в. 80 N ( c cdot 160 N ) D. 120 N | 11 |

954 | The angle subtended at the centre of a circle by an arc whose length is equal to the diameter of the circle is: A . radian B. 2 radian c. ( pi ) radian D. ( pi / 2 ) radian | 11 |

955 | Assertion Density of a substance is the ratio of mass of the substance to its volume Reason Relative density is the ratio of density of substance to the density of water at ( 4^{circ} mathrm{C} ) 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 |

956 | Which one exception, each of the following units can be used to express mass. What is the exception? A. Newton B. Gram c. kilogram D. ( N s^{2} / m ) | 11 |

957 | The symbol for a unit which is not named in the honour of some scientist is written in A. Lower initial letter B. Initial capital letter c. Lower letter D. All | 11 |

958 | Instrument used to measure the temperature is A. protractor B. stethoscope c. thermometer D. none of these | 11 |

959 | How much positive and negative charge is there in a cup of water? | 11 |

960 | The ratio of the values in SI units to values in CGS units of density is ( mathbf{A} cdot 10^{3}: 1 ) B ( cdot 10^{2}: 1 ) ( mathbf{c} cdot 10^{-2}: 1 ) D. ( 10^{-3}: 1 ) | 11 |

961 | The mass of a full bottle of cooking oil is ( 1.30 k g ) When exactly half of the oil has been used, the mass of the bottle plus the remaining oil is 0.90 kg. What is the mass of the empty bottle? | 11 |

962 | When the number 0.046508 is reduced to 4 significant figures, then it becomes A . 0.0465 B . ( 4650.8 times 10^{-5} ) c. ( 4.651 times 10^{-2} ) D. ( 4.650 times 10^{-2} ) | 11 |

963 | In resonance tube exp. we find ( l_{1}= ) ( 25.0 mathrm{cm} ) and ( l_{2}=75.0 mathrm{cm} . ) If there is no error in frequency, what will be maximum permissible error in speed of sound. (Take ( left.f_{0}=325 H zright) ) ( boldsymbol{V}=mathbf{2} boldsymbol{f}_{0}left(boldsymbol{l}_{2}-boldsymbol{l}_{1}right) ) A. ( v=(329 pm 1.3) mathrm{m} / mathrm{s} ) B. ( v=(326 pm 1.3) mathrm{m} / mathrm{s} ) c. ( v=(325 pm 1.4) mathrm{m} / mathrm{s} ) D. ( v=(325 pm 1.3) mathrm{m} / mathrm{s} ) | 11 |

964 | Match the following: ( A cdot A-r, B-s, C-p ) D-q, ( E-L ) 1, E-U ( D-q ) ( B cdot A-S, B-r, C-p, ) ( C cdot A-r, B-S, C-u, D-q, E-p ) D. A-q, B-s, C-p, D-r ( E-L ) | 11 |

965 | The Richardson equation is given by ( boldsymbol{I}=boldsymbol{A} boldsymbol{T}^{2} boldsymbol{e}^{frac{-B}{k T}} . ) The dimensional formula for ( A B^{2} ) is same as that for: A ( cdot I T^{-2} ) в. ( k ) Т ( c cdot I k^{2} ) D. ( frac{I k^{2}}{T} ) | 11 |

966 | In an experiment, the refractive index of glass was observed to be ( mathbf{1 . 4 5}, mathbf{1 . 5 6}, mathbf{1 . 5 4}, mathbf{1 . 4 4}, mathbf{1 . 5 4}, mathbf{1 . 4 4}, mathbf{1 . 5 4} ) and ( 1.53 . ) Calculate mean value of refractive index | 11 |

967 | Which one of the following statements İs incorrect? A. Direct and indirect methods are used for the measurement of physical quantities. B. Scientific notation and the prefixes are used to simplify numerical computation. C. A dimensionally correct equation need not be a correct equation. D. The Sl units is based on six base units. | 11 |

968 | Two resistances are expressed as ( boldsymbol{R}_{1}(mathbf{4} pm mathbf{0 . 5} %) boldsymbol{Omega} ) and ( boldsymbol{R}_{2}(mathbf{1 2} pm mathbf{0 . 5} %) boldsymbol{Omega} ) The net resistance when they are connected in series with percentage error is: (In series ( left.boldsymbol{R}=boldsymbol{R}_{1}+boldsymbol{R}_{2}right) ) A . ( (16 pm 0.5 %) Omega ) B. ( (16 pm 6.25 %) Omega ) c. ( (16 pm 22 %) Omega ) D. ( (16 pm 2.2 %) Omega ) | 11 |

969 | vom u unu 6. Given that T stands for time period and I stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation Tº = (l/g) is correct? a. It is correct both dimensionally as well as numeri- cally. b. It is neither dimensionally correct nor numerically. c. It is dimensionally correct but not numerically. d. It is numerically correct but not dimensionally. | 11 |

970 | Which of the following is a fundamental unit? A. Ampere B. Newton c. volt D. onm | 11 |

971 | Dyne – second is the unit of: A. Force B. Momentum c. Energy D. Power | 11 |

972 | The S.I. unit of velocity is ( mathbf{A} cdot k m h^{-1} ) B. ( m ) min ( ^{-1} ) c. ( k m ) min ( ^{-1} ) ( mathbf{D} cdot m s^{-1} ) | 11 |

973 | The Sl unit of electron mobility is : A ( . M^{2} S^{-1} V-1 ) В. ( =m^{2} s^{-1} V^{-1} ) ( mathbf{c} cdot m s^{-1} V ) D. ( m^{2} s^{-2} V ) | 11 |

974 | 5. A suitable unit for gravitational constant is (a) kg-m sec- (b) Nm’ sec (c) N m² kg 2 (d) kg m sec CT | 11 |

975 | If error in measurement of radium of a sphere is ( 1 %, ) what will be the error in measurement of volume? A . ( 1 % ) B. ( frac{1}{3} % ) ( c .3 % ) D. None of these | 11 |

976 | In the equation ( y=A sin left[k t-frac{x}{lambda}right], ) the dimensional formula for ( k ) is A ( cdot M^{0} L^{0} T^{-1} ) B . ( M^{0} L^{0} T^{0} ) c. ( M^{0} L T^{0} ) D. ( M L^{0} T^{0} ) | 11 |

977 | The addition of two numbers ( 6.75 times 10^{3} ) ( mathrm{cm} ) and ( 4.52 times 10^{2} mathrm{cm} ) with regard to significant figures is: A ( cdot 7.20 times 10^{3} mathrm{cm} ) В. ( 7.20 times 10^{3} mathrm{mm} ) c. ( 7.20 times 10^{4} mathrm{cm} ) D. None of these | 11 |

978 | In a burette, the zero mark on the graduation scale is near its mouth. A. True B. False | 11 |

979 | 13. The dimensional formula for resistivity of conductor is a. [M L?T-2A-2] b. [M LT-3A-2) c. [ML-2T-2A²) d. [M LT-2A-31 | 11 |

980 | A physical quanity ( P ) is releated to four observation ( a, b, c ) and ( d ) as follows ( P= ) ( a^{3} b^{3} / sqrt{c d T h e} ) percentage errors of measurement in ( a, b, c ) and ( 1 %, 3 %, 4 % ) and ( 2 % ) repectively. What is the percentage erros in quanity ( P ) ? If the value of ( boldsymbol{P} ). Calculated using the above relations turns out to +ve ( 3.763, ) to what value you should round off the result? | 11 |

981 | Unit of plane angle is A. Radian B. Steradian c. Degree D. Celcius | 11 |

982 | A century has A. 100 years B. 100 months c. 100 seconds D. 100 weeks | 11 |

983 | Dimensions of ‘ohm’ are same as that of: (Given ( : h ) is Planck’s constant and ( e ) is charge) ( A cdot frac{h}{e} ) в. ( frac{h^{2}}{e} ) ( c cdot frac{h}{e^{2}} ) D. ( frac{h^{2}}{e^{2}} ) | 11 |

984 | 7. The %error in measurement of resistivity is mostly effected by %error in (a) length measurement (b) voltage measurement (c) current measurement (d) diameter measurement | 11 |

985 | 44. If the velocity of light C, the universal gravitational constant G, and Planck’s constant h are chosen as fundamental units, the dimensions of mass in this system are a. h1/21/2G-1/2 b. h-C-G c. hCG-1 d. hCG 2.4 W. hCG | 11 |

