physics medical entrrance

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1. The dimensional formula of magnetic flux is a) ML-2T-2A-2 b) ML0T-2A-2 c) ML2T-2A-1 d) ML2T-1A3 2. The dimension of the gravitation constant are a) M-1L3T-2 b) MLT-2 c) ML2T-1 d) M 2L-2T-2 3. If L and R represent inductance and resistance respectively, then the dimension of L/R will

be a) ML0T0 b) M0L0T c) M0L0T -2 d) M0LT-2 4. The dimensions of angular velocity is a) MLT-2 b) M2L0T -1 c) M0L0T -1 d) ML2T-2 5. Dimension of impulse is a) ML-1T-2 b) ML T-1 c) MT -2 d) ML-1T-3 6. One poise is equal to a) 0.01 N-S/m2 b) 0.1 N-S/m2 c) 1 N-S/m2 d) 10 N-S/m2 7. How many wavelengths of K86 are there in one meter? a) 1553164.13 b) 1650763.73 c) 2348123.73 d) 652189.63 8. Gas constant R can be expressed in a) Erg K-1moles-1 b) Newton m-1 sec c) Kg meter sec-1 d) Joule K-1mole-1

9. Dimensions of modulus of rigidity are a) M1L2T-2 b) M2L-1T-3 c) M1L-2T-2 d) M1L-1T-2 10. Dimensions of Boltzman’s constant are a) M1L2T-2θ-1 b) M2L1T-2θ-1 c) M1L2T-2θ d) M1L0T-2θ-1 11. Dimensions of LC( product of self conductance and capacitance) are a) M0L0T2 b) M0L0T-2 c) M0L2T-2 d) M0L0T0

12. The pressure P, volume V, and absolute temperature T of a real gas are related by the

equation (P+a/V2) (V-b)= RT. Here a, b and R are constants. The dimensions constant a are a) ML2T-2 b) ML3T-2 c) ML4T -2 d) ML5T-2

13. In relation 'm

Tl

2

1n =

what are dimensions of m? a) M1L0T0 b) M1L-1T0 c) M-1L1T0 d) None 14. In the relation Sn = u + a/2(2n-1), what are the dimensions of Sn? a) M0L1T-1 b) M0L-1T1 c) M0L0T0 d) M1L1T1



15. Which of the following is dimensionally correct relation? a) F = 6π a v η b) F = 6π a/v η c) F = 6π av/η d) F= 6π η/av

16. The MKS unit was first introduced by a) Fermi b) Bohr c) Newton d) Giorgi

17. The equation of state for real gases is [P + (a/v2)](V-b) = RT where P is pressure, V is

volume, T is temperature and a and b are constants. The dimension of a are a) M L-1T-3 b) L4 c) ML5T-2 d) ML-5

18. The dimensions of the quantities in one (or more) of the following pairs ate the same.

Identify the pairs, a) Torque and Work b) Angular Momentum and work c) Energy and Young’s modulus d) Light year and wavelength.

19. E, m, J and G represent energy, mass, angular momentum and gravitational constant

respectively. Then the dimensions of EJ2 /m5G2 are that of a) angle b) length c) mass d) time

20. Given That K= kinetic energy, V= velocity, T = time. If they are chosen as the fundamental

units, then what is the dimensional formula for the surface tension? a) KV2T2 b) KV-2T-2 c) K2V2T-2 d) K2V-2T-2

21. The dimensions of the quantity hC

e1 2

ο∈ are a) M0L0T-1A0 b) M-1L-3T4A2 c) ML3T-4A-2 d) M-1L-3T2A

22. Given that the displacement of a particle is given by x =A2 sin2Kt, where t denotes the time.

The unit of K is a) Hertz b) meter c) radian d) second

23. The unit of viscosity in the c.g.s. system is poise(P) that in SI is poiseuille (Pl). Which of

the following statements is correct? a) 10 P =1Pl b) 1 P =10 Pl c) 1 P =1Pl d) none 24. How are the numerical value (N) and unit (U) of a physical quantity related?

a) un ∝ b) un ∝

c) U

1n ∝

d) U

1n ∝

25. The dimensions formula for latent heat is a) M0L2T-2 b) MLT-2 c) ML2T-2 d) ML2T-1

26. Given that F = at-1 + bt2, where F denotes force and t time, then the dimensions of a and b



are respectively a) LT-2 and T-2 b) T and T-2 c) LT-1 and T-2 d) MLT-1 and MLT-4

27. A spherical body of mass m and radius r is allowed to fall in a medium of viscosity η.The time in which the velocity of the body increases from zero to 63% of the terminal velocity (v) is called the time constant (t) Dimensionally t can be represented by

a) πη6

mr2

b)

ηπ2g

mr6

c) rv6

m

πη d) None

28. The dimensional formula for radioactivity is a) T-1 b) ML2T-3 c) (ML)-3 d) (MT)-1

29. The unit of measurement for the “quantity of light” is a) candela b) watt per sq. m c) lumen second d) lumen

30. The dimensions of solar constant are a) MLT-2 b) ML0T-3 c) ML2T-2 d) M0L0T0

31. The velocity v (in cm/s) of a particle is given in terms of time t (in second) by the equation

ct

batv

++=

. The dimensional formulae of a, b ans c are A b c

a) L2 T LT2 b) LT2 LT L c) LT-2 L T d) L LT T2 32. 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

33. A unit less quantity a) Never has a nonzero dimension b) Always has a nonzero dimension c) May have a nonzero dimension d) Does not exist

34. The dimensions of [µ0ε0]

-1/2 are the same as that of a) time period b) wavelength c) frequency d) velocity

35. The product of energy and time is called action. The dimensional formula for action is

same as that for a) force × velocity b) impulse × distance c) lumen second d) lumen

36. The frequency of vibration f of a mass m suspended from a spring of free constant K is

given by a relation of the type



a) 2

1Y,

2

1X ==

b) 2

1Y,

2

1X =−=

c) 2

1Y,

2

1X −==

d) 2

1Y,

2

1X +=−=

37. Which of the following is the dimensional formula for capacitance x (potential)2 ? a) ML2T-1 b) ML2T-2 c) ML-2T-3 d) ML-1T-2 38. Kilogram meter per second are the units of a) force b) work c) momentum. d) power

39. Of the following quantities, which one has dimensions different from remaining three? a) Energy per unit volume b) Force per unit area c) Product of voltage and charge per unit volume d) Angular momentum per unit mass.

40. Given that

RT/aVebV

RTp −

−=

. The dimensional formula of a is same as that of a) V b) p c) T d) R

41. Which of the following have same dimensions?

I. Thermal capacity II. Entropy III. Boltzmann constant IV. Universal gas constant

a) I and II b) I and III c) I,II and III d) All of the four have same dimension

42. If force F, area A and density D are taken as the fundamental units then dimensions of

Young’s modulus will be a) F-1A-1D-1 b) FA-2D2 c) FA-1D0 d) FA-1D

43. The dimensions of resistance R in terms of M, L, T and A are a) M1L2T-3A-2 b) M1L2T-3A2 c) M1L2T3A-2 d) M-1L2T-3A-2

44. In view of their units and dimensions, which of the following is different from the other

three? a) Phase difference between two waves b) Mechanical equivalent of heat c) Loudness of sound d) Poison’s ratio

45. The measured mass and volume of a body are 20.00 g ad 5 cm3 respectively, with possible

errors 0.01 g and 0.1 cm3. The maximum error about the density is about. a) 0.2% b) 2% c) 5% d) 10%

46. An experiment measured quantities a, b, c and then X is calculated form3

2

c

abX =



If the percentage errors in a, b, c are ±1%, ±3% and ±2% respectively, the percentage error in X can be

a) ±13% b) ±7% c) ±4% d) ±1% 47. The percentage error in the volume of a cube is 8%. The percentage error in the side of the

cube should have been a) 20 % b) 2.7 % c) 4 % d) 6 %

48. The measured mass and volume of a body are 22.42 g and 4.7 cc, respectively. With

possible errors of 0.01 g and 0.1cc, the maximum error in the density approximately a) 0.2 % b) 2 % c) 5 % d) 10 %

49. A spherometer has a least count of 0.005 mm and the head scale is divided into a certain

number of equal divisions. The distance between consecutive threads on the spherometer screw is

a) 0.005 mm b) 1.0 mm c) 1.0 cm d) 0.0025 mm

50. In a certain experiment, the percentage errors in the measurement of mass and speed are

2% and 3%, respectively. What will be the percentage error in the estimate of kinetic energy obtained by measuring mass and speed?

a) 10 % b) 5 % c) 8 % d) 11 %

Motion in one direction 1. A particle moves along a straight line such that its displacement s at any time t is given by

s=t3-6t2 3t + 4 meters. The velocity when the acceleration is zero, is a) 3ms-1 b) -9 ms-1 c) 42 ms-1 d) -19 ms-1

2. A car accelerates from rest at a constant rate α for some time, after which it decelerates at a

constant rateβ, and comes to rest. If the total time elapses is t, the maximum velocity acquired by the car will be

a) t

αββ+α

b) t

β+ααβ

c) t

22

αββ−α

d) t

22

αββ+α

3. A person aiming to reach the exactly opposite point on the bank of a stream is swimming

with the speed of 0.5 m/s at an angle of 120° with the direction of flow of water. The speed of water in the stream is a) 1ms-1 b) 0.5 ms-1 c) 0.25 ms-1 d) 0.433 ms-1

4. If the force on a rocket moving with a velocity of 300 m/s is 210 N, them the rate of

combustion of the fuel is a) 0.5 kg/s b) 1.4 kg/s c) 0.07 kg/s d) 10.7 kg/s

5. In an elevator, moving vertically up with an acceleration g, the force exerted on the floor by a passenger of mass M is



a) mg b) 1/2 Mg c) 0 d) 2 Mg 6. A shell of mass m moving with velocity v breaks into 2 pieces. The part having mass m

/4remains stationary. The velocity of the other shell will be. a) v b) 2v c) ¾ v d) 4/3 v

7. The displacement of a particle is given by y = a + bt + ct2-dt4. The initial velocity and

acceleration are respectively a) b, -4d b) –b, 2c c) b, 2c d) 2c, -4d

8. Two trains, each 50 m long are traveling in opposite direction with velocity 10 m/s and 15

m/s. The time of crossing is a) 2 s b) 10/3 s c) 2s d) 10.7 kg/s

9. The displacement-time graphs of two particles A and B are straight lines making angles of

respectively 30° and 60° with the time-axis. If the velocity of A is vA and that of B is vB, the value of vA/ vB is a) 1/2 b) 1/√3 c) √3 d) 1/3

10. The magnitude of the centripetal force acting on a body of mass m executing uniform

motion in a circle of radius r with speed v is a) mvr b) mv2/r c) v/r2m d) v/rm

11. If the period of oscillation of mass M suspended from a spring is 2 sec, then the period of

mass 4 M will be a) 1 sec b) 2 sec c) 3 sec d) 4 sec

12. If the metal bob of a simples pendulum is replaced by a wooden bob, then its time period will a) Increases b) decreases c) remain in same d) first (a) then (b)

13. The speed of a boat is 5 km/h is still water. It crosses a river of width 1.0 km along the

shortest possible path in 15 minutes. The velocity of river is (in km/h) a) 1 b) 5 c) 4 d) 3

14. Two particles A and B are connected by a rigid rod AB. The rod slides perpendicular rails

as shown in the figure. The velocity of A to the left is 10 m/s. What is the velocity of B when angle α = 60° a) 10 m/s b) 5.8 m/s c) 17.3 m/s d) 9.8 m/s

15. A car moving with a speed of 40 km/h can be stopped by applying brakes after at least 2 m.

If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance? a) 4m b) 2 m c) 6 m d) 8 m

16. A mass 1 kg is suspended by a thread. It is

I. lifted up with an acceleration 4.9m/s2



II. lowered with an acceleration 4.9m/s2 The ratio of the tensions

a) 3:1 b) 2:1 c) 1:3 d) 1:2 17. Which of the following is scalar quantity?

a) Displacement b) Electric field c) Acceleration d) Work 18. A stone thrown upwards and it rises to a height of 100 m. The relative velocity of the stone

w.r.t. the earth will be maximum at: a) The ground b) a height of 5 m c) height of 50 m d) the highest point

19. A car travels first half distance between two places with a speed of 30 km/h and remaining

half with a speed of 50 km/h. The average speed of the car is a) 37.5 km/h b) 10 km/h c) 42 km/h d) 40 km/h

20. A river is flowing from east to west at a speed of 5 m/min. A man in south bank of river,

capable of swimming 10 m/min in still water, wants to swim across the rive in shortest time he should swim a) due north b) due north-east c) due north east with double the speed of river

21. A train of 150m length is going towards north direction at a speed of 5 ms-1 towards south

direction parallel to the railway track. The time taken by the parrot to cross the train is equal to a) 12s b) 8s c) 15s d) 10s

22. A stone released with zero velocity from the top of the tower reaches the ground in 4s. The

height of the tower is about a) 20 m b) 40 m c) 80 m d) 160 m

23. The initial velocity of a particle moving along a straight line is 10 m/s and its retardation is

2 ms-2. The distance moved by the particle in the fifth second of its motion is a) 1 m b) 19 m c) 50 m d) 75 m

24. A shell is fired from cannon with a velocity v (m/s) at an angle θ with the horizontal

direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon and the speed of the other piece immediately after explosion is

a) 3ν cosθ b) 2ν cosθ c) θνcos

2

3

d) θνcos

2

3

25. A boat which has speed of 5 km/h in still water crosses

a) 1 b) 3 c) 4 d) √41

26. 15 minutes. The velocity of the river in shortest time. He swims across the river in shortest time. He should swim in a direction



a) due north b) 30o east of north c) 60o west of north d) 60o east of north

27. The angle between the two vectors A and B is θ. The value of the triple products

A.B × B.A a) A2B b) zero c) A2b sinθ d) A2b cosθ

28. A particle is moving eastwards with velocity of 5 m/s. In 10 seconds the velocity changes

to 5 m/s northwards. The average acceleration in time is a) zero b) 1/√2 m/ s2 towards north-west c) 1/3 m/ s2 towards north-west d) 1/√2 m/ s2 towards north-east

29. A body sliding on a smooth inclined plane requires 4 sec to reach the bottom, starting from

rest the top. How much time does it take to cover one-fourth the distance staring form rest the top. a) 1 second b) 2 second c) 4 second d) 16 second

30. Two bodies of different masses ma and mb are dropped from two different heights, viz, a

and b. The ration of time taken by the two to drop through these distances is

a) a:b b) a

b:

m

m

b

a

c) √(a) :√(b) d) a2 : b2

31. A stone released with zero velocity from the top of tower reaches the ground at 4 sec. The

height of the tower about a) 20 m b) 40 m c) 80 m d) 160 m

32. An object is projected upwards with a velocity of 100 m/s. It will strike the ground in

approximately a) 10 sec b) 20 second c) 15 second d) 5 second

33. The variation of velocity of a particle moving along a straight line is illustrated in following

figure. The distance traversed by the particle in 4 sec is a) 60 m b) 25 m c) 55 m d) 30 m

34. The velocity versus time curve of a moving particle is as given below. The maximum

acceleration is a) 1 m sec-2 b) 2 m sec-2 c) 3 m sec-2 d) 4 m sec-2

35. From the graph of question no. 34, the retardation is

a) 1 m sec-2 b) -2 m sec-2 c) 3 m sec-2 d) 4 m sec-2 36. The velocity versus time graph of a body in a straight line is as follows. Then, the

displacement of the body in 5 sec is a) 3 m b) 5 m c) 4 m d) 2 m



37. The distance covered by the body is 5 second in question no. 36 is a) 3 m b) 5 m c) 4 m d) 2 m

38. A body of mass 2 kg has an initial velocity of 3 m/s along OE and it is subjected to a force

of 4 Newton in OF direction perpendicular of OE. The distance of body from O after 4 sec will be a) 12 m b) 28 m c) 20 m d) 48 m

39. The initial velocity of a particle moving along a straight line is 10 m/s sec and its

retardation is 2m/sec2. The distance moved by the particle in the fifth second of its motion is a) 1 m b) 19 m c) 50 m d) 75 m

40. The initial velocity of a particle is u (at t=0) and the acceleration f is given by the particle

no. 40, the distance traveled by the particle between 1 sec, is approximately

a) v =u + at2 b) 2at

uv2

+= c) v =u + at d) v =u

41. In the velocity- time graph of question no. 40, the distance traveled by the particle between

1 sec is approximately a) 50 m b) 40 m c) 30 m d) 20 m

42. From the graph given below, the acceleration of a particle at t = 9 sec, is

a) zero b) -2m/sec2 c) -5 m/sec2 d) 5 m/sec2 43. Three different ball of masses m1, m2 and m3 are allowed to slide from rest on three

frictionless paths OA, OB and OC respectively from O (see the diagram). The height of O above the ground is h. The respective speeds S1, S2 and S3 of m1, m2 and m3 at the bottom A, B and C are

a) 3

3

2

2

1

1

m

S

m

S

m

S==

b) S1=S2=S3 c) S2<S1< S3 d) S1<S2<S3 44. The coordinated of a moving particles at any time t are given by x=ct2 and y= bt2 . The

speed of the particle at the time t is given by a) 2t (c+b) b) √(c2+b2) c) 2t √(c2+b2) d) 2t√(c2-b2)

45. A steam boat goes across a lake and comes back (i) on a quiet day when the water is still and (ii) on a rough day when there is a uniform current so as to help the journey onwards and to impede the journey back. If the speed of the launch on both days was, same, the time required for complete journey on the rough day, as compared to the quiet day will be a) less b) same c) more d) none of these

46. The numerical ratio of displacement to distance is a) always less than one b) always equal to one c) always more than one d) equal to or less than one

47. The numerical ratio of average velocity to average speed is



a) always less than one b) always equal to one c) always more than one d) equal to or less than one

48. A person travels along the straight road for the first half length with a velocity v1, and the second half length, with a velocity v2. Then the mean velocity v is given by

a) 2

vvv 21 +=

b) 21 v1

v1

v2 +=

c) 21vvv = d) 2

vvv 21=

49. A car runs at constant speed on a circular track of radius 100 m taking 62.8 sec on each lap.

What is the average speed and average velocity on each complete lap? a) velocity 10 m/s, speed 10 m/s b) velocity zero, speed 10 m/s c) velocity zero, speed zero d) velocity 10 m/s, speed zero

50. A rocket is fired upward such that its engine takes 10 sec to explode fully. Its velocity –time graph is shown in figure.

The height reached by the rocket a) 1000 m b) 1000 x 100 m c) 1000 x 10 m d) 1000 x 50 m

51. On displacement- time graph, two straight lines make angles 30o and 60o with the time-axis. The ratio of the velocities represented by them is a) 1:2 b) 1:3 c) 2:1 d) 3:1

52. A car travels from A to B at a speed of 20 km/hr. The average speed of the car for the

whole journey is a) 24 km/hr b)25 km/hr c) 50 km/hr d) zero

53. A pebble is thrown vertically upwards from a bridge with an initial velocity of 4.9 m/sec. It

strikes water after 2 sec. The height of the bridge is a) 4.9 m b) 14.7 m c) 9.8 m d) 19.6 m

54. If x denotes displacement in time t and x= a cos t, then acceleration is

a) a cos t b) - a cos t c) a sin t d) - a sin t 55. An electron starting from rest has a velocity that increased linearly with time that is a= kt,

where k = (2 m/s)/s. The distance covered in the first 3 sec will be a) 9 m b) 16 m c) 27 m d) 36 m

56. A boy is throwing balls into the air. HE throws one whenever the previous one is at its highest point. How high do the balls rise if he throws once in 2 sec? a) 19.6 m b) 9.8 m c) 4.9 m d) 2.45 m

57. Two ball of the same mass are shot upwards one after another at an interval of 2 sec, along

the same vertical line with the same initial velocity of 39.2 m/s. They will collide at a height a) 78.4 m b) 44.1 m c) 73.5 m d) 58.8 m

58. A balloon is moving upwards with velocity 9.8m/s . It releases a stone which comes down



tot the ground in 11 sec. The height of the balloon from the ground at the moment when the stone was dropped is a) 592.9 m b) 490.2 m c) 485.1 m d)494.9 m

59. A stone is dropped into a well in which the level of water is h below the top of the well. If

v is the velocity of sound, The time T after which the splash is heard is given by

a) v

h2T =

b) v

h

g

h2T +=

c) g

h

v

h2T +=

d) v

h2

g2

hT +=

60. Tripling the speed of a motor car multiplies the distance needed for stopping is by

a) 3 b) 6 c) 9 d) some other number 61. A motor-car covers 1/3 part of total distance with velocity v1= 10 km/h and second 1/3 part

with velocity v2 = 20 km/h and rest 1/3 part with velocity v3 = 60 km/h. what is the average speed of the car? a) 45 km/h b) 22.5 km/h c) 18 km/h d) 6 km/h

62. A body is allowed to fall from the top of a tower and covers half of its height in the last

second of its journey. The total height of the tower is nearly a) 27 m b) 37 m c) 57 m d) 77 m

63. A body covers 200 cm in the first 2 sec and 220 cm in the next 4 sec. What is the velocity

of the body at the end of 7th second? a) 40 cm/sec b) 20 cm/sec c) 10 cm/sec d) 5 cm/sec

64. A balloon is going upwards with a velocity 12 m/s. IT releases a packer when it is at a

height of 65 m from the ground. How much rime the packet will take to reach the ground if g= 10m/s2 a) 5 sec b) 6 sec c) 7 sec d) 8 sec

65. A stone is projected upwards from the top of a building with some initial speed and reaches

the ground in t1 sec. Now, it is allowed to fall with the same initial speed down wards and reaches the ground is t2 sec. In how much time will it reach the ground if allowed to fall freely under gravity from the same place?

a) t1 + t2 sec b) sec

2

tt 21 − c)

sec2

tt 21 + d) √(t1t2)

66. A elevator in which a man is standing moving upwards with a speed of 10 m/s. If the man

drops a coin from a height of 2.45 meter, it reaches the floor of the elevator after a time.( suppose g= 9.8 m/s2) a) √2 b) 1/√2 c) 2 d) ½ sec

67. There is a hemispherical bowl of radius R. A block of mass m slides along the surface of

the bowl from the rim of the bowl to the bottom as shown in the figure. The velocity of the block at the bottom will be



a) √Rg b) √2Rg c) 2√πRg d) √πRg

68. A body is released from a great height and falls freely towards the earth. Another body is released from the same height exactly one second later. The separation between the two bodies, two seconds after the release of the second body. a) 4.9 m b) 9.8 m c) 19.6 m d) 24.5 m

69. A body is thrown vertically upwards in air, when air resistance is taken into consideration

let the time of ascent be t1 and time of descent be t2, then a) t1 = t2 b) t1 < t2 c) t1> t2 d) t1> =< t2

70. Two cars A and B are traveling in the same directions with the velocities v1 and v2 (v1>v2).

When the car A is at a distance D behind the car B the driver of the car A applies the brakes producing a uniform retardation a. There will be mo collision when

a) a2

)vv(d

221 −<

b) a2

vvd

2

2

2

1 −<

c) a2

)vv(d

221 −>

d) a2

vvd

2

2

2

1 −>

71. A body is released from the top of a tower of height h meter. It takes T second to rach the

ground. Where is the ball at the time 2

T

second?