986 | The percentage error in a measurement of ( 6 m m text { is } 0.1 % text { , the error is (in } m m) ) A . 0.6 B. 0.06 c. 0.006 D. 0.001 | 11 |

987 | Four charges are placed at the circumference of the dial of a clock as shown in figure. If the clock has only hour hand, then the resultant force on a positive charge ( q_{0} ) placed at the centre, points in the direction which shows the time as :- A . 1: 30 B. 7:30 ( c cdot 4: 30 ) D. 10: 30 | 11 |

988 | The thickness of a metal sheet is measured to be ( 326 m m ). Express its order of magnitude in ( mathrm{mm} ) A ( cdot 10^{circ} ) B. ( 10^{text {। }} ) ( c cdot 10^{2} ) D. ( 10^{3} ) | 11 |

989 | 5. The sum of the numbers 436.32, 227.2 and 0.301 in appropriate significant figures is (a) 663.821 (c) 663.8 (d) 663.82 (b) 664 | 11 |

990 | A physical quantity ( x ) is calculated from the relation ( x=frac{a^{2} b^{3}}{c sqrt{d}} . ) If the percentage error in ( a, b, c ) and ( d ) are ( 2 %, 1 %, 3 % ) and ( 4 % ), respectively, what is the percentage error in ( x ) ? | 11 |

991 | The refractive index ( (mu) ) of glass is found to have the values 1.49,1.50,1.52,1.54 and 1.48 Calculate the absolute error in each measurement. | 11 |

992 | The area of rectangle of size ( 1.23 mathrm{cm} times ) ( 2.345 mathrm{cm} ) is ? A. ( 2.88 c m^{2} ) 2 B . ( 2.884 c m^{2} ) ( mathrm{c} cdot 2.9 mathrm{cm}^{2} ) D . ( 2.88435 mathrm{cm}^{2} ) | 11 |

993 | 25. The dimensions of intensity of wave are a. [M LT-3] b. [MLºT-31 c. [M L-2 T-3] . d. [MºĽT] 26 The dimanaiane af 1 | 11 |

994 | ( 10 mathrm{kg} ) of a metals melted and recast into a cylinder of diameter ( 6 mathrm{mm} ) and ( 25 mathrm{cm} ) long. Find the density of the cylinder. If this cylinder is again melted and recast into 7 equal sized cubes find the density of each cube. Whet do you infer about densities found? | 11 |

995 | In some observations, value of ‘g’ are coming as 9.81,9.80,9.82,9.79,9.78 9.84,9.79,9.78,9.79 and ( 9.80 m / s^{2} ) Calculate absolute errors and percentage error in ( mathfrak{g} ) A ( cdot quad ) ‘g’ ( =(9.80 pm 0.014) mathrm{m} / mathrm{s}^{2} ) B. ‘g’= (9.8 ±0.14 ) ( m / s^{2} ) c. ( operatorname{tg}^{prime}=(9.8 pm 0.0014) m / s^{2} ) D. ‘g’= (9.8000 ( pm 0.00014) mathrm{m} / mathrm{s}^{2} ) | 11 |

996 | Round off following number upto four significant figures 45.689 A . 45.689 B. 45.69 c. 45.68 D. 45.7 | 11 |

997 | If in the formula ( boldsymbol{X}=mathbf{3} boldsymbol{Y} boldsymbol{Z}^{2}, ) the dimensions of ( X ) and ( Z ) are those of the capacitance and magnetic induction, then the dimensions of Y are: A . ( M^{-3} L^{-2} T^{8} A^{4} ) B. ( M^{-3} L^{-2} T^{4} A^{4} ) ( mathbf{c} cdot M^{-3} L^{-2} T^{-4} A^{-4} ) D. ( M^{-3} V^{-2} T^{-8} A^{-4} ) | 11 |

998 | The order of magnitude of 147 is ( A cdot 1 ) B. 2 ( c .3 ) D. 4 | 11 |

999 | How can you minimize backlash error? | 11 |

1000 | Subtract ( 3.2 times 10^{-6} ) from ( 4.7 times 10^{-4} ) with due regard to significant figures. В. ( 7 times 10^{-4} ) c. ( 5.7 times 10^{-4} ) D. ( 4.7 times 10^{-5} ) | 11 |

1001 | A body of mass ( m=3.513 mathrm{kg} ) is moving along the ( x ) -axis with a speed of ( mathbf{5 . 0 0 m s}^{-1} . ) The magnitude of its momentum is recorded as: A . 17.56 kgms ( ^{-1} ) в. 17.57 kgms( ^{-1} ) c. ( 17.6 mathrm{kgms}^{-1} ) D. 17.565 kgms( ^{-1} ) | 11 |

1002 | 72. The length of a strip measured with a meter rod is 10.0 cm. Its width measured with a vernier callipers is 1.00 cm. The least count of the meter rod is 0.1 cm and that of vernier callipers is 0.01 cm. What will be the error in its area? a. 0.01 cm b. +0.1 cm2 C. 0.11 cm d. +0.2 cm2 | 11 |

1003 | The Sl unit of coefficient of mutual inductance of a coil is A. henry B. volt c. farad D. weber | 11 |

1004 | If kinetic energy’ ( K ), velocity’ ( v ) ‘ and time ‘T’ are chosen as the fundamental units, the formula for surface tension ( S ) ( = ) ( (A text { is a constant }) ) ( ^{mathbf{A}} cdot frac{v^{2} K^{2}}{A K} ) в. ( frac{v^{2}}{A K T} ) c. ( frac{A K T^{2}}{v^{2}} ) D. ( frac{A K}{v^{2} T^{2}} ) | 11 |

1005 | Differentiate between the scalar and vector quantities, giving two examples of each. | 11 |

1006 | Write ( S I ) units of luminous intensity and temperature | 11 |

1007 | Write S.I. unit of charge A . B. A C. ( mathrm{N} mathrm{m}^{2} ) D. None of the above | 11 |

1008 | Which of the following systems of units is not based on units of mass, length and time alone? A. s в. мкя c. cas D. FPS | 11 |

1009 | The diameter of a wire as measured by a screw gauge was found to be ( 1.002 mathrm{cm}, 1.004 mathrm{cm} ) and ( 1.006 mathrm{cm} . ) The absolute error in the third reading is: A ( .0 .002 mathrm{cm} ) B. ( 0.004 mathrm{cm} ) c. zero D. ( 1.002 mathrm{cm} ) | 11 |

1010 | Any unit which can be obtained by the combination of one or more fundamental units is called A. Fundamental unit B. Scale c. Derived unit D. standard unit | 11 |

1011 | A given quantity has both magnitude and direction. Is it necessarily be a vector? Justify. | 11 |

1012 | 10. The velocity of a freely falling body changes as gPh9 where g is acceleration due to gravity and h is the height. The values of p and q are (a) 1, (b) 1 1 (b) 2.2 (d) 1,1 21. 11. d | 11 |

1013 | The paint in a certain container is sufficient to paint an area equal to ( 9.375 m^{2} . ) How many bricks of dimensions ( 22.5 times 10 times 7.5 c m ) can be painted out of this container? | 11 |

1014 | kilometer is decimeter. A ( cdot 10^{4} ) B . ( 10^{5} ) ( c cdot 10^{3} ) D. ( 10^{6} ) | 11 |

1015 | 4. Which pair has the same dimensions? (a) Work and power (b) Density and relative density (c) Momentum and impulse (d) Stress and strain The dimensional formula for imnulce is same | 11 |

1016 | ( g c m s^{-2} ) is also known as A. newton B. erg c. pascal D. dyne | 11 |

1017 | Match the Following: begin{tabular}{lll|l} & Column – I & & Column \ & & -II \ A & Weight & p & Scalar \ B & Mass & q & Vector \ C & Force & r & kilogram \ D & Quantity of matter in a body & s & Kgwt (or) kgf end{tabular} ( A cdot A-q, s ; B-p, r ; C-q, s ; D-p, r ) B. A-r,s; B-p,q; C-q,s; D-p,r C. ( A-q, s ; B-p, r ; C-q, r ; D-p, s ) D. A-q,s; B-p,s; C-q,r; D-p, | 11 |

1018 | 21. If force F, acceleration a, and time T are taken as the fundamental physical quantities, the dimensions of length on this system of units are a. FAT b. FAT c. FT d. AT? 2 | 11 |

1019 | Using the concept of force between two infinitely long parallel current carrying conductors, define one ampere of current | 11 |