a) At 2h

meter from the ground b) At 4

h

meter from the ground

c) At 4

h3

meter from the ground d) Depends upon the mass and volume of the ball

72. A point moves with uniform acceleration and v1, v2,, v3denotes the average velocities in

three successive intervals of time t1, t2 ,t3 Which of the following relations is correct? a) v1–v2 :v2 -v3 = t1 -t2: t2+t3 b) v1–v2 :v2 -v3 = t1 + t2: t2 + t3 c) v1–v2 :v2 -v3 = t1 -t2: t1 - t3 d) v1–v2 :v2 -v3 = t1 -t2: t2 - t3

73. A student plotted a graph between time and velocity of a moving object. He plots time on X-axis and velocity on Y-axis. If the velocity-time graph be represented by y= mx + c ,where m ≠ 0, the object is moving with a) constant velocity b) constant speed c) constant kinetic energy d) variable velocity

74. The displacement versus time graph for body moving in a straight line is as follow Which of the following regions represents motion, when no force is acting on the body a) ab b) bc c) cd d) de

75. When two bodies move uniformly toward each other, the distance then decreased by 6 m/s.

If both bodies move in the same direction with same speed (as above) the distance between



them increases by 4 m/s. Then speeds of the two bodies are a) 4 m/s and 2 m/s b) 5 m/s and 1 m/s c) 3 m/s and 3 m/s d) 7 m/s and 3 m/s

76. The displacement y (in meter) of the body varies with time t(in sec) as 2t16t

3

2y 2 ++=

How long does the body take to come to rest. a) 8 sec b) 10 sec c) 12 sec d) 16 sec

77. With what speed must a ball be thrown down for it to bounce 10 m higher than its original

level? Neglect any loss of energy in striking the ground. a) Data is in complete b) 14 m/s c) 20 m/s d) 5 m/s

78. Which one of the following equations represents the motion of a body with finite constant acceleration? In these equations y denotes the displacement of the body at time t and a, b and c are constants of motion

a) y = at b) y = at+ bt2 c) y = at+ bt2+ct3 d) bt

t

ay +=

79. A 120 m long train is moving west at a speed of 10 m/s. A small bird flying east at a speed

of 5m/s crosses the train. What is the time taken by bird to cross the train? a) 4 sec b) 8 sec c) 12 sec d) 24 sec

80. The velocity-time curve of a body is shown in the figure. The distance covered by the body in 4 sec is a) 5 m b) 9 m c) 13 m d) 22 m

81. The relation between time t and distance x is xxt 2 β+α= where α and β are constants. The retardation is a) 2 αν3 b) 2 βν3 c) 2 αβν3 d) 2 β2ν3 (ν=velocity)

82. A body released from the top of a tower falls through half the height of the tower in 2 sec. It will reach the ground after nearly a) 4 sec b) 3.48 sec c) 2.83 sec d) 3.26 sec

83. A boy drops a ball from the top of a building. It will clear a window 2 m height at a distance 10 m below the top in nearly a) 1.3 sec b) 1 sec c) 0.13 sec d) 0.6 sec

84. The graph between the displacement x and time t for a particle moving in a straight line is

shown in the diagram. During the interval OA, AB, BC and CD the acceleration of the particle is

OA AB BC CD a) + 0 + + b) - 0 + 0 c) + 0 - + d) - 0 - 0



85. A smooth inclined plane is inclined at an angle θ with the horizontal. A body starts from rest and slides down the inclined surface. Then, the time taken by it to reach the bottom is

a) g

h2

b) g

l2

c) g

h2

sin

1

θ d) g

hsinθ

86. A rocket is fired vertically upward and moves with net vertical acceleration of 20 m/s2.

After 1 minute the fuel exhausted. The time taken by tit to reach the highest point after the fuel is exhausted will be nearly

a) 4 minute b) 2 minute c) 1 minute d) 0.5 minute 87. A body moving with a uniform acceleration has velocities of 30 m/s and 40 m/s when

passing through point P and Q in its path. What is the velocity midway between P and Q?

a) 34.36 m/sec b) 35 m/sec c) 38.72 m/sec d) 35.36 m/sec

88. Drops of water fall from the roof of a building 9 m high at regular intervals of time, the first drop reaching the ground at the same instant fourth drop starts its fall. What are the distance of the second and third drop from the roof?

a) 6 m and 2 m b) 6 m and 3 m c) 4 m and 1 m d) 4 m and 2 m 89. A particle slides from rest from the top most point of a vertical circle of radius r along a

smooth chord making an angleθ with the vertical. The time of descent is a) least for θ = 0 b) maximum for θ = 0 c) least for θ = 45o d) independent of θ

90. The adjoining four figures show some velocity (v) versus time(t) curves. But only some

of these can be realized in practice. These are a) 1, 2, 4 only b) 1, 2, 3 only c) 2, 4 only d) All of these

91. The velocity time-graph of a linear motion is shown in the following figure. The

distance from the origin after 8 second is

a) 18 meter b) 16 meter c) 8 meter d) 6 meter 92. Three persons are initially at the three corners of an equilateral triangle whose side is

equal to d. Each persons now move with a uniform speed V in such a way the first moves directly towards the second, the second directly towards to the third, the third towards the first.

a) 6 m and 2 m b) 6 m and 3 m c) 4 m and 1 m d) 4 m and 2 m 93. A ball is dropped from the height of 20 m and rebounds with a velocity which is 3/4th of

the velocity with which it hits the ground. What is the time interval between the first and second bounces?

a) ondsec

V

d

b) c) ondsec

V3

d2

d) ondsec

V3

d



94. If the displacement covered by a particle zero, then what can we say about its

displacement? a) It must be zero b) It can’t be zero c) It is negative d) It may or may not be zero

95. A car prototype is moved along a straight line by a machine delivering constant power.

The distance moved by the prototype proportional to a) t1/2 b) t3/2 c) t2 d) t3/4

96. Which of the following can be zero when the particle is in motion for some time? a) Displacement b) distance covered c) speed d) None of these

97. A boy in a moving train tosses a coin upwards. If the coin falls behind him, the train

must be moving a) with an acceleration b) with a uniform speed c) with a deceleration d) none of these

98. A steam boat goes across a lake and comes bake (i) on a quiet day when the water is still and (ii) on a rough day when there is a uniform current as to help the journey on ward and to empede the journey back . If the speed of the launch, on both days was same, the time required for the complete journey on the rough day as compared to on the quiet day will be.

a) less b) same c) more d) can’t say 99. A particle moves along the X-axis in such a way that its coordinate (x) varies with time

(t) according to the relation a) -5 m/s b) -3 m/s c) 3 m/s d) 6 m/s

100. The slope of a velocity –time graph fro motion with uniform velocity is equal to

a) initial velocity b) final velocity c) zero d) none of these 101. A box containing food an aeroplane moving horizontally at a height of 1,600 ft. with a

velocity of 400ft/s. The box will move horizontally while falling just before striking against he earth by

a) 400 ft b) 4000 ft c) 6,400 ft d) none of these 102. The velocity –time graph of robber’s car and a chasing police are shown in the

following fig. Police car crosses the robbers car a) 10 sec after it starts b) 15 sec after it starts c) 20 sec after it starts d) Never

103. Following fig. shows the velocity-time graph of a body moving in a straight line. The

average speed of the body over 25 sec is a) zero b) 2/3 m/s c) ½ m/s d) 4 m/s

104. A heavy boulder is projected vertically upwards. Taking into account the air resistance,

the ratio of the time of ascent to that of descent



a) is equal to one b) is greater than one c) is less than one d) depends on the size of body

105. Choose the correct statement from the following:

a) The magnitude of the velocity of a particle is b) The magnitude of the average velocity in an interval is equal to its average

speed in that interval c) It is possible to have a situation in which the speed of a particle is always zero

but the average speed is not zero d) It is possible to have a situation in which the speed of a particle is never zero but

the average speed in an interval is zero

106. Two objects moving on the same horizontal square plane (*see fig). Their velocity component along one edge of the square plane are 10√3 m/s and 20 m/s. Their velocity components along a perpendicular edges are 30 m/s and 20 m/s. the angle between the directions of their motion is

a) 15o b) 30o c) 45o d) 60o

107. A particle moves along a straight line path. After some time it comes to rest. The

motion is with an acceleration in a direction different from the initial velocity. The path of the particle is

a) positive through out motion b) negative through out motion c) first positive then negative d) first negative then positive

108. A particle moves in a plane with a constant acceleration in a direction different from the initial velocity. The path of the particle is

a) straight line b) parabola c) elsipse d) arc of a circle 109. The following figure shows the position of a particle on X-axis as a function of time

a) The particle comes to rest position 6 times b) The maximum speed is at t= 6s c) The velocity remains positive through out the motion d) The average velocity for the total period shown in figure is negative

110. A body starting from rest moves along a straight line with constant acceleration. Identify which of the following components of the fig. shows the variation of the speed (v) with distance (d)

a) fig b) fig c) fig d) fig 111. A ball is projected vertically up wards. Resistance due to air is ignored, then which of

the following graphs represent the velocity-time f=graph of the ball during its flights? a) fig b) fig c) fig d) fig

112. Two masses M and 2m are thrown vertically upwards . mass m is thrown with an initial

velocity twice that of the their . mass m will reach a height a) 1.4 times that of the other b) same as that of the other c) 4 times that of the other d) 8times that of the other



113. A car accelerates from rest at a constant rate a for sometime after which it decelerates

at a constant rate b to come to rest. If the total time of the travel is then the maximum velocity reached in this interval is

a) t

)ba(

b

+a

b) t

)ba(

b

−a

c) )ba(

t 2

+a

d) )ba(

bt 2

+

114. Two bodies are projected simultaneously from the same point, in the same vertical plane, but one towards the east and other towards the west. The time (t) at which their velocities become perpendicular to each other is

a) g

uut 21=

b) g

uu2t 21=

c) g

uu2t 21=

d) g

uut 21=

115. which of the following is the correct conclusion from the adjoining displacement-time graph

a) The particle starts with a certain velocity, but the motion is retarted and finally the particle stops

b) The velocity of the particle is constant throughout c) The acceleration of the particle is constant throughout d) The particle starts with a constant velocity, but the motion is accelerated

116. Four athletes are standing at the corners A, B, C and D of a square field with side l. They simultaneously start running, such that A runs towards B,B runs towards C, C runs towards D and D runs towards A, each with velocity v. they will meet at O, after a time

a) v21

b) v

l2

c) v2

1

d) v

1

117. The acceleration α of a particle starting from rest varies with time t according to the

relation α = kt + c Where c and k are constants. The velocity v of the body after time t will be.

a) kt2 + ct b) 21

(kt2 + ct) c) 21

kt2 + ct d) kt2 + 2

1

ct 118. The following figures shows two displacement-time graphs for particles A and B. Their

relative velocity. a) is zero b) is non-zero but constant c) continuously decrease d) continuously increases

119. The velocity-time graph of a particular body is shown in the figure. For the intervals AB and BC, the ratio of the distance covered is

a) 3:1 b) 1: 3 c) √3:1 d) √3:2

120. A simple pendulum hangs from the roof of a moving train. The string is inclined towards the rear of the train. What is the nature of motion of the train?



a) Accelerated b) Uniform c) Retarted d) None of these 121. A particle is moving in a straight line initial velocity u and uniform acceleration f. If

the sum of the distance traveled in the tth and (t +1)th seconds is 100 cm, then its velocity after t seconds, in cm/s, is

a) 20 b) 30 c) 50 d) 80 122. A man crosses a 320 m wide river perpendicular to the current in 4 minutes. If in still

water he can swim with a speed 5/3 times that of the current, then the speed of current , in m/minute, is

a) 30 b) 40 c) 50 d) 80 123. A particle is thrown vertically upwards. The graph between its speed V and time t is

given (neglecting the air resistance) the following figure: a) fig b) fig c) fig d) fig

124. For the velocity-time graph shown in figure below the distance covered by the body in

last 2 second of its motion is what fraction of the total distance covered by it in all the seven seconds?

a) 21

b) 4

1

c) 3

1

d) 3

2

125. A particle moves along the x-axis such that its coordinate (x) varies with the time t according to the expression x=2-5t +6t2, where x is in meters and t is in seconds. The initial velocity of the particle is

a) -5 m/sec b) -3 m/sec c) 6 m/sec d) 2 m/sec 126. A body moving along a straight line with a uniform acceleration covers 20 cm in one

second and 30 cm is the very next one second. The body has an acceleration of a) 30 cm/s2 b) 20 cm/s2 c) 10 cm/s2 d) 5 cm/s2

Motion in two and three dimensions

1. A body is projected at such an angle that the horizontal range is three times the greater height. The angle of projection is

a) 25o8′ b) 53o8′ c) 42o8′ d) 33o7′ 2. If a person with a spring balance and a body hanging from it goes up and up in an

aeroplane, then the reading of the weight of the body as indicated by the spring balance will

a) go on increase b) go on increase c) first increase then increase d) Remain the same 3. Two equal masses m1 and moving along the same straight line with velocity +3 m/s and

-5 m/s respectively and collide elastically. Their velocities after the collision will be respectively.



a) + 4 m/s for both b) - 4 m/s and + 4 m/s c) - 3 m/s and + 4 m/s d) -5 m/s and +3 m/s 4. A ball of mass 0.25 kg attached to the end of string of length 1.96 m is moving in a

horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the particle can be moved?

a) 5 m/s b) 3.92 m/s c) 3 m/s d) 14 m/s 5. A weightless ladder 20 ft long rests against a frictionless wall at an angle of 60o from

the horizontal. A 150 pound man is 4 ft from the top of the ladder. A horizontal force is needed to keep it from slipping. Choose the correct magnitude from the following.

a) 10.0 lb b12.0 lb c) 18.0 lb d) 17.5 lb 6. A rubber ball is dropping from a height of 5 m on a planet where the acceleration due to

gravity is not known. On bouncing it rises 1.8m The ball losses its velocity on bouncing by a factor of

a) 5

2

b) 25

9

c) 5

3

d) 25

16

7. A mass m is vertically suspended from a spring of negligible mass; the system

oscillates with a frequency n. What will be the frequency of the system, if a mass 4m is suspended from the same spring?

a) 2

n

b) 2n c) 4n

d) 4n 8. A bullet is fired from a gun. The force on the bullet is given by F=600 – 2 x 105t,

where F is in Newton and t is in second. The force of the bullet becomes zero as soon s it leaves the barrel. What is the average impulse imparted to the bullet?

a) 0.9 N/s b) Zero c) 9 N/s d) 1.8 N/s 9. Two simple pendulum of the length 0.5 m and 20 m respectively are given small linear

displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed oscillation

a) 5 b) 3 c) 1 d) 2 10. what is the maximum number of rectangular components into which a vector can be

split in space? a) two b) three c) four d) more than four 11. What is the maximum number of a rectangular component into which a vector can be

split in its own plane? a) two b) three c) four d) more than four 12. The minimum number of vector of unequal magnitude required to produce a zero

resultant is a) two b) three c) four d) more than four



13. QPQP −=+

. What is the angle between P and Q? a) 0 b) π/4 c) π/2 d) π

14. The angle between P and Q is θ. QPR += makes angle θ/2 with P . Which of the following is true?

a) P = 2 Q b) 2 P = Q c) PQ = 1 d) None of these

15. what should be the angle between P and Q if QPR == ? a) 0 b) π/3 c) 2π/3 d) π

16. P and Q are two vectors in a plane making angle 45o with each other. R is another vector perpendicular to their plane. Which of the following relation is possible?

a) P + Q = R b) P + R = Q c) P xQ = R d) P x R = Q 17. A mass of 1 kg is attached to the middle of a rope, which is being pulled from the ends

in the opposite directions. Taking g = 10 m/s2 , what is the minimum pull required to completely straighten the rope?

a) 5 N b) 10 N c) 20 N d) Much larger than 20N 18. The resultant of the two vectors having magnitude 2 and 3 is 1. What is their cross

product? a) 6 b) 2 c) 1 d) 0

19. Which of the flowing vectors is perpendicular to kji ++ ?

a) kji −− b) kji −+ c) kji +− d) None of these 20. A car travels 8 km along east. Then 15 km along north and then 17 km towards south-

west. What will be its distance from the straight point? a) 8 km b) 10 km c) 24 km d) None of these 21. A car is going eastwards with a velocity of 8 ms-1. To the passenger in the car, a train

appears to be moving northwards with a velocity 15 ms-1. What is the actual velocity of the train?

a) 7m/s b) 17m/s c) 23m/s d) None of these 22. Rain is falling vertically downwards with a velocity of 3 km h-1. A man walks in the

rain with a velocity of 4 km h-1. The rain drops will fall on the man with a velocity of a) 1 km h-1 b) 3 km h-1 c) 4 km h-1 d) 5 km h-1 23. Two particles start from rest simultaneously and are equally accelerated. Throughout

the motion, the relative velocity of one w.r.t. other is a) zero b) Non-zero and directed parallel to acceleration



c) Non-zero and directed parallel to acceleration d) directed perpendicular to the acceleration 24. Two bodies are moving in opposite directions with velocity v. The relative velocity of

one w.r.t. other is a) zero b) v c) √2 v d) 2 v 25. Two cars C1 and C2 are moving on parallel roads in the same direction with velocity v.

The relative velocity of C1 w.r.t C2 is a) directed towards C2 b) directed towards C1 c) zero d) 2 v 26. to the passenger sitting in a train with a velocity v, the relative velocity of the train is a) v b) - v c) 2 v d) None of these 27. A train is moving eastwards with a velocity of ms-. On a parallel track another train

passes with a velocity ms- eastwards. To the passenger in the second train, the first train will appears to be moving with a velocity

a) 5 ms-1 westwards b) 5 ms-1 eastwards c) 20 ms-1 westwards d)20 ms-1 westwards 28. Tow cars are moving in the same direction with a speed of km/h. They are separated

from each other by 5 km. third car moving in the opposite direction meets the two car after an interval of minutes. What is the speed of the third car?

a) 30 km h-1 b) 35 km h-1 c) 40 km h-1 d) 45 km h-1 29. The projectile has maximum value of the time of flight when the angle of projection is a) 90o b) 60o c) 45o d) 30o 30. A projectile has the maximum range m. If the projectile is thrown up an inclined plane

of 30o with the same (magnitude) velocity, the distance covered by it almost the inclined plane will be

a) 250 m b) 500 m c) 750 m d) 1000m 31. The maximum horizontal range of projectile is 400 m. The maximum height attained by

it will be a) 100 m b) 200 m c) 400 m d) 800 m 32. A projectile is projected with kinetic energy K. if it has the maximum possible

horizontal range, then its kinetic energy at the highest point will be a) 0.25 K b) 0.5 K c) 0.75 K d) 1 K

33. A projectile is projected with a linear momentum p with angle θ with the horizontal. The change In momentum of the projectile on return to the ground will be

a) 2 p b) 2 p sinθ c) 2 p cosθ d) 2 p tanθ 34. Which of the following does not affect the maximum height attained by the projectile?



a) Magnitude of initial velocity b) Acceleration of the projectile c) Angle of projection d) Mass of the projectile 35. Which of the following is the largest, when the height attained by the projectile is the

greatest? a) range b)Time of flight c)Angle of projectile with the velocity d)None of these 36. What should be the angle of projection, so that the horizontal range is equal to the

maximum height? a) tan-11 b) tan-12 c) tan-13 d) tan-14 37. The maximum range of a projectile is R. How much is the maximum height? a) 2R b) R c) R/2 d) R/4 38. The instantaneous height y and the horizontal distance x covered by a particle are as y

= bt2, x= ct2 . what is the speed of the particle one second after firing? a) 2 (b+c) b) 2 (b-c) c) 2 (b 2+c2 )1/2 d) 2 (b 2-c2 )1/2 39. A projectile can have the same range R for the angles of projection. If t1 and t2 be the

times of flight in the two cases, then what is the product of the two times of flight? a) t1t2 ∝ R2 b) t1t2 ∝ R c) t1t2 ∝ 1/R d) t1t2 ∝ 1/R2 40. a projectile is fired with a velocity of 10ms-1 at an angle of 60o with the horizontal. Its

velocity at the highest point is a) Zero b) 5 ms-1 c) 8.66 ms-1 d) 10 ms-1 41. A bullet is fired horizontally with a velocity of 200 ms-1. if the acceleration due to

gravity is 10 ms-1, in first second it will fall through a height of a) 5 m b) 10 m c) 20 m d) 200 m 42. Tow projectiles are fired at different angles with the same magnitude of velocity such

that they have the same range. T what angles they might have been projected? a) 10o and 50o b) 25o and 65o c) 35o and 75o d) None of these 43. A ball thrown by one player reaches the other in seconds. The maximum height

attained by the ball above the point of projection will be about a) 2.5 m b) 5 m c) 7.5 m d) 1. m 44. A particle covers equal distance around a circular path, in equal intervals of time.

Which of the following quantity connected with the motion of the particle remains constant with time?

a) Displacement b) Velocity c) Speed d) Acceleration 45. The angular speed of the hour hand of the clock is a) 2 π rad s-1 b) 2 π rad min-1 c) 2 π rad day-1 d) None of these



46. A particle covers equal distances around a circular path in equal intervals of time. It has

uniform non-zero rate of change of a) linear displacement b) angular displacement c) linear velocity d) angular velocity 47. The angular acceleration of a particle moving along a circular path with uniform speed

is a) Uniform but non-zero b) zero c) variable d) such as cannot be predicted from the given information 48. A particle is moving along a circular path with uniform speed. What is the angle

between its instantaneous velocity and acceleration? a) 0o b) 45o c) 90o d) 180o 49. A car is going round a circle of radius R1 with constant speed. Another car is gong

round a circle of radius r2 with constant speed. If both of them take same time to complete the circles, the ration of their angular speeds will be

a) √(R1/R2) b) R1/R2 c) R12 /R2

2 d) 1 50. a particle is moving along a circular path of radius 5 m and with uniform speed 5 ms-1.

What will be the average acceleration when the particle completes half revolution. a) Zero b) 10 ms-1 c) 10 π ms-1 d) 10/π ms-1 51. A scooter is going round a circular road of radius 100 m at a speed of 10ms-1. what is

the angular speed f the scooter? a) 10 rad s-1 b) 1 rad s-1 c) 0.1 rad s-1 d) 0.01 rad s-1 52. A particle is moving along a circular path with uniform speed. Through what angle

does its angular velocity change when it completes half of the circular path? a) 0o b) 45o c) 180o d) 360o 53. A stone of mass kg is tied to the end of a string 1 m long. It is whirled in horizontal

circle. If the velocity of the stone at the top be 4 ms-1, what is the tension in the string? Take g = 10m/s.

a) 16 N b) 10 N c) 6 N d) 5 N 54. The radius of the circular path of particle is doubled but its frequency of rotation

remains unchanged. If the initial centripetal force be F, then the final value of the centripetal force will be

a) F b) 2 F c) 4 F d) F/2 55. A simple pendulum consists of light string from which a spherical bob of mass M is

suspended. The distance between the point of suspension and the center of the bob is l. The bob is given a tangential velocity v at the position of equilibrium (bottom). What can be maximum value of velocity v, so that the pendulum oscillates without the string



become slack? a) √(gl) b) √(3gl) c) √(4gl) d) √(5gl) 56. A stone is tied to a string of length l and is whirled in a vertical circle. What should be

the minimum velocity of the stone at the top of the circle, so that the string remains stretched?

a) √(gl) b) √(2gl) c) √(5gl) d) None of these 57. A mass M rests on the top of a hemisphere of radius R. what minimum horizontal

velocity should be imparted to the mass so that it leaves the hemisphere without sliding over it?

a) √(gR) √(gR) b) √(2gR) c) √(3gR) d) √(4gR) 58. A thin uniform rod of length l is hinged at the lower end to the level floor and stands

vertically. If the rod is allowed to fall, its upper end will strike the floor with a velocity a) √(gl) b) √(2gl) c) √(3gl) d) √(5gl) 59. A particle moving along the circular path with a speed v and its speed increases by “g”

in one second. If the radius of the circular path be r, then the net acceleration of the particle is

a) g

rv2

+ b)

2

2g

r

v2

+ c)

2

2g

r

v2

+ d) fig

60. The slope of the smooth banked horizontal road is p. If the radius of the corner be r, the

maximum velocity with which a car can negotiate the curve given by a) prg b) √ prg c) p/rg d) √( p/rg) 61. An automobile of mass M is crossing over convex upwards over-bridge with a speed v.