1020 | Assertion The precision of a measurement depends on least count of measuring instrument. Reason Smaller the least count greater is number of significant figures in measurement value 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 |

1021 | Fill in the blank: The last digit in the measurement gives the first A. certain B. significant c. uncertain D. insignificant | 11 |

1022 | Find the dimensions of pressure. | 11 |

1023 | The force with which the earth attracts a body is called its mass. True or false. A. True B. False | 11 |

1024 | Convert the given measurement into the bigger unit. Then, multiply by the second number and find the products. ( 7 k m 63 m ) and 4 | 11 |

1025 | The respective number of significant figures for the numbers 23.023,0.0003 and ( 2.1 times 10^{-3} ) are A. 5,1,2 B. 5,1,5 ( c cdot 5,5,2 ) D. 4,4,2 | 11 |

1026 | 12. Force F is given in terms of time t and distance x by F = A sin Ct + B cos Dx. Then the dimensions of A/B and CID are a. [MºLºTº], [M°LOT-1 b. [MLT-2), [MºL-‘T”] c. [Mºlºtº], [MºLT-11 d. [MºLT-‘], [M°C°T°) 11 | 11 |

1027 | Students ( A, B ) and ( C ) measure the diameter of a wire using three different screw gauges of least count 0.01 ( mathrm{cm}, 0.05 mathrm{cm} ) and ( 0.001 mathrm{cm} ) respectively. Each one makes 10 measurements.The measurements will be more precise for ( A cdot A ) B. B ( c cdot c ) D. all | 11 |

1028 | ( mathbf{5 8 0 0} boldsymbol{A} ) in nm will be? A. 58 B. 5.8 ( c .580 ) D. 0.58 | 11 |

1029 | A physical quantity of the dimensions of mass that can be formed out of ( c, G ) and ( frac{e^{2}}{8 pi varepsilon_{0}} ) is ( (c text { is velocity of light, } G ) is universal constant of gravitation and ( e ) is charge, ( left.varepsilon_{0} text { is electrical permittivity }right) ) ( ^{mathbf{A}} cdotleft[G frac{e^{2}}{8 pi varepsilon_{0}}right]^{frac{1}{2}} ) ( ^{mathbf{B}} cdot_{c^{0}}left[frac{G e^{2}}{8 pi varepsilon_{0}}right]^{2} ) ( c cdotleft[frac{e^{2}}{G 8 pi varepsilon_{0}}right]^{frac{1}{2}} ) ( c^{0}left[frac{G e^{2}}{8 pi varepsilon_{0}}right]^{frac{1}{2}} ) | 11 |

1030 | The length I, breadth b, and thickness t of a block of wood were measured with the help of a measuring scale. The results with permissible errors (in cm ) are ( l=15.12+_{0} .01, b=10.15+0 ) ( .01, ) andt ( =5.28+0.01 ) The percentage error in volume up to proper significant figures is A. ( 0.28 % ) B. ( 0.35 % ) c. ( 0.48 % ) D. ( 0.64 % ) | 11 |

1031 | Which of the following physical quantities has same unit in all the three system of units? A . Mass B. Length c. Time D. None of these | 11 |

1032 | Modulus of Elasticity is dimensionally equivalent to: A. Stress B. Surface tension c. Strain D. coefficient of viscosity | 11 |

1033 | dt 3. In the relation” = 20 sin(ot+.), the dimensional formula for ot + Po is a. MLT b. MLTºc. ML°T° d. Mºl°T° | 11 |

1034 | 3. Error in the measurement of radius of a sphere is 1%. The error in the calculated value of its volume is (a) 1% (b) 3% (c) 5% (d) 7% | 11 |

1035 | The dimension of stopping potential ( V_{0} ) in photoelectric effect in units of Planck’s constant ‘h’, speed of light ‘c’ and Gravitational constant ‘G’ and ampere ( A ) is: A ( cdot h^{-2 / 3} c^{-1 / 3} G^{4 / 3} A^{-1} ) B ( cdot h^{2} G^{3 / 2} c^{1 / 3} A^{-1} ) c. ( h^{0} c^{5} G^{-1} A^{-1} ) D. ( h^{1 / 3} G^{2 / 3} c^{1 / 3} A^{-1} ) | 11 |

1036 | Error due to eye vision is termed as: A. climax error B. sight error c. parallax error D. visional error | 11 |

1037 | If the unit of mass, length and time be each doubled,then how the unit of power will change. | 11 |

1038 | 11. The equation (P+ 2 (v – b) constant. The unit of a is (a) Dyne x cm (b) Dyne x cm (c) Dyne/cm3 (d) Dyne/cm2 | 11 |

1039 | What is the value of 1 fermi in ( m ? ) A ( cdot 10^{-3} ) 3 B. ( 10^{-6} ) ( c cdot 10^{15} ) D. ( 10^{-15} ) | 11 |

1040 | The scalar quantity among the following is A. weight of body B. temperature gradient c. elementary area D. magnetic field strength | 11 |

1041 | 8. Temperature can be expressed as a derived quantity in terms of any of the following (a) Length and mass (b) Mass and time (c) Length, mass and time (d) None of these | 11 |

1042 | For measuring time in sports events like sprinting, milisecond( (boldsymbol{m s}) ) is a commonly used unit of time. 1 ms ( =? ) ( mathbf{A} cdot 10^{-12} s ) B. ( 10^{-9} s ) ( mathbf{c} cdot 10^{-3} s ) D. None of these | 11 |

1043 | ( mathbf{5 8 0 0} boldsymbol{A}=mathbf{5 . 8} times mathbf{1 0}^{-boldsymbol{x}} boldsymbol{m} . ) Find the value of ( boldsymbol{x} ) | 11 |

1044 | If the unit of length is doubled the numerical value of Area will become times its original value. A ( cdot frac{1}{2} ) B. ( frac{1}{4} ) ( c cdot 2 ) D. 4 | 11 |

1045 | 1. A particle of mass m is located in a region where its potential energy [U(x)] depends on the position x as Potential Energy [U(x)]=– -here a and b are positive constants (i) Write dimensional formula of a and b (ii) If the time period of oscillation which is calculated from above formula is stated by a student as T = 4ta xx ma , check whether his answer is dimensionally 132 correct. | 11 |

1046 | Which among the following is the smallest prefix? A. mill B. nano c. fermi D. deci | 11 |

1047 | Sl unit of the angular velocity is ( A cdot m / s ) B. rad ( c cdot operatorname{rad} / mathrm{s} ) D. m/rad | 11 |

1048 | 10. A screw gauge gives the following reading when used to measure the diameter of a wire. Main scale reading: 0 mm Circular scale reading: 52 divisions Given that 1 mm on main scale corresponds to 100 divisions of the circular scale. The diameter of wire from the above data is: (a) 0.52 cm (b) 0.052 cm (c) 0.026 cm (d) 0.005 cm (AIEEE 2011) | 11 |

1049 | 3. Which of the following does not have the same dimensional formula as that for RT? a. PV b. Pb ab c. V² V2 | 11 |

1050 | The unitless quantity is: A. velocity gradient B. pressure gradiant C. displacement gradient D. force gradient | 11 |

1051 | An iron cylinder of radius ( 1.4 mathrm{cm} ) and length ( 8 mathrm{cm} ) is found to weigh ( 369.6 mathrm{g} ) Calculate the density of iron. A ( cdot 7500 mathrm{kg} / mathrm{m}^{3} ) B. ( 7500 g / c m^{3} ) c. ( 7500 k g / c m^{3} ) D. None of the above | 11 |

1052 | Calculate the area enclosed by a circle of radius ( 0.56 mathrm{m} ) to the correct number of significant figures. | 11 |

1053 | A block of wood of mass ( 24 mathrm{kg} ) floats on water. The volume of wood is ( 0.032 m^{3} ) Find the density of wood.(Density of water ( left.=1000 mathrm{kg} m^{-3}right) ) | 11 |

1054 | Pico is used as prefix in SI system. True ( =1, ) false ( =0 ) | 11 |

1055 | The equation of a wave is given by ( Y= ) ( 4 sin omegaleft(frac{x}{v}-kright) ) where ( omega ) is the angular velocity and ( v ) is the linear velocity. The dimensions of ( k ) is ( ? ) ( A cdot[L T] ) в. ( [T] ) ( mathbf{c} cdotleft[T^{-1}right] ) D・[T’] | 11 |