If the radius of the bridge is R, the thrust on the bridge at the highest point will be a) Mg b) M v2/R c) Mg + M v2/R d) Mg - M v2/R

62. The over-bridge of a canal is in the form of a circular arc of radius R. What is the greatest speed at which a motor cyclist can cross the bridge without leaving the ground?

a) √5gR b) √3gR c) √2gR d) √gR 63. A projectile has the maximum range of 500m. if the projectile is now thrown up and

inclined plane of 30o with the same seed the distance covered by it along inclined plane will be

a) 250 m b) 500m c) 750m d) 1000m 64. A scooter is going round a circular road of radius 100m at a speed of 10 m/s. What is

the angular speed of the scooter? a) 10 rad s-1 b) 1 rad s-1 c) 0.1 rad s-1 d) 0.01 rad s-1 65. Two particles are projected upwards with the same initial velocity vo in two different



angles of projection such that their horizontal ranges are same. The ratio of the heights of their highest points will be

a) tan2θ1 b) vo sinθ1 c) vo /sinθ1 d) vo2 sin2θ1

66. Which of the following does not affect the maximum height attained by the projectile? a) Magnitude of initial velocity b) Acceleration of the projectile c) Angle of projection d) Mass of the projectile 67. The over bridge of a canal is in the form of circular arc of radius R. What is the greatest

speed at which a motor cyclist cam cross the bridge without leaving the ground? a) √5gR b) √3gR c) √2gR d) √gR 68. A ball is thrown horizontally from the top of a tower. What happens to the horizontal

component of its velocity? a) Increases b) Decreases c) Remain unchanged d) First decreases and then increase 69. A projectile is thrown into the space so as to have the maximum possible horizontal

range equal to 400m. Taking the point of projection as the origin, the coordinates of the point where the velocity of the projectile is minimum , are:

a) 400, 100 b) 200, 100 c) 400, 200 d) 200, 200 70. Two projectiles are fired at the different angles with the same magnitude of velocity

such that they have the same range. At what angles they might have been projected? a) 10o and 50o b) 25o and 65o c) 35o and 75o d) None of these 71. Two cars C1 and C2 are going round concentric circles of radii R1 and R2. They

complete their circular paths in the same time. The ratio of speeds of C1 and C2 is a) 1 b) R1/R2 c) R2/R1 d) None of these 72. The speed of revolution of a particle going around a circle is doubled and its angular

speed is halved. What happens to the centripetal acceleration? a) Remained unchanged b) Halved c) Doubled d) Becomes four times. 73. A projectile has range R when it is fired at an angle of 15o with the horizontal. The

range remains the same if it is fired with the same velocity at an angle of a) 30o b) 45o c) 60o d) 75o 74. In a projectile motion, the velocity a) is always perpendicular to the acceleration b) is never perpendicular to the acceleration c) is perpendicular to the acceleration for one instant only d) is perpendicular to the acceleration for two instant only 75. A particle moves in a plane with uniform acceleration having direction different than



that of the instantaneous velocity. What is the nature of trajectory? a) Straight line b) Parabola c) Circle d) Ellipse 76. Two bullets are fired simultaneously, horizontally and with different speeds from the

same place. Which bullet will hit the ground first? a) The faster bullet b) The slower bullet c) Both will hit simultaneously d) Depends upon the masses 77. A ball is projected from the top of a tower at an angle 60o with the vertical. What

happens to the vertical component of its velocity? a) Increase continuously b) decrease continuously c) Remains unchanged d) First decreases and then increase 78. If a man wants to hit a target, he should aim his rifle in a direction a) higher than a target b) Lower than the target c) Of the target d) Any of above 79. the distance traveled by a body dropped from the top of a tower is proportional to a) mass of the body b) weight of the body c) Height of the body d) Square of time elapsed 80. A particle covers equal distance around a circular path, in equal intervals of time.

Which of the following quantity connected with the motion of the particle remains constant with time?

a) Displacement b) Velocity c) Speed d) Acceleration 81. A stone is dropped from the top of a building in a high wind. The wind exerts a steady

horizontal force on the stone as it falls. The path of the stone is a) a straight line b) a parabola c) a circle d) another complicated path 82. A particle covers equal distance around a circular path in equal intervals of time. It has

uniform non-zero rate of change of a) Linear displacement b) angular displacement c) Linear velocity d) angular velocity 83. A man has two spheres A and B. He is standing at the top of a tower. He gently drops

the sphere A vertically downwards and throws the sphere B horizontally at the same time. Which of the following is the correct statement?

a) Both the sphere reach the ground simultaneously b) Sphere A reaches the ground first c) Sphere B reaches the ground first d) The question is incomplete because the masses of the spheres are not given 84. Which of the following statements about the rotatory motion along a circular path is

true? a) Linear velocity is uniform when angular velocity is uniform



b) Magnitude of acceleration is constant c) Acceleration is directed along the tangent to the circular path d) None of the above statement is correct 85. A particle is acted upon by a force of constant magnitude which is always

perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that

a) velocity is constant b) acceleration is constant c) kinetic energy is variable d) it moves in a circular path 86. Two cars C1 and C2 are going round concentric circles of radii R1 and R2. They

complete their circular paths in the same time 2

1

speedofC

speedofC=

a) 1 b) R1/R2 c) R2/R1 d) None of these 87. A car moves on a circular road. It describes equal angles about the center in equal

intervals of time. Which of the following statements about the velocity of the car is true?

a) velocity is constant b) Magnitude of velocity is constant c) Both magnitude and direction of velocity change d) Velocity is directed towards the center of the circle 88. The position vector of a particle in a circular motion about the origin sweeps out equal

area in equal time. Its a) velocity remains constant b) speed remains constant c) acceleration remains constant d) tangential acceleration is altered. 89. If a cyclist doubles his speed while negotiation a curve, how does the tendency to

overturn vary? a) Remains unchanged b) Double c) Halved d) Quadrupled 90. A car sometimes overturns while taking a turn. When it overturns, it is a) The inner wheel which leaves the ground first b) The outer wheel which leaves the ground first c) Both the wheel leaves the ground simultaneously d) either wheel leaves the ground first 91. The outer rail of the curved railway track is raised above in the inner one. Why? a) To provide centripetal force b) To overcome the frictional force c) To balance the gravity d) For some reason other than those mentioned above 92. A cyclist taking turn heads inwards while a car passenger taking the same turn in

thrown outwards. The reason is a) that car is heavier than cycle b) that car has four wheels, while the cycle has only two



c) that cyclist has to counteract the centrifugal force, while the passenger is only thrown by it

d) the difference in the speed of two 93. The passenger in a car are thrown outwards when the car negotiates a curve, but the

cyclist bend inwards while negotiating the same curve. This happens because a) the car is heavier than cycle b) cyclist counteract the centrifugal force, which throw the passenger is the car outside c) fig d) fig 94. A wheel is subjected to uniform angular acceleration about its axis. Initially its angular

velocity is zero. In first 2s, it rotates through an angle θ1; in the next 2s it rotates through an additional angle θ2. the ratio θ2/θ1 is

a) 1 b) 2 c) 3 d) 5 95. Two identical masses are connected to a horizontal thin(mass less) rod as shown in the

fig. When their distance from the pivot is x, a torque will produce an angular acceleration α1. If the masses are now repositioned so that they ate 2x from the pivot, the same torque will produce an angular acceleration α2 given by

a) α2 = 4α1 b) α2 = α1 c) α2 = α1/2 d) α2 = α1/4 96. A stone tied to a string of length L is whirled in a vertical circle with the other end of

the string at the center. A at certain instant of time, the stone is at its lowest position, and has a speed u. The magnitude of the change in its velocity as it reaches a position where the string is horizontal is

a) gL2u2 − b) gL2 c) gLu2 − d) )gLu(2 2 − 97. If the angle a between two forces of equal magnitude is reduced to a-π/3, then the

magnitude of their resultant becomes √3 times of the earlier one. The angle a is a) π/2 b) fig c) fig d) fig 98. A motorcyclist of mass m is to negotiate a curve of radius r with speed v. The

minimum value of the coefficient of friction. So that this negotiation may take place safely, is

a) v2rg b) v2 /gr c) gr / v2 d) g / v2r 99. The width of a river is 25 meter and in it water is flowing with a velocity of 4m/min. A

boat man is standing of the bank of river. He wants to sail the boat at a point to the other bank which is directly opposite to him. He can sail the boat at 8m/min. Relative to water. HE will cross the river in

a) 3.6 minute b) 8 minute c) 3 minute d) 5 minute 100. Two concurrent equal forces of magnitude 5N each at an angle 120 degree. The

magnitude of their resultant is a) 5 N b) 10 N c) 15 N d) 5√3 N



LAWS OF MOTION, WORK POWER AND ENERGY

1. If the momentum f a body increases by 50% its kinetic energy will increase by a) 50% b) 100% c) 125% d) 150%

2. A body of mass 5 kg with a momentum of 10 kg m/s. A force of 0.2 N acts on it in the

direction of the motion of the body for 10 seconds. The increase in its kinetic energy is a) 2.8 Joule b) 3.2 Joule c) 3.8 Joule d) 4.4 Joule

3. A wheel is rotating at 900 r.p.m. a bout its axis. When the power is cut off it comes to

rest in 1 minute. The angular retardation in radian/ s2 is a) π/2 b) π/4 c) π/6 d) π/8

4. When the displacement is half of the amplitude, the ration of potential energy to the

total energy is a) 1/2 b) 1/4 c) 1 d) 1/8

5. Two bodies with kinetic energies in the ration of 4:1 are moving with equal linear

momentum. The ration of their masses is a) 1:2 b) 1:1 c) 4:1 d) 1:4

6. If the kinetic energy of a body becomes four times of its initial value, then new

momentum will a) Becomes twice of it’s initial value b) Becomes three times of it’s initial value c) Becomes four times of it’s initial value d) remain constant

7. If a simple pendulum oscillates with an amplitude of 50 mm and time period of 2 sec,

then its maximum velocity is a) 0.10 m/s b) 0.15 m/s c) 0.8 m/s d) 0.16 m/s

8. A bullet is fired from a rifle. If the rifle recoils freely, the kinetic energy of the rifle is

a) Less than that of the bullet b) more than that of the bullet c) same as that of the bullet d) Equal or less than that of the bullet