1056 | The density of mercury is ( 13.6 g m / c c ) Convert it into S.I. units: A ( cdot 13.6 times 10^{3} k g / m^{3} ) B. ( 13.6 times 10^{2} k g / m^{3} ) c. ( 13.6 times 10^{4} k g / m^{3} ) D. ( 13.6 times 10^{5} mathrm{kg} / mathrm{m}^{3} ) | 11 |

1057 | Illustration 1.4 In CGS system the magnitude of the force is 100 dynes. In another system where the fundamental physical quantities are kilogram, meter, and minute, find the magnitude of the force. | 11 |

1058 | A motorboat, whose speed in ( 15 mathrm{km} / mathrm{hr} ) in still water goes ( 30 mathrm{km} ) downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in ( mathrm{km} / mathrm{hr}) ) is: | 11 |

1059 | Newton used the phrase ‘quantity of motion’ for A. Momentum B. Force c. Acceleration due to gravity D. None of these | 11 |

1060 | 1. L, C, and R represent the physical quantities inductance, capacitance, and resistance, respectively. The combinations which have the dimension of frequency are a. 1/RC b. RIL c. 1/VLC d. CIL (IIT JEE, 1984) | 11 |

1061 | Linear momentum and angular momentum have the same dimensions in: A. mass and length B. length and time c. mass and time D. mass, length and time | 11 |

1062 | The volume ( V ) of a liquid crossing through a tube is related to the area of cross-section ( A ), velocity ( v ) and time ( t ) as ( boldsymbol{V} propto boldsymbol{A}^{boldsymbol{a}} boldsymbol{v}^{b} boldsymbol{t}^{c} . ) Which of the following is correct given that ( a neq 1 ? ) A. ( a neq b ) and ( b neq c ) B. ( a=b ) and ( b=c ) c. ( a neq b ) and ( b=c ) D. ( a=b ) and ( b neq c ) | 11 |

1063 | The most basic rule of dimensional analysis is that of dimensional homogeneity. Only commensurable quantities may be A. compared B. equated c. added or subtracted D. all of the above | 11 |

1064 | Cut TLS SUCOUW 17. Calculate the percentage error in specific resistance, p=rR/I, where r = radius of wire = 0.26 + 0.02 cm, 1 = length of wire = 156.0 + 0.1 cm, and R = resistance of wire = 64+2 2. L | 11 |

1065 | ( L, C ) and ( R ) represents the physical quantities, inductance, capacitance and resistance respectively. The combinations which have the dimensions of frequency are: A. ( 1 / R C ) в. ( R C / L ) c. ( 1 / sqrt{L R C} ) D. ( C / L ) | 11 |

1066 | Dimensions of ( frac{1}{mu_{o} epsilon_{o}}, ) where symbols have their usual meaning, are A ( cdotleft[L^{-1} Tright] ) B . ( left[L^{-2} T^{2}right]^{2} ) c. ( left[L^{2} T^{-2}right] ) D・ ( left[L T^{-1}right] ) | 11 |

1067 | 8 = 2. A student performs an experiment for determination of ( 47²e) -, L = lm, and he commits an error of AL. T2 For T, he takes the time of n oscillations with the stop watch of least count At and he commits a human error of 0.1 sec. For which of the following data, the measurement of g will be most accurate? (a) AL = 0.5, At = 0.1, n = 20 (b) AL = 0.5, At = 0.1, n = 50 (c) AL = 0.5, At = 0.01, n = 20 (d) AL = 0.1, At = 0.05, n = 50 | 11 |

1068 | Pressure depends on distance as, ( boldsymbol{P}= ) ( frac{boldsymbol{alpha}}{boldsymbol{beta}} exp left(-frac{boldsymbol{alpha} boldsymbol{z}}{boldsymbol{k} boldsymbol{theta}}right), ) where ( boldsymbol{alpha}, boldsymbol{beta} ) are constants, ( z ) is distance, ( k ) is Boltzman’s constant and ( theta ) is temperature. The dimensions of ( beta ) are ( mathbf{A} cdotleft[M^{0} L^{0} T^{0}right] ) B ( cdotleft[M^{-1} L^{-1} T-1right] ) ( mathbf{c} cdotleft[M^{0} L^{2} T^{0}right] ) D cdot ( left[M^{-1} L^{1} T^{2}right] ) | 11 |

1069 | While measuring the acceleration due to gravity by a simple pendulum, a student makes a positive error of ( 1 % ) in the length of the pendulum and a negative error of ( 3 % ) in the value of time period. His percentage error in the measurement of ( g ) by the relation ( g= ) ( 4 pi^{2}left(l / T^{2}right) ) will be A . ( 2 % ) в. ( 4 % ) c. ( 7 % ) D. ( 10 % ) | 11 |

1070 | The radius of proton is ( 0.6 times 10^{-15} m ) What is the order of magnitude of it volume? A ( cdot 10^{-47} m^{3} ) B . ( 10^{-44} m^{3} ) D. ( 10^{-46} m^{3} ) | 11 |

1071 | If ( L, C ) and ( R ) denote the inductance, capacitance and resistance respectively, the dimensional formula for ( C^{2} ) LR is : ( mathbf{A} cdotleft[M L^{-2} T^{-1} I^{0}right] ) B cdot ( left[M^{0} L^{0} T^{3} I^{0}right] ) ( mathbf{c} cdotleft[M^{-1} L^{-2} T^{6} I^{2}right] ) D ( cdotleft[M^{0} L^{0} T^{2} I^{0}right] ) | 11 |

1072 | The velocity of a particle is given as ( boldsymbol{v}=boldsymbol{a}+boldsymbol{b} boldsymbol{t}+boldsymbol{c} boldsymbol{t}^{2} ). the velocity is measured in ( mathrm{ms}^{-1} ), then units of a and ( c ) are ( mathbf{A} cdot m s^{-1} ) and ( m s^{-3} ) B. ( m s^{-2} ) and ( m s ) ( mathbf{c} cdot m^{2} s ) and ( m s^{2} ) D. ( m s ) and ( m s^{-1} ) | 11 |

1073 | OU ities along with the precision of 12. Measure of two quantities along with the pas respective measuring instrument is A = 2.5 ms- + 0.5 ms-1, B = 0.10 s + 0.01 s. The value of AB will be (a) (0.25 +0.08) m (b) (0.25 +0.5) m (c) (0.25 + 0.05) m (d) (0.25 +0.135) m 13 You monour tun 10 mo | 11 |

1074 | The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively ( 1.5 % ) and ( 1 % ), the maximum error in determining the density is? A . ( 2.5 % ) в. ( 3.5 % ) c. ( 4.5 % ) D. ( 6 % ) | 11 |

1075 | WIWI HUI . 15. A body travels uniformly a distance of (13.8 +0.2) m in a time (4.0 +0.3) s. Calculate its velocity with error limits. What is the percentage error in velocity? | 11 |

1076 | The number of significant figures in 0.00386 is : A. 5 B. 3 ( c cdot 6 ) ( D ) | 11 |

1077 | A spherical liquid drop is placed on a horizontal plane. A small disturbance causes the volume of the drop to oscillate. The time period of oscillation(T) of the liquid drop depends on radius ( (r) ) of the drop, density ( (rho) ) and surface tension(s) of the liquid. Which among the following will be a possible expression for T(where k is a dimensionless constant)? A ( cdot k sqrt{frac{rho r}{s}} ) B. ( k sqrt{frac{rho^{2} r}{s}} ) ( ^{mathrm{c}} cdot sqrt[k]{frac{rho r^{3}}{s}} ) D. ( k sqrt{frac{rho r^{3}}{s^{2}}} ) | 11 |

1078 | Mean free time of electrons are expressed in picosecond( (boldsymbol{p s}) . ) 1ps ( =? ) ( mathbf{A} cdot 10^{-12} s ) B ( cdot 10^{-9} s ) ( mathbf{c} cdot 10^{-3} s ) D. None of these | 11 |

1079 | The diameter of a wire as measured by screw gauge was found to be 2.620,2.625,2.628 and ( 2.626 mathrm{cm} ) Calculate fractional error. | 11 |

1080 | The mass of an oxygen atom is 1600 u. Find its order of magnitude in ( mathrm{kg} ) | 11 |

1081 | Three measurements 7.1J, 7.2J and 6.7 are made as experiment and added the result with correct number of significant figures is A . 7.1 B . 7.06 c. 7.0 D. 7] | 11 |