9. A force acts on a 3.0 gm particle in such a way that the position of the particle as a

function of time is given by x= 3t -4t2 + t3, where x is in meter and t is in second. The work done during the first 4 sec is

a) 450 mJ b) 530 mJ c) 490 mJ d) 570 mJ 10. A body is executing simple harmonic motion with an angular frequency 2 rad/sec. The

velocity of the body at 20 mm displacement, when the amplitude of motion is 60 mm, is

a) 90 mm/s b) 113 mm/s c) 118 mm/s d) 131 mm/s 11. If two balls each of mass 0.06 kg moving in opposite directions with speed 4 m/s



collide and rebound with the same speed, then the impulse imparted to each ball due to other is

a) 0.48 kg m/s b) 0.53 kg m/s c) 0.81 kg m/s d) 0.92 kg m/s 12. If a body of mass 3 kg is dropped from the top of a tower of height 25 meters, Then its

kinetic energy after 3 seconds will be a) 1296 J b) 1048 J c) 746 J d) 557 J

13. When a body moves with a constant speed along the circle

a) No acceleration is produced in the body b) its velocity remains constant c) No work is done on it. d) no force acts on the body

14. The kinetic energy of a body mass 2 kg and momentum of 2 Ns is

a) 1 J b) 2J c) 3 J d) 4 J 15. If an iron ball and a wooden ball of the same radius are released form a height h in

vacuum, the time taken by both of them in reach the ground will be a) unequal b) exactly equal c) roughly equal d) zero

16. When the amount of work done is 333 cal and change in internal energy is 167 cal, then

the heat supplied is a) 100 cal b) 300 cal c) 500 cal d) 700 cal

17. A force of 50 dyne is acted on a body of mass 5 gm which is at rest for an interval of 3

sec, the impulse is a) 0.16 × 10-3N-S b) 0.98 × 10-3N-S c) 1.5 × 10-3N-S d) 2.5 × 10-3N-S

18. A solid spherical ball rolls on a table. The ratio of the rotational kinetic energy to the

total kinetic energy is swimming is possible by the a) 7/10 b) 2/7 c) 1/2 d) 1/5

19. A body of mass 3 kg is under a force which causes a displacement init, given by S=t3/3

(in m). Find the work done by the force in 2 seconds. a) 1st law of motion b) 2nd law of motion c) 3rd law of motion d) Newton law of motion

20. A ball is dropped down wards, after 1 sec another ball is dropped down wards from the same point. What is the distance between them after 3 sec?

a) 2 J b) 3.8 J c) 5.2 J d) 2.6 J 21. A body of a mass 100 g is sliding from an inclined plane of inclination 30o. What is the

frictional force experienced if µ = 1.7? a) 25 m b) 20 m c) 50 m d) 9.8 m

22. Which of the following is not a perfectly inelastic collision?

a) 1.7 × √2 × 3

1

N b) 1.7 × √3 × 2

1

N c) 1.7 × √3N d) 1.7 × √2 × 5

1

N



23. Two spring of constants k1 and k2 have equal highest velocities, when executing SHM. Then, the ratio of their amplitudes (given their masses are equal )will be

a) Striking of two glass bulb b) A bullet striking a bag of sand c) An electron captured by a proton. d) A man jumping onto a moving car

24. Two bodies of different masses of 2 and 4 kg are moving with velocities 2 m/s and 10

m/s towards each other due to mutual gravitational attraction. What is the velocity of their center of mass?

a) 2

1

k

k

b)

2

1

2

1

k

k

c) 1

2

k

k

d)

2

1

1

2

k

k

25. A thin uniform circular ring is rolling down on an inclined plane of inclination 30o.

Without slipping. Its line at acceleration along the inclined plane will be a) 5 m/s b) 6 m/s c) 8 m/s d) zero

26. A stone releases with zero velocity from the top of the tower reaches the ground in 4

seconds. The height of the tower is about a) g / 2 b) g/ 3 c) g/ 4 d) 2g/ 3

27. A body sliding on a smooth inclined plane requires 4 second to reach the bottom, starting from rest at the top. How much time does it take to caver one- fourth the distance starting from the rest at the top?

a) 20 m b) 40 m c) 80 m d) 160 m 28. The escape velocity of a projectile from the earth is approximately

a) 1 sec b) 2 sec c) 4 sec d) 16 sec 29. A particle is moving with a constant speed along a straight line path. A force is not

required to a) 7 km /sec b) 112 km /sec c) 11.2 km /sec d) 1.1 km /sec

30. Passengers standing in a bus are thrown outwards when the bus is takes sudden turn.

This happens because of a) Increase its speed b) decrease in momentum c) change in direction d) keep it moving with uniform velocity

31. Ratio of force and acceleration measures a) outwards pull on them b) inertia c) change in momentum d) change in acceleration

32. A body of mass 2 kg moves with an acceleration 3 ms-2 . The change in momentum in

one second is a) Velocity b) impulse c) momentum d) None of these

33. The time rate of change of momentum is measured in

a) 3

2

kg m s-1 b) 2

3

kg m s-1 c) 6 kg m s-1 d) None of these



34. When we kick a stone, we get hurt. Due to which one of the following properties of the

stone it happens? a) kg m s-2 b) kg m s-1 c) kg m d) kg

35. Rocket works on the principle of conservation of

a) Inertia b) Velocity c) Reaction d) momentum 36. A gun of mass 1 kg fires a bullet of mass 1 g with a velocity of 1 ms-2. The recoil

velocity of the gun is a) Mass b) energy c) momentum d) None of these

37. Two boys are left in the middle of a frictionless floor. One boy of mass 20 kg gives a

blow lasting one millisecond and of 100 N to the other. He himself will move with a velocity of

a) 1 m s-1 b) 0.1 m s-1 c) 0.01 m s-1 d) 0.001 m s-1 38. A body of mass 1 kg moving on a smooth horizontal surface with velocity 5 ms-1 is to

be brought to rest in 5 s. How much force need to be applied? a) 1 m s-1 b) 0.5 m s-1 c) 0.01 m s-1 d) 0.005 m s-1

39. Two blocks of mass 4 kg and 6 kg are placed in contact with each other on a

frictionless horizontal surface (see figure). If we apply a push of 5 N on the heavier mass, the force on the lighter mass will be

a) 25 N b) 10 N c) 5 N d) 1 N 40. In the above question, the acceleration of the lighter mass will be

a) 5 N b) 4 N c) 2 N d) None of these 41. Three blocks masses 2 kg, 3 kg and 5 kg are connected to each other with light strings

and are then placed on a smooth frictionless surface (see fig). Let the system be pulled with a force F from the side of lighter mass so that it moves with an acceleration of 1 ms-2. T1 and T2 denote the tensions in the other strings.

a) 0.5 m s-2 b) 4

5

m s-2 c) 4

5

m s-2 d) None of these 42. In Q.42, the value of T1 is

a) 2 N b) 3 N c) 5 N d) 10 N 43. In Q.42, the value of T2 is

a) 1 N b) 5 N c) 8 N d) 10 N 44. An electric fan is placed on a stationary boat and air is blown with it on the sail of the

boat which of the following statement is correct a) 1 N b) 5 N c) 8 N d) 10 N



45. A cricket player catches a ball of mass 100 g and moving with a velocity of 25 ms-2. If the ball is caught in 0.1 s, the force of the bowl exerted on the hand of the player is

a) The boat will start moving with uniform speed b) The boat will be uniformly accelerated in the direction of the flow of the air c) The boat will be uniformly accelerated opposite to the direction of the flow of the air d) The boat will remain stationary as before 46. Two masses of 10 kg and 20 kg respectively are connected by a mass less spring as

shown in figure. A pull of 100 N acts on the mass of 20 kg. If the instantaneous acceleration of 10 kg mass be 2 ms-2, the acceleration of 20 kg mass is

a) 4 N b) 25 N c) 40 N d) 250 N 47. Two skaters of masses 40 kg and 60 kg respectively are 5 m apart facing each other. A

light rope is stretched between them and both of them pull on each other. Which of the following gives distances moved by each of them, when they meet? Distance moved by the skater of mass

a) 4 m s-2 b) 3 m s-2 c) 2 m s-2 d) 1 m s-2 48. A fireman wants to slide down a rope. The breaking load for the rope is ¾ th of the

weight of the man. With what minimum acceleration should the fireman slide down? Acceleration due to gravity is g.

40 kg 60 kg a) 1 m 4 m b) 2 m 3 m c) 3 m 2 m d) 1 m 1 m

49. Which of the following relations connected with the Newton’s second law of motion

remains valid for all velocities of the particle?

a) 4

1

g b) 2

1

g c) 4

3

g d) Zero 50. A machine-gun is mounted on a 2 quintal vehicle on a horizontal smooth road (Friction

negligible). The gun fires 10 bullets per second with a velocity of 500 ms-1. If the mass of each bullet be 10 g, what is the acceleration produced in the vehicle?

a) ( ) dt/vMdFρρ

= b) aMFρρ

= c) dt/vMdFρρ

= d) None of these

51. A body moving in a circular path with constant speed has a) 25 cm s-2 b) 25 m s-2 c) 50 cm s-2 d) 50 m s-2

52. Two satellites are going round the earth at a height of 200 km and 300 km respectively.

If the angular speed of both is same, the centripetal acceleration will be a) constant retardation b) Variable acceleration c) Radially outward acceleration d) constant acceleration

53. A of particle mass 2 kg is moving along a circular path of radius 1 m. If its angular



speed is 2π rad s-1, the centripetal force on it is a) same as both b) more for the first c) more for the second d) Dependent on the mass of the satellite

54. A body is in equilibrium under the action of three forces F1 + F2 and F3. Which of the

following statement is wrong? a) 4 π N b) 8 π N c) 4 π4 N d) 8 π2 N

55. A body is under the action of three forces F1, F2 and F3. In which case the body cannot

undergo angular acceleration?

a) 0FFF 321 =++ρρρ

b) 321 FFFρρρ

++ can be represented by the three sides of a triangle taken in order

c) 0FFF 321 =++ d) none of these 56. A mass M is suspended by a rope from a rigid support at P as shown in the figure.

Another rope is tied at the end Q, and it is pulled horizontally with a force F. If the rope AB makes angle θ With the vertical, then the tension in the string PQ is

a) 321 FandF,Fρρρ

are concurrent b) 0FFF 321 =++ρρρ

c) 21 FFρρ

+ is parallel to 3Fρ

, but the three forces are not concurrent

d) 1Fρ

and 2Fρ

act at the same point but, 3Fρ

acts at different point. 57. In Q. 57, the tension in the string PQ is

a) F sin θ b) F/ sin θ c) F cos θ d) F /cos θ 58. Two masses M1 and M2 are attached to a string, which passes over a frictionless fixed

pulley as shown in the Fig. Given that M1= 10kg, M2 = 6kg, and g =10m/s2. What is the acceleration of the masses?

a) Mg sin θ b) Mg/ sin θ c) Mg cos θ d) Mg /cos θ 59. In Q. 59 what is the tension in the string?

a) 40 m s-2 b) 20 m s-2 c) 5 m s-2 d) 2.5 m s-2 60. In Q. 59, if the pulley is attached to the roof of a vehicle accelerating at 10m/s2 in the

horizontal direction, what will be the acceleration of the masses, as seen by the absorber in the vehicle?

a) 600 N b) 100 N c) 60 N d) 75 N 61. In Q. 59, if the pulley is pulled upwards with acceleration equal to the acceleration due

to gravity, what will be the tension in the string? a) 10√2 m s-2 b) 10 m s-2 c) (2.5)√2 m s-2 d) 2.5 m s-2

62. In Q. 59, if the pulley falls freely, the tension in the string will be

a) 600 N b) 300 N c) 75 N d) 150 N



63. A monkey of mass 20 kg is holding a vertical rope. The rope can break when the mass

pf 25 kg is suspended from it. What is the maximum acceleration with which the monkey can climb up along the rope?

a) 75 N b) 37.5 N c) 10 N d) Zero 64. A rain drop of mass 0.1 g is falling with uniform speed of 10 cm s-1. What is the net

force acting on the drop? a) 25 m s-2 b) 5 m s-2 c) 7 m s-2 d) 10 m s-2

65. The velocity time-graph of a lift moving with downwards is a straight line inclined to

the time axis at 45o. If mass of the lift is M kg, what is the effective weight (in Newton) of the lift? (Take g = 10m/s2)

a) zero b) 2 × 10-3 N c) 10-3 N d) 10-2 N 66. In which of the following cases the net force is not zero?

a) 10 M b) 9 M c) M d) None of these

67. A man weighing 100 kg carries a load of 10 kg on his head. He jumps from a tower with the load on his head. He jumps from a tower with the load on his head. What will be the weight of the load as experienced by the man? (Take g = 10m/s2)

a) A kite skill fully held stationary in the sky b) A ball freely falling form a height c) An aeroplane rising upwards at an angle of 45° with the horizontal with a constant speed. d) A cork floating on the surface of water.