1082 | The unit of molar susceptibility is A ( cdot k g^{-1} m^{3} ) в. ( k g m^{3} ) ( c cdot m^{3} ) D. Unit less | 11 |

1083 | The mass of a ball is ( 1.76 k g . ) The mass of 25 such balls is A. ( 440.00 mathrm{kg} ) в. ( 44.40 k g ) c. ( 44.0 k g ) D. 44.00kg | 11 |

1084 | Find the order of magnitude of 38500 ( mathbf{k g} ) | 11 |

1085 | Which of the following pairs have same dimensions. a) Torque and work b) Angular momentum and work c) Energy and Youngs modulus d) Light year and wavelength ( A cdot ) a and ( b ) are correct B. b and c are correct c. c and d are correct D. d and a are correct | 11 |

1086 | A Standard unit does not change with respect to space and time. A . True B. False | 11 |

1087 | Write the S.I unit of three fundamental quantities. | 11 |

1088 | Give reasons as to why equal masses of different substances have different volumes. A. because they have different shapes B. because they have different densities c. because they have the same densities D. none of these | 11 |

1089 | Which of the following physical quantities has no unit? A. Relative density c. Pressure D. Thrust | 11 |

1090 | The least count of a stop watch is 0.2 s. The time of 20 oscillations of a pendulum is measured to be 25 s. The percentage error in the measurement of time will be: A . ( 16 % ) в. 1.8 % c. ( 0.8 % ) D. 0. % | 11 |

1091 | If voltage ( V=(100 pm 5) vee ) and current ( I= ) ( (10 pm 0.2) A, ) the percentage error in resistance R is A . ( 5.2 % ) B . 25% c. ( 7 % ) D. 10% | 11 |

1092 | Write the dimensional formula of pressure. | 11 |

1093 | The physical quantity having the same unit in all the systems of unit is : A. length B. mass c. time D. foot | 11 |

1094 | Of the following quantities which one has the dimensions different from the remaining three? A. Energy density B. Force per unit area c. Product of charge per unit volume and voltage D. Angular momentum per unit mass | 11 |

1095 | One second is defined to be equal to: A. 1650763.73 periods of krypton clock B. 652189.63 periods of krypton clock C. 1650755.73 periods of cesium clock D. 9,19,26,31,770 periods of cesium clock | 11 |

1096 | 1. Why do we have different units for the same physical quantity? | 11 |

1097 | Calculate the number of light years in a petametre. (where ( left.1 text { peta }=10^{15} mright) 1 ) | 11 |

1098 | The dimensions of ( frac{v^{2}}{mu g} ) where ( mu= ) coefficient of friction, ( boldsymbol{v}= ) the velocity ( g= ) acceleration due to gravity is same as that of ( ^{A} cdot frac{F}{B q} ) в. ( mu F ) c. ( frac{F}{m} ) D. None | 11 |

1099 | 21. The dimensional formula for Planck’s constant (a) is | 11 |

1100 | ‘The parallax angle in radians is: ( boldsymbol{theta}= ) ( left(1+frac{54}{60}right) times frac{pi}{180}=0.03316 mathrm{rad} ) Hence, the distance between moon and earth: A. ( frac{text { Diameter of Earth }}{theta} ) в. ( frac{1.276 times 10^{7} m}{0.03316} ) c. ( 3.84 times 10^{8} m ) D. nnone of these | 11 |

1101 | Calculate the area enclosed by a circle of diameter ( 1.12 m ) to the correct number of significant figures. | 11 |

1102 | Add ( 3.8 times 10^{-6} ) to ( 4.2 times 10^{-5} ) with due regard to significant figures. begin{tabular}{ll} A. ( 4.6 times 10^{-5} ) & 5 \ hline end{tabular} в. ( 4.6 times 10^{-6} ) c. ( 5.6 times 10^{-6} ) D. ( 6.6 times 10^{-5} ) | 11 |

1103 | The length of a strip measured with a meter rod is ( 10.0 mathrm{cm} ) its width measured with a vernier caliper is ( 1.00 mathrm{cm} . ) The least count of the meter rod is ( 0.1 mathrm{cm} ) and that of vernier caliper caliper 0.01 ( mathrm{cm} ) water will be error in its area? ( mathbf{A} cdot pm 13 % ) B. ( pm 7 % ) ( c . pm 4 % ) D. ( pm 2 % ) | 11 |

1104 | In the expression ( y=a sin (omega t+theta), y ) is displacement and ( t ) is the time. Write the dimensions of ( omega ) ( mathbf{A} cdotleft[M^{0} L T^{0}right] ) В ( cdotleft[M^{0} L^{0} T^{0}right] ) C . ( left[M^{0} L^{0} T^{-1}right. ) ( mathbf{D} cdotleft[M^{1} L^{0} T^{0}right] ) | 11 |

1105 | The dimension of mass is zero in which of the following physical quantities? A. Gravitational potential B. Latent heat c. specific heat capcity D. All of the above | 11 |

1106 | Which of the following statements below should be followed while using the symbol for a unit of a physical quantity? This question has multiple correct options A. The symbol named after a scientist should begin with a capital letter B. They can take plural forms. c. They can be written in full D. They should be written only in the agreed symbols while using symbols. | 11 |

1107 | A wire has a mass ( 0.3 pm 0.003 mathrm{g} ), radius ( mathbf{0 . 5} pm mathbf{0 . 0 0 5} boldsymbol{m m} ) and length ( boldsymbol{6} pm ) ( 0.06 mathrm{cm} . ) The maximum percentage error in the measurment of its density is A . 1 B. 2 ( c .3 ) D. 4 | 11 |

1108 | The Vanderwaal’s equation for a gas is ( left(p+frac{a}{V^{2}}right)(V-b)=n R T, ) where ( P, v ) R, ( T ) and ( n ) represent the pressure, volume, universal gas constant, absolute temperature, and number of moles of a gas respectively and ‘a’ and ‘b’ are constants. The ratio ( frac{b}{a} ) will have the following dimensional formula: ( mathbf{A} cdot M^{-1} L^{-2} T^{2} ) В. ( M^{1} L^{-1} T^{-1} ) c. ( M L^{2} T^{2} ) D. ( M L T^{-2} ) | 11 |

1109 | What is parallax? Explain. | 11 |

1110 | Which of the statements are correct? This question has multiple correct options A. Unit of work is ( mathrm{kgm}^{2} mathrm{s}^{-2} ) B. Unit of force is ( k g m s^{-2} ) C. Unit of work is ( k g m s^{-2} ) D. Unit of force is ( k g m^{2} s^{-2} ) | 11 |

1111 | The sun’s angular diameter is measured to be ( 1920^{prime prime} . ) The distance of the sun from the earth is ( 1.496 times ) ( 10^{11} ) m. What is the diameter of the sun? A ( cdot 1 times 10^{9} m ) В. ( 1.39 times 10^{9} m ) c. ( 13.9 times 10^{9} mathrm{m} ) D. ( 139 times 10^{9} m ) | 11 |

1112 | Arrange the following physical quantities in the increasing order of their magnitudes I. 1 dyne II. ( 1 N ) III. ( 3 k g m s^{-2} ) IV. ( 10^{7} g c m s^{-2} ) ( mathbf{A} cdot |, 1, ) ॥I ( , ) IV B. IV, ।, ॥ᅵ, ॥ c. ॥, ॥ा, ।, IV D. I, II, III, IV | 11 |

1113 | The prefix used to represent ( 10^{-2} ) is called A . Mill B. Centi c. кilo D. Deci | 11 |

1114 | In Searle’s exp to find Young’s modulus, the diameter of wire is measured as ( mathrm{D}= ) ( 0.05 mathrm{cm}, ) length of wire is ( mathrm{L}=125 mathrm{cm}, ) and when a weight, ( m=20.0 mathrm{kg} ) is put, extension in wire was found to be 0.100 cm. Find maximum permissible error in young’s modulus (Y). A . 43 % в. 6.3% c. ( 0.63 % ) D. 630% | 11 |

1115 | Mention two advantages of the metric system. | 11 |

1116 | Percentage errors in the measurement of mass and speed are ( 2 % ) and ( 3 % ) respectively. The error in the estimation of kinetic energy obtained by measuring mass and speed will be: A. 8% B. २% c. 12% D. 10% | 11 |