68. Three masses of 15 kg, 10 kg and 5 kg are suspended vertically as shown in the figure.

If the string attached to the string attached to the support breaks and the system falls freely, what will be the tension in the string between 10 kg and 5 kg masses? Take g=10m/s2. it is assumed that the string remains tight during the motion.

a) zero b) 10 kg c) Slightly more than 10 kg d) 110 kg 69. Two masse of 10 kg and 5 kg are suspended from a rigid support as shown in the

figure. The system is pulled down with a force of 150 N attached to the lower mass. The string attached the support breaks and system accelerates downwards.

a) 300 N b) 250 N c) 50 N d) Zero 70. If the down ward force continues to act, what is the acceleration of the system?

a) 20 m s-2 b) 10 m s-2 c) 5 m s-2 d) Zero 71. In .70, in case the force continues to act, what will be the tension in the string between

the two masses? a) 300 N b) 200 N c) 100 N d) Zero

72. In .70, if the force stops acting as soon as the string breaks, what is the acceleration of

the masses?



Directions. Q. 73: A smooth inclined plane has length 10 m and the angle of inclination is 30o. A body of mass 2 kg is released from rest at the top of the inclined plane.

a) 20 m s-2 b) 10 m s-2 c) 5 m s-2 d) Zero 73. What is the acceleration down the inclined plane?

a) 10 m s-2 b) 5√3 m s-2 c) 5 m s-2 d) 20/√3 m s-2 74. What is the time taken by it to reach the ground?

a) 20 s b) 10 s c) 4 s d) 2 s 75. What will be the velocity at the bottom of the inclined plane?

a) 20 m s-2 b) 10 m s-2 c) 5 m s-2 d) 1 m s-2 76. A body is released from the top of an inclined plane of inclinationθ. It reaches the

bottom with the velocity v. If the angle of inclination is doubled, what will be the velocity of the body on reaching the ground?

a) v b) 2 v c) (2 cosθ)1/2 v d) (2 sinθ)1/2 v 77. Two masses M1 and M2 are attached to the ends of a string which passes over a pulley

attached to the top of an inclined plane. The angle of inclination of the plane is θ. (Take g = 10m/s2)

If M 1 = 10 kg,M2 =5 kg , θ = 30o, what is the acceleration of mass M2? a) 10 m s-2 b) 5m s-2 c) (2/3)m s-2 d) zero

78. Two masses M1 and M2 are attached to the ends of a string which passes over the pulley

attached to the top of a double inclined plane. The angle of inclination of the plane are α and β. See the figure and answer the3 following questions. (Take g = 10m/s2) If M 1 = M2 and α = β, what is the acceleration of the system

a) Zero b) 2.5 m s-2 c) 5 m s-2 d) 10 m s-2

79. In Q.78, if M1 = M2 =5 kg and α = β = 30o, what is the tension in the string

a) 100 N b) 50 N c) 25 N d) 12.5 N 80. A book is lying on the table. What is the angle between the action of the book on the

book? a) 0o b) 45o c) 90o d) 180o

81. Which of the following statements is true for the jet plane flying horizontally at very

high speed? a) Gravity does not act on it b) Up thrust of the air balanced gravity c) Thrust due to the gas ejected balances gravity d) The flow of air around the plane causes lift balances the gravity

82. A sparrow flying in the air sits on stretched telegraph wire. If weight of the sparrow is

W, which of the following is true about the additional tension, T produced in the wires?



a) T = 0 b) T = W c) T < W d) T > W 83. A heavy iron bar of weight W is having its one end on the ground and the other on the

shoulder of a man. The rod makes an angle θ with the horizontal. What is the weight experienced by the man?

a) W cosθ b) W sinθ c) W d) W/2 84. Two weights W1, W2 and W3 are attached to the ends of a string passes over a

frictionless pulley. If the pulley is placed in a rocket accelerating upwards at 9.8 ms-2, what will be the tension in the string? Take g = 10m/s2.

a) ( )21

21

WW2

WW

+ b) ( )21

21

WW

WW

+ c) ( )21

21

WW

WW2

+ d) ( )21

21

WW

WW4

+ 85. A block is allowed to slide down on a n inclined plane of inclination of inclinationθ. If,

the inclination plane is lying on the floor of a lift which is falling down with a retardation a, what will be the acceleration of the block with which it will slide down?

a) (g + a) sinθ b) (g - a) sinθ c) g sinθ + a d) g sinθ - a 86. A rope of mass M is held vertically by fixing its upper end to a rigid support. What will

be the tension in the rope at a distance x from the rigid support? Given that the length of the rope is L, and acceleration due to gravity is g.

a) Mg b) ×−

L

xL

Mg c) ×

− xL

L

Mg d) ×

L

x

Mg 87. The Fig. shows a mass M attached to the middle of a string the two ends of which are

passing over two pulleys P1 and P2. To the ends of strings are attached masses M1 and M2. If the two pares of the string attached to m are inclined at an angle 2θ. If the instantaneous downward velocity of the masses M1 and M2 be v, what is the upward velocity of M?

a) v b) v/ 2 c) 2 v cosθ d) v /cosθ 88. There masses M1, M2 and M3 are attached with strings passing over a fixed and

frictionless pulley as shown in the Fig. What is the tension between M2 and M3 if they are moving downwards with acceleration a?

a) 123

123

MMM

MMM

++−+

b) 123

123

MMM

MMM

+++−

c) 123

123

MMM

MMM

++−−

d) ( )gMMM 32 −+

89. In Q. 88, what is the tension between M3 and M2?

a) g

MMM

MM2

123

32

++ b) g

MMM

MM2

123

21

++ c) g

MMM

MM2

123

31

++ d) g

MMM

MMM2

123

321

++ 90. A rocket is ejection 50 g of gasses per second at a speed of 500 ms-2? What is the

accelerating force on the rocket?



a) 1 N b) 5 N c) 25 N d) 125 N 91. Two blocks of masses M1 and M2 are connected to each other through a light spring as

shown in the Fig. If we push the mass M1 with force F and cause acceleration a1 in the mass M1, what will be acceleration in M2?

a) 2M

F

b) 21 MM

F

+ c) 1a d) 2

11

M

aMF−

92. A block slides a curved track which is the quadrant of a circle of radius 5 m, (see Fig).

what will be the speed of the block at the bottom. Assume the surface as frictionless and take g = 10m/s2

a) 50 m s-2 b) 10 m s-2 c) 5 m s-2 d) 1 m s-2 93. A block is suspended form a spring balance B, as shown is Fig. and it reads M1. A

beaker partially filled with water is placed on another spring balance B2 as shown is Fig. (b) which reads M2. If , we immerse the mass M1 in the water in the beaker as shown in Fig. What will be reading of balance B?

a) M1 b) 2

MM 21 + c) Less than M1 d) More than M1

94. A mass of 1 kg and volume 500 cm3 is suspended with a spring balance B1 in the water

container in a beaker. The beaker is placed on the pan of another spring balance B2. (see Fig) What will be reading of B1?

a) 1 kg b) 0.5 kg c) zero d) None of these 95. What happens to the coefficient of friction, when the normal reaction is halved?

a) Halved b) Doubled c) No change d) depends on the nature of the surface 96. A bock of mass M is placed on a rough horizontal surface, as shown in the Fig. A force

F = Mg acts on the block. If is inclined of the vertical at an angleθ. The coefficient of friction isµ. The block can be pushed along the surface only when

a) tan θ ≥ µ b) cot θ ≥ µ c) tan θ/2 ≥ µ d) cot θ/2 ≥ µ 97. A block of mass M is placed on a smooth inclined plane of inclination θ. The inclined

plane itself is placed in a cabin, which s accelerating upwards at the rate ‘a’ in a direction making angle θ with the horizontal. What will be the acceleration of the block down the inclined plane?

a) g sinθ - a b) g sinθ + a c) (g - a) sinθ d) (g + a ) sinθ 98. An object is placed on the surface of a smooth inclined place of inclinationθ. It takes

time‘t’ to reach the bottom. If the same object is allowed toe slide down a rough inclined plane of inclinationθ, it take time nt to reach the bottom, where n is a number greater than 1. The coefficient of friction µ is given by.



a)

−θ=µ2n

11tan

b)

−θ=µ2n

11cot

c)

2

1

2n

11tan

−θ=µ d)

2

1

2n

11cot

−θ=µ

99. A block of mass M is placed on a rough inclines plane of inclination θ kept on the floor

of the lift. The coefficient of friction between the block and inclined plane is µ. With what acceleration the block will slide down the inclined plane when the lift falls freely?

a) Zero b) g sinθ - µ g cosθ c) g sinθ + µ g cosθ d) None of these 100. A block of mass m is placed on another flock of mass M1 which itself is lying on a

horizontal surface. The coefficient of friction between the two blocks is µ1 and that between the blocks of mass M and horizontal surface is µ2. What maximum horizontal force can be applied to the lower block so that the two blocks move without separation?

a) (M +m)(µ2- µ1) g b) (M -m)(µ2- µ1) g c) (M -m)(µ2+µ1) g d) (M +m)(µ2+µ1) g 101. A heavy block of mass M is slowly place on a conveyer with a speed v. The coefficient

of friction between the block and the belt isµ. Through what distance will the block slide on the belt?

a) g

v

µ b) g

v 2

µ c) g2

v

µ d) g2

v 2

µ 102. Two blocks of mass masses M1 and M2 are connected with a string passing over a

pulley as shown in the Fig. The block M1 lies on a horizontal surface. The coefficient of friction between the block M and horizontal surface isµ. The system accelerates. What additional mass m should be placed on the block M1 so that the system does not accelerate?

a) µ− 12 MM

b) 1

2 MM

−µ c) µ

− 12

MM

d) ( )µ− 12 MM 103. Two blocks of mass masses M1 and M2 are connected with a string, which passes over a

smooth pulley. The mass M1 is paced on a rough inclined plane as shown in figure. The coefficient of friction between the block and the inclined plane is µ What should be the minimum mass M2, so that the block M1 slides upwards?

a) M2 = M1 (sinθ + µcosθ) b) M2 = M1 (sinθ - µcosθ)

c) θµ+θ=

cos sin

M M 1

2

d) θµ−θ=

cos sin

M M 1

2

104. A fire man of mass 60 kg slides down a plow. He is pressing the pole with a force of

600 N. The coefficient of friction between the hands and the pole is 0.5. With what acceleration will the fireman slide down?

a) 10 m s-2 b) 5 m s-2 c) 2.5 m s-2 d) 1 m s-2 105. If M1= 10 kg, M2 = 30 kg, µ1 = 0.5, µ2 = 0.15 and F = 40 N, what will be the

acceleration with which the slab will move? a) 5 m s-2 b) 2 m s-2 c) 1 m s-2 d) zero



106. If M1= 10 kg, M2 = 30 kg, µ1 = 0.5, µ2 = 0.15 and F = 100 N, what will be the

acceleration with which the slab will move? a) 5 m s-2 b) 2 m s-2 c) 1 m s-2 d) None of these