1117 | Dimensional analysis of the equation ( (V e l o c i t y)^{x}= ) ( (text {Pressuredifference})^{frac{3}{2}} cdot(text { density })^{frac{-3}{2}} ) gives the value of ( x ) as: ( A ) B. 2 ( c cdot 3 ) ( D cdot-3 ) | 11 |

1118 | The equation of .a wave, travelling with amplitude ( A, ) linear ( u, ) angular velocity ( omega ) is given by ( boldsymbol{y}=boldsymbol{A} sin boldsymbol{omega}left(frac{boldsymbol{x}}{boldsymbol{v}}-boldsymbol{k}right) ) The dimensions of ‘k’ are A . ( [T] ) B ( cdotleft[T^{-1}right] ) ( mathbf{c} cdotleft[T^{-2}right] ) D・ ( left[T^{2}right] ) | 11 |

1119 | Sl unit of momentum is A. dyne ( cdot )sec в. ( g cdot mathrm{cms}^{-1} ) c. ( N s ) ( mathbf{D} cdot g m cdot s ) | 11 |

1120 | Assertion The number 1.202 has four significant figures and the number 0.0024 has two significant figures. Reason All the non zero digits are significant. 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 |

1121 | Illustration 1.3 Convert gravitational constant (G) from CGS to MKS system. | 11 |

1122 | 22. If the percentage errors the percentage errors of A, B, and C are a, b, and c, respectively, then the total percentage error in the product ABC is a. abc b. a + b + c -+-+- a b d. ab + bc + ca c | 11 |

1123 | State whether the given statement is True or False : The force on a mass m due to gravity is | 11 |

1124 | The sum of the numbers 436.32,227.2 and 0.301 in appropriate significant figures is then A . 663.821 B. 664 c. 663.8 D. 663.82 | 11 |

1125 | Round off 2.0082 to four significant figures. A . 2.008 B. 2.0082 c. 2.009 ( D ) | 11 |

1126 | ( frac{boldsymbol{alpha}}{boldsymbol{t}^{2}}=boldsymbol{F} boldsymbol{v}+frac{boldsymbol{beta}}{boldsymbol{x}^{2}} ) Find the dimensional formula for ( [boldsymbol{alpha}] ) and ( [beta] ) using the given equation (here ( t= ) time, ( F= ) force, ( v= ) velocity, ( x= ) distance) | 11 |

1127 | Systematic error occurred due to poor calibration of instrument that can be corrected by A. taking several readings B. replacing instruments c. taking mean of values D. taking median of values | 11 |

1128 | The Sl unit of ( frac{1}{2 pi sqrt{L C}} ) is equivalent to that of : A. time period B. frequency c. wavelength D. wave number | 11 |

1129 | The position of a particle at time ( t ) is given by the relation ( boldsymbol{x}=frac{boldsymbol{v}_{0}}{boldsymbol{alpha}}left(mathbf{1}-boldsymbol{e}^{-boldsymbol{alpha} t}right) ) The dimensional formula for ( boldsymbol{alpha}^{2} boldsymbol{v}_{0}^{3} ) will be : | 11 |

1130 | Which of the following sets cannot enter into the list of fundamental quantities in any system of units? A. length, mass and velocity B. length, time and velocity c. mass, time and velocity D. length, time and mass | 11 |

1131 | Assertion Absolute error may be negative or positive. Reason Absolute error is the difference between the real value and the measured value of a physical 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. Assertion is incorrect but Reason is correct | 11 |

1132 | A famous relation in physics relates ‘moving mass’ ( mathrm{m} ) to the ‘rest mass’ ( boldsymbol{m}_{mathbf{0}} ) of a particle in terms of its speed v and the speed of light, c. (This relation first arose asa consequence of special relativity due to Albert Einstein). A boy recalls the relation almost correctly but forgets where to put the constant c. He writes: ( boldsymbol{m}=frac{boldsymbol{m}_{o}}{left(mathbf{1}-boldsymbol{v}^{2}right)^{1 / 2}} ) Guess where to put the missing c. | 11 |

1133 | Which of the following is used as ( mathrm{S} ) I prefix: This question has multiple correct options A . Mega B. Hecto c. Tera D. Mara | 11 |

1134 | In resonance tube experiment, the velocity of sound is given by ( boldsymbol{v}= ) ( 2 f_{0}left(l_{1}-l_{1}right) . ) We found ( l_{1}=25.0 c m ) and ( l_{2}=75.0 c m . ) If there is no error in frequency, what will be the maximum permissible error in the speed of sound? ( left(text {Take} f_{0}=mathbf{3 2 5 H z}right) ) | 11 |

1135 | Which of the following statements are true for density? A. It is a physical property of matter B. It is a scalar quantity c. It is the mass per unit volume of a substance D. All of the above | 11 |

1136 | Write the number of significant digits in 100.1 | 11 |

1137 | Illustration 1.19 Repeated observations in an experiment gave the values 1.29, 1.33, 1.34, 1.35, 1.32, 1.36, 1.30, and 1.33. Calculate the mean value, absolute error, relative error, and percentage error. | 11 |

1138 | 1 parsec = metres | 11 |

1139 | Assertion A piece of ice, with a stone frozen inside it, floats on water in a beaker. When the ice melts, the level of water in the beaker decreases. Reason Density of stone is more than of water 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 |

1140 | Name any two units of length which are bigger than the metre. Write the relation between each of those units and the metre. | 11 |

1141 | What are the dimensions of ( boldsymbol{K}=frac{mathbf{1}}{mathbf{4} boldsymbol{pi} boldsymbol{epsilon}_{0}} ? ) (Given, N is the unit of force, with dimensions ( M L T^{-2} ) ) A ( cdot C^{2} N^{-1} M^{-2} ) в. ( N M^{2} C^{-2} ) c. ( N M^{2} C^{2} ) D. Unitless | 11 |

1142 | Quantity ( X ) has a fractional uncertainty of ( x . ) Quantity ( Y ) has a fractional uncertainty of ( y ) What is the fractional uncertainty in ( frac{boldsymbol{X}}{boldsymbol{Y}^{2}} ) ( mathbf{A} cdot x+y ) в. ( x-y ) c. ( x+2 y ) D. ( x-2 y ) | 11 |

1143 | Illustration 1.20 A physical parameter a can be determined by measuring the parameters b, c, d, and e using the relation a = bºld’e”. If the maximum errors in the measurement of b,c, d, and e are b,%,c,%, d,%, and e,%, then find the maximum error in the value of a determined by the experiment. | 11 |

1144 | The initial and final temperatures of a liquid are measured to be ( 67.7+0.2^{0} C ) and ( 76.3+0.3^{0} C ) Calculate the rise in temperature with error limits. A ( cdot 8.6 pm 0.5^{circ} mathrm{C} ) B ( .9 pm 0.5^{0} C ) ( mathbf{c} cdot 16 pm 0.5^{0} C ) D. ( 2.6 pm 0.5^{circ} mathrm{C} ) | 11 |

1145 | The value due regard to significant figure ( 4.0 times 10^{-4}-2.5 times 10^{-6} ) A ( cdot 4.0 times 10^{-4} ) B. ( 3.975 times 10^{-4} ) c. ( 3.9 times 10^{-4} ) D. none of the above | 11 |

1146 | Illustration 1.27 The length and breadth of a field are measured as: I=(1202)m and b=(100+5) m, respectively. What is the area of the field? | 11 |

1147 | The proper value of significant figures in ( 38.0+0.0035+0.00003 ) is: A . 38 B. 38.0035 c. 38.00353 D. 38.0 | 11 |

1148 | A boy wants to buy new shoes. To find out his correct shoe size the of his feet should be measured A. Length B. Thickness c. Area D. volume | 11 |

1149 | c. 13% d. 20% 04. Using mass (M), length (L), time (T), and electric current (A) as fundamental quantities, the dimensions of permittivity will be a. [MLT-‘A-‘) b. [M LT-2 A-21 c. M-‘L-314 A21 d. [ ML-21-2 A1 | 11 |

1150 | 1. Planck’s constant has dimensions – (IT JEE, 1985) | 11 |

1151 | Universal gravitational constant is given by ( 6.67 times 10^{-11} N m^{2} k g^{-2} . ) Then the no. of significant figures in it is: A . 14 B. 2 ( c cdot 3 ) D. 11 | 11 |

1152 | 1: Method of dimensions cannot be used for deriving formulae containing trigonometrical ratios. 2: Trigonometrical ratios are dimensionless. A. 1 and 2 are correct and 2 is correct explanation of B. 1 and 2 are correct and 2 is not correct explanation of ( c .1 ) is true and 2 is false D. 1 is false and 2 is true | 11 |

1153 | Given that force ( F ) is given by, ( boldsymbol{F}= ) ( boldsymbol{P t}^{-1}+boldsymbol{Q} boldsymbol{t}, ) where ( t ) is the time. The unit of ( P ) is same as that of A. velocity B. acceleration c. displacement D. momentum | 11 |

1154 | The correct way to represent ( 10^{9} W ) is ( mathbf{A} cdot 1 G W ) в. ( 1 M W ) ( mathbf{c} cdot 1 T W ) D. none of these | 11 |

1155 | A rectangular block ( 5 mathrm{m} times 4 mathrm{m} times 2 mathrm{m} ) lies on a table with its largest surface in contact with the table. The work done to keep it so that the block rests on the smallest surface is, if its density is 600 ( mathbf{k} boldsymbol{m}^{-mathbf{3}} ) A . 352800 J B. zero c. ( 376000 mathrm{J} ) D. ( 24,0000 mathrm{J} ) | 11 |

1156 | What is the ratio of CGS to MKS unit of acceleration? A ( cdot frac{m}{c m} ) в. ( frac{m}{s} ) c. ( frac{c m}{s} ) D. ( frac{c m}{m} ) | 11 |

1157 | The prefixes ( n a n o(n), m i c r o(mu) ) and pico ( (p) ) are often used with units. Which row shows their correct values? A ( cdot n=10^{-6}, mu=10^{-9}, p=10^{-12} ) B . ( n=10^{-6}, mu=10^{-12}, p=10^{-9} ) C ( . n=10^{-9}, mu=10^{-6}, p=10^{-12} ) D . ( n=10^{-12}, mu=10^{-9}, p=10^{-6} ) | 11 |

1158 | If the values of force and length are increased four times, then the unit of energy will be increase by: A. 4 times B. 2 times c. 8 times D. 16 times | 11 |

1159 | If unit of mass, length and time are tripled, then unit of energy becomes: ( mathbf{A} cdot mathbf{3} ) B. ( frac{1}{3} ) c. 9 D. | 11 |

1160 | The average kinetic energy ( E ) of a gas molecule is given by the equation ( boldsymbol{E}= ) ( frac{3}{2} k T ) where ( T ) is the absolute (kelvin temperature) What are the SI base units if ( k ) ? | 11 |

1161 | If the length of a simple pendulum is recorded as ( (90.00 pm 0.02) mathrm{cm} ) and period as ( (1.90 pm 0.02) mathrm{s}, ) the percentage of error in the measurement of acceleration due to gravity is : A . 4.2 B . 2. c. 1.5 D. 2.8 | 11 |

1162 | Assertion The Sl unit of volume is ( m^{3} ) Reason Volume is a derived quantity of length. 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 |

1163 | If the velocity of light ( C, ) the universal gravitational constant ( G, ) and Planck’s constant ( h ) are chosen as fundamental units, the dimension of mass in this system are A ( cdot h^{1 / 2} C^{1 / 2} G^{-1 / 2} ) ( mathbf{B} cdot h^{-1} C^{-1} G ) ( c cdot h C G^{-1} ) D. ( h C G ) | 11 |

1164 | Velocity of light in centimeter per nano second is | 11 |

1165 | Illustration 1.7 Convert 54 km h-‘ into ms. | 11 |

1166 | A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading: 58.5 degree, Vernier scale reading : 9 divisions. Given that 1 division on main scale corresponds to 0.5 degree. Total divisions on the vernier scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the above data: A . 58.59 degree B. 58.77 degree c. 58.65 degree D. 59 degree | 11 |

1167 | Which of the following equation is dimensionally correct? A. Pressure = Energy per unit area B. Pressure = Energy per unit volume c. Pressure = Force per unit volume D. Pressure = Momentum per unit volume per unit time | 11 |

1168 | Can a physical quantity have units but still be dimensionless? | 11 |

1169 | C. Cum d. I/CUTEN 51. The moment of inertia of a body rotating about a given axis is 12.0kg m’in the SI system. What is the value of the moment of inertia in a system of units in which the unit of length is 5 cm and the unit of mass is 10 g? a. 2.4 x 103 b. 6.0 x103 c. 5.4 x105 d. 4.8×105 | 11 |

1170 | The S.I. unit of magnetic pole strength is A ( . A . m^{2} ) B. ( A . m^{-1} ) c. A.m D. ( A / m^{2} ) | 11 |

1171 | ( mathbf{1}^{o} boldsymbol{A} ) is A. ( 10 n m ) B. ( 0.1 n m ) c. 100 n ( m ) D. ( 1 n m ) | 11 |

1172 | The number of significant figures in 0.06900 is the A. 5 B. 4 ( c cdot 2 ) ( D ) | 11 |

1173 | The dimensions of universal gas constant are ( mathbf{A} cdotleft[L^{2} M^{1} T^{-2} K^{-1}right] ) B ( cdotleft[L^{1} M^{2} T^{-2} K^{-1}right] ) c. ( left[L^{1} M^{1} T^{-2} K^{-1}right] ) D ( cdotleft[L^{2} M^{2} T^{-2} K^{-1}right] ) | 11 |

1174 | The refractive index ( (mu) ) of glass is found to have the values 1.49,1.50,1.52,1.54 and 1.48 Calculate absolute error is each measurement A ( cdot Delta n_{5}=1.51-1.48=+0.03 ) B . ( Delta n_{4}=1.51-1.54=-0.03 ) C ( . Delta n_{3}=1.51-1.52=-0.01 ) D. All of these | 11 |

1175 | Express 0.006006 into scientific notation in three significant digits: A ( cdot 6.01 times 10^{-3} ) B . ( 6.0006 times 10^{-3} ) c. ( 6.00 times 10^{-3} ) D. ( 6.0 times 10^{-3} ) | 11 |

1176 | Femto is ( =10^{-x}, ) then ( x=? ) | 11 |

1177 | A watch shows time as 3: 25 when seen through a mirror, time appeared will be then ( A cdot 8: 35 ) B. 9: 35 ( c cdot 7: 35 ) D. 8: 25 | 11 |

1178 | In the experiment of verification of Ohms law the error in the current measurement is ( 1 % ), while that in the voltage measurement is ( 2 % ). The error in the resistance has a maximum value of A . 1% B. 2% c. 3% D. none of these | 11 |

1179 | With a highly advanced precision instrument: A. percentage error can be reduced B. totally accurate value can be measured c. true value can be found out D. all the above | 11 |

1180 | The length, breadth and thickness of a rectangular sheet of metal are ( 4.234 mathrm{m} ) ( 1.005 mathrm{m}, ) and ( 2.01 mathrm{cm} ) respectively. Give the area and volume of the sheet to correct significant figures. | 11 |

1181 | Measure of two quantities along with the precision of respective measuring instrument is ( boldsymbol{A}=mathbf{2 . 5 m s}^{-1} pm mathbf{0 . 5 m s}^{-1}, boldsymbol{B}=mathbf{0 . 1 0 s} pm ) ( mathbf{0 . 0 1 s} ) The value of ( A B ) will be ( mathbf{A} cdot(0.25 pm 0.08) m ) в. ( (0.25 pm 0.8) m ) c. ( (0.25 pm 0.05) m ) D. ( (0.25 pm 0.135) m ) | 11 |

1182 | Sl unit of Magnetic flux is weber and its CGS unit is maxwell. Then ( 1 mathrm{Wb}= ) A ( cdot 10^{6} ) maxwel B . ( 10^{7} ) maxwell c. ( 10^{8} ) maxwell D. ( 10^{9} ) maxwell | 11 |

1183 | 39. The quantities A and B are related by the relation A/B = m, where m is the linear mass density and A is the force, the dimensions of B will be a. Same as that of pressure b. Same as that of work c. That of momentum d. Same as that of latent heat | 11 |

1184 | If energy (E), force (F) and linear momentum (P) are fundamental quantities, then match the following and give correct answer. ( mathbf{A} ) B Physical quantity Dimensional formula Mass ( E^{0} F^{-1} p^{1} ) a) d) b) Length e) ( E^{-1} F^{0} p^{2} ) Time ( E^{1} F^{-1} p^{0} ) c) f) ( r ) 1 an ( A cdot a-d, b-e, c-f ) B. a-f, b-e, c-d ( mathbf{C} cdot a-e, b-f, c-d ) D. a-e, b-d, c-f | 11 |

1185 | The dimensions of ( frac{a}{b} ) in the equation ( P=frac{a-t^{2}}{b x}, ) where ( P ) is pressure, ( x ) is distance and ( t ) is time, are A ( cdotleft[M^{2} L T^{-3}right] ) в. ( left[M T^{-2}right] ) ( mathbf{c} cdotleft[L T^{-3}right] ) ( mathbf{D} cdotleft[M L^{3} T^{-1}right] ) | 11 |

1186 | 9. The diameter of a sphere is 3.34 m. Calculate its volume with due regard to significant figures. o a | 11 |

1187 | Boiling point of water on the Fahrenheit scale is ( mathbf{A} cdot 100^{circ} mathrm{F} ) В. ( 112^{circ} mathrm{F} ) c. ( 212^{circ} ) F D. 32 ( ^{circ} ) | 11 |

1188 | A bottle can hold ( 100 g ) of water at ( 40^{circ} mathrm{C} ) What mass of sea water (Density ( = ) ( left.1030 k g / m^{2}right) ) can it hold? | 11 |

1189 | Which of the following is a unit of distance? A. second B. Candela c. мо। D. Light year | 11 |

1190 | 6. Which of the following is not the unit of energy? (a) Calorie (b) Joule (c) Electron volt (d) Watt | 11 |

1191 | Assertion Statement I : A physical quantity can be regarded as a vector, if magnitude as well as direction is associated with it. Reason Statement II : A physical quantity can be regarded as a scalar quantity, if it is associated with magnitude only. | 11 |

1192 | The wavelength of monochromatic light is ( 6000 A^{0} . ) Write this value in ( n m ) | 11 |

1193 | 5. Which of the following pairs has/have the same dimensions? a. Reynold number and coefficient of friction b. Curie and frequency of light wave c. Latent heat and gravitational potential d. Planck’s constant and torque (IIT JEE, 1995) | 11 |

1194 | The accuracy of measurement also lies in the way the result is expressed. The number of digits to which a value is to be expressed is one digit more than number of sure numbers. Rules do exist to deal with number of digits after an operation is carried out on the given values. The error can be minimised by many trials and using the correct methods and instruments. If the length and breadth are measured as 4.234 and ( 1.05 mathrm{m}, ) the area of the rectangle is A ( .4 .4457 m^{2} ) B . ( 4.45 mathrm{m}^{2} ) c. ( 4.446 m^{2} ) D. ( 0.4446 m^{2} ) | 11 |

1195 | Identify which of the following statements is true? A. Displacement is a scalar and distance is a vector B. Displacement is a vector and distance is scalar. c. Both displacement and distance are vectors. D. Neither displacement nor distance the vectors E. Displacement and distance are slangs equal | 11 |

1196 | One ohm is equal to ( mathbf{A} cdot 10^{6} M Omega ) B ( cdot 10^{9} M Omega ) ( mathbf{c} cdot 10^{-6} M Omega ) D. none of these | 11 |

1197 | Write the number of significant figures for 1.0076 | 11 |

1198 | Name one unit of time bigger than a second. A. plank time B. zeptosecond c. picosecond D. kilosecond | 11 |

1199 | Fill in the Blanks Angular displacement is a vector quantity for (very small/even large) | 11 |

1200 | The dimensions of ( epsilon_{0} mu_{0} ) ( mathbf{A} cdotleft[L T^{-1}right] ) B . ( left[L T^{-2}right] ) c. ( left[L^{2} T^{-2}right] ) ( mathbf{D} cdotleft[L^{-2} T^{-2}right] ) | 11 |

1201 | Write the order of magnitude of mass of an electron ( 9.1 times 10^{-31} mathrm{kg} ) | 11 |

1202 | The shaded portion on a 24 hour clock given below tells the sleeping time of a sloth’ (a bear). Find the time for which the sloth is asleep. Find the time for which the sloth is awake. If it sleep at 6 h 15 min then when does the sloth awake. | 11 |

1203 | Length, breadth and thickness of a rectangular slab are ( 4.234 mathrm{m}, 1.005 mathrm{m} ) and ( 2.01 mathrm{m} ) respectively. Find volume of the slab to correct significant figures. ( mathbf{A} cdot 8.55 m^{3} ) в. ( 8.552 m^{3} ) c. ( 8.6 m^{3} ) D. None of the above | 11 |

1204 | Statement -1: Kinetic energy can be divided by volume and Statement -2: Dimensions of kinetic energy and volumeare different A. Statement- -1 is True Statement-2 is True Statement-2 is a correct explanation for Statement- B. Statement- – – is True Statement-2 is True: Statement-2 is NOT a correct explanation for Statement-1 c. statement – – is True Statement – – 2 is False. D. Statement-1 is False Statement- -2 is True | 11 |

1205 | Illustration 1.24 The initial and final temperatures of water as recorded by an observer are (40.6+0.2)°C and (78.9+0.3)°C. Calculate the rise in temperature with proper error limits. | 11 |

1206 | The interval of time that elapses between two consecutive passages of a fixed star (other than the sun) across the meridian is called A. mean solar day B. mean sidereal day C. mean solar year D. mean sidereal year | 11 |

1207 | Temperature is measured in degree | 11 |

1208 | Pressure is dimensionally: This question has multiple correct options A. Force per unit area B. Energy per unit volume C. Momentum per unit area per second D. Momentum per unit volume | 11 |

1209 | Simplify and round to the appropriate number of significant digits ( (a) 16.235 times 0.217 times 5 ) (b) ( 0.00435 times 4.6 ) | 11 |

1210 | Two students ( P ) and ( Q ) perform an experiment to verify Ohm’s law for a conductor with resistance R. They use a current source and a voltmeter with least counts of ( 0.1 mathrm{mA} ) and ( 0.1 mathrm{mV} ) respectively. The plots of the variation of voltage drop(V) across R with current(i) for both are shown. the statement which is most likely to be correct is? A. P has only random error(s) B. Q has only systematic error(s) c. ( Q ) has both random and systematic errors D. P has both random and systematic errors | 11 |

1211 | The velocity ( v ) of a particle at time ( t ) is given by ( v=a t+frac{b}{t+c}, ) where ( a, b ) and ( c ) are constants.The dimensions of ( a, b ) and ( c ) are respectively: ( mathbf{A} cdot mathrm{LT}^{-2}, mathrm{L} ) and ( mathrm{T} ) B. ( L^{2}, ) T and ( L T^{2} ) c. ( L^{2} ), LT and ( L ) D. L, LT and ( T^{2} ) | 11 |

1212 | Q Type your question ( sqrt{07} ) What is and ( mathbf{A} cdot(A) ) ( -b-t-3 ) ( (B) ) ( -c-s-4 ) ( (C) ) ( -a-q-1 ) ( (D) ) ( -e-r-5 ) ( (E) ) ( -d-p-2 ) ( mathbf{B} cdot(A) ) ( -c-s-3 ) ( (B) ) ( -b-s-4 ) ( (C) ) ( -a-t-1 ) ( (D) ) ( -e-r-5 ) ( (E) ) ( -d-p-2 ) ( mathbf{C} cdot(A) ) ( -d-p-3 ) ( (B) ) ( -e-r-4 ) ( (C) ) ( -a-q-1 ) ( (D)-c-s-5 ) ( (E)-b-t-2 ) D. None of these | 11 |

1213 | Which of the following is not a unit of time? A. Mean solar day B. Lunar Month C. Calendar year D. Light year | 11 |

1214 | If power (P), surface tension (S) and Planck’s constant (h) are arranged so that the dimensions of time in their dimensional formulae are in ascending order, then which of the following is correct then? ( A cdot P, S, h ) B. P, h, S ( c cdot s, P, h ) D. s, h, P. | 11 |

1215 | — – 0 as d un 15u00. 10. Solve with due regard to significant figures: 5.42 x 0.6753 0.085 | 11 |

1216 | Assertion Light year and wavelength have same dimensional formula. Reason Both have the dimensions of time 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 |

1217 | ( sqrt{mu_{0} epsilon_{0}} ) has the dimensions ( mathbf{A} cdotleft[M^{0} L T^{-1}right] ) В . ( left[M^{0} L^{-1} Tright] ) ( mathbf{c} cdotleft[M^{2} L^{3} T^{-1}right] ) D cdot ( left[M^{-1} L^{3} T^{-2}right] ) | 11 |

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