107. Maximum force of friction is called a) Static friction b) limiting friction c) Dynamic friction d) Sliding friction

108. A body begins to slide over the surface of another when pulled with a force 10 N. IF we

pull with a force of 5 N, the force f friction that will come into play is a) zero b) 0.5 N c) 5 N d) 50 N

109. A body of mass 2 kg and surface area 10 cm2 begins to slide down an inclined plane

when the angle of inclination is π/6. If the surface area of the same body is made 20 cm2, keeping the mass unchanged, it will begin to slide down when the angle of inclination is

a) π/2 b) π/6 c) π/3 d) 2π/3 110. A body is projected upwards with a kinetic energy of 100 J. Taking the friction of air

into account, when it returns to earth, its kinetic energy will be a) 100 J b) less than 100 J c) more than 100 J d) None of these

111. It is easier to pull a lawn roller than to push it because pulling

a) Involves sliding friction b) Involves the dry friction c) increases in the effective weight d) decreases normal reaction

112. Decrease of which one of the following quantities enables us to transport even a heavy

barrel by rolling across the road? a) Weight b) normal reaction c) limiting friction d) Coefficient of friction

113. A mass M is placed on a horizontal surface. Given that the angle of friction θ, the

minimum force required just to slide the mass is a) Mg sinθ b) Mg cosθ c) Mg tanθ d) None of these

114. A body is sliding down on an inclined plane having angle of friction θ. If the

coefficient of friction is µ, then the acceleration of the body down the inclined plane is a) g (sinθ + µcosθ) b) g (sinθ - µcosθ) c) g (cos θ + µ sinθ) d) g (cos θ - µsinθ) N

115. Why we prefer rubber tyres to the steel tyres?

a) Rubber is cheaper than steel b) It is easy to give the rubber a circular shape c) Coefficient of friction between rubber on concrete is lower than that between the steel on

concrete d) Iron tyres produce more noise that the rubber tyres.

116. Why a horse need to pull harder during the first few steps in puling the cart? a) Limiting friction is greater than dynamic friction b) Sliding friction is greater than rolling friction



c) No frictional force acts after the cart comes in motion d) Air friction is greater during first law steps of motion.

117. Why do we use circular tyres?

a) They require less material b) Rolling friction is smaller than sliding friction c) It is easy to inflate the circular tyres d) Due to some reason other than those listed above.

118. How does the proper inflation of tyres save fuel?

a) Normal reaction decrease b) Normal reaction increases c) Sliding contact with road decrease d) Sliding contact with road increases

119. A block rests on an inclined plane. The angle of inclinations slowly increased, and the

block begins to slide down when the inclined plane makes 30o with the horizontal. What is the coefficient of friction between the block and the inclined plane?

a) ½ b) 1/√2 c) 1/3 d) 1/√3

120. Given that is the force and Sρ

is the displacement. Angle between Fρ

and Sρ

is θ. Which of the following is the correct expression for work ‘w’?

a) θ× cosSFρρ

b) [ ][ ]ScosFρρ

θ c) [ ][ ]θcosSFρρ

d) θcosS.Fρρ

121. The “Newton meter” is the unit o f

a) Momentum b) power c) work d) Gravitational force 122. A man weighing 50 kg carries a load of 10 kg to the top of the building in 4minutes.

The work done by the man is 6 × 104. If he carries the same load in 8 minutes, the work done by the man will be

a) 1.5 × 104 J b) 3 × 104 J c) 6 × 104 J d) 12 × 104 J

123. A force of ( )j4i3 + N acts on a body and displace it by ( )k4j3 + m. The work done by the force is

a) 0 b) 1 J c) 16 J d) 25 J 124. A person holds a bucket of weight 60 N. HE walks 7 m along the horizontal and then

climbs up a vertical distance of 5 m. The work done by the man is a) 300 b) 420 c) 720 N d) None of these.

125. An engine pumps up 100 kg of water through a height of 10 m I 5 s. Given that the

efficiency of the engine is 60% what is the power of the engine? Take g = 10m/s2. a) 33 kW b) 3.3 kW c) 0.33 kW d) 0.033 kW

126. An engine pumps up 40 kg of water in one second. The water comes out vertically

upwards with a velocity of 3 m/s2. What is the power of the engine in kilowatt? a) 1.2 kW b) 12 kW c) 120 kW d) 1200 kW



127. The work done against friction, when a body of mass M moves upon inclined plane of

angle θ through a distance S is a) µ Mg (sinθ+µsinθ) b) µ Mg + sinθ S c) µ Mg cosθ S d) None of these

128. Which of the following statements is correct?

a) If there were no friction, work need to be done to move a body up an inclined plane will be zero

b) If there were no friction moving vehicle could not stopped even by locking the brakes c) As the angle of inclination is increased the normal reaction on the body placed on it

increases d) AQ duster weighing 0.5 N is present against a vertical board with a force of 11 N. If the

coefficient of friction 0.5, the work done in rubbing upwards through a distance of 10 cm is 0.55 J.

129. Which of the following statements is correct?

a) Work done against friction taking body up an inclined plane is more than that in moving it through the same distance on a horizontal surface of the same nature

b) The work done against friction is directly proportional to the force with which the surfaces are pressed together.

c) Friction increases the time taken by a body projected upwards to reach the highest point. d) None of these

130. Two bodies A and B having mass m and M respectively posses same kinetic energy.

Given that M>m. If PA and PB be their momenta, then which of the following statements is true?

a) PA = PB b) PA > PB c) PA < PB d) It cannot be predicted. 131. A heavy weigh t is suspended from the spring. A person raises the weight till the spring

becomes slack. The work done by him is W. The energy stored in the stretched spring was E. What will be the gain in gravitational potential energy?

a) W b) E c) W + E d) W - E 132. A body is acted upon by a force which is proportional to the distance covered. If

distance covered be denoted by x, then work done by the force will be proportional to a) x b) x2 c) x3/2 d) None of these

133. A body is acted upon by a force which is inversely proportional to the distance

covered(x). The work done by the force will be proportional to a) x b) x2 c) x3/2 d) None of these

134. A body starts from rest and acquires a velocity V in time T. The work done on the body

in time t will be proportional to

a) t

TV

b) 2

2

tT

V

c) t

T

V2

2

d) 2

2

2

tT

V



135. A body of mass M is raised from the surface of the earth to an altitude equal to the radius of the earth. The potential energy gained by the body will be

a) Mg R/2 b) 2 Mg R c) Mg R d) None of these 136. A uniform chain of length L and mass M is lying on a smooth table. One-fourth of its

length is hanging vertically down over the edge of the table. How much work need to be done to pull the hanging part back to the table?

a) Mg L b) Mg L/2 c) Mg L/8 d) Mg L/32 137. The distance (x) covered by a body of 2 kg under the action of a force is related to

time(t) as x =t2/4. What is the work done by the force in first 2 seconds? a) 4 J b) 2 J c) 1 J d) 0.5 J

138. A man drags a box with uniform speed across a 10 m rough floor. The coefficient of

friction of the floor is 0.5. If the man pulls the box with a force of √3 kN at an angle 30o with the horizontal, what is the work done in dragging the box?

a) 30 kJ b) 15 kJ c) 15 /√3 kJ d) 5 kJ 139. A meter scale of mass 100g is pivoted at one end. If it is held at 30o with a horizontal,

what is the potential energy associated with it? a) 0.10 J b) 0.15 J c) 0.20 J d) 0.25 J

140. Work equal to 25 J is done on a mass of 2 kg to ser it in motion. If whole of it is used t

increase the kinetic energy, then velocity acquired by the mass in m s-1 is a) 5 b) 12.5 J c) 0.20 J d) 0.25 J

141. When the mass and speed of a body are doubled, the kinetic energy of the body

a) Becomes double b) Becomes four times c) Becomes eight times d) Remains unchanged

142. If the momentum of a body is doubled, the kinetic energy is

a) halved b) unchanged c)doubled d) increase four time 143. A body falls freely under gravity. Its velocity is v when it has lost potential energy

equal to U. What is the mass of the body? a) U2/ v2 b) 2 U2/ v2 c) 2 U/ v2 d) U/ v2

144. An unloaded bus and a loaded bus are both moving with the same kinetic energy .The

mass of the latter is twice that of the former. Brakes are applied to both, so as to exert equal retarding force, If x1 and x2 be the distances covered by the two busses respectively before coming to a stop, then

a) x1 = x2 b) 2 x1 = x2 c) 4 x1 = x2 d) 8 x1 = x2 145. The momentum of a particle is numerical equal to its kinetic energy. What is the

velocity of the particle? a) 1 m/s b) 2 m s-1 c) 4 m s-1



d) Momentum cannot be equal to the kinetic energy. 146. Given that the displacement of body in meters is a function of time as follows: x =2t2+5.

The mass of the body is 2 kg. What is the increase in its kinetic energy one second after the stat of motion?

a) 8 J b) 16 J c) 32 J d) 64 J 147. A stone of ,ass 2 kg is being rotated in a horizontal circle with the help of a string 1 m

long. The energy spent on the stone by the (centripetal) force acting along the string is a) 20 J b) 2 J c) 1 J d) zero

148. A car accelerated from rest to a speed of 10 m s-1, the energy spent will be

a) E b) 2 E c) 3 E d) 4 E 149. Which of the following is not conserved during elastic collisions?

a) momentum b) energy c) Kinetic energy d) None of these 150. A ball moving with a velocity ν

ρcolloids elastically with another ball of equal mass, in

a one-dimensional collision. Which of the following is not possible?

a) First ball will come to rest b) second ball will move with velocity vρ

c) Each ball will move with velocity vρ

after collision

d) The first ball will move with a velocity less than vρ

151. A body just dropped from a tower explodes into two pieces pf equal assume the midair.

Which of the following is not possible? a) Each part will follow parabolic path b) only one part will follow parabolic path c) Both parts move along a vertical line d) one part reaches the ground earlier than the other

152. If u1 and u2 be initial and v1and v2 be the final velocities of the colliding particles, then

we define coefficient of restitution ‘e’ as 21

21

uu

vv

−−=e

For perfectly elastic collision ‘e’ is

a) Zero b) 1 c) less than 1 d) more than 1 153. In Q. 152, for perfectly inelastic collision ‘e’ is

a) Zero b) 1 c) less than 1 d) more than 1 154. A ball strikes against the floor and returns with double the velocity. In which type of

collision is it possible? a) Perfectly elastic b) Inelastic c) Perfectly inelastic d) It is not possible

155. Which of the following statements is true?

a) Kinetic energy is conserved in all types of collisions.



b) By definitions there is no difference between elastic and perfectly elastic collision c) By definitions there is no difference between inelastic and perfectly inelastic collision d) After the collision, the relative displacement of the particles can decreases with time.

156. Which of the following is not an example of perfectly inelastic collision?

a) A bullet fired in a block if bullet gets embedded in the block b) Capture of electron by an atom c) A man jumping on to a moving boat d) A ball bearing striking another ball bearing.

157. A ball of mass M moving with velocity v colloids elastically with wall and rebounds.

The change in momentum of the ball will be a) Zero b) M v c) 2 M v d) 4 Mv

158. A moving mass of 8 kg collides elastically with a stationary mass of 2 kg. If E be the

initial kinetic energy of the moving mass, the kinetic energy left with it after the collision will be

a) 0.80 E b) 0.64 E c) 0.36 E d) 0.08 E 159. A ball collides elastically with another ball of same mass. The collision is oblique and

initially one of the balls was at rest. After the collision the two balls move with same speeds. What will be the angle between the velocities of the balls after collision?

a) 30o b) 45o c) 60o d) 90o 160. A ball of mass M1 collides elastically and head on with another ball of mass M2 initially

at rest. In which of the following cases the transfer o momentum will be maximum? a) M1 = M2 b) M1 > M2 c) M1 < M2 d) Data is not sufficient to predict

161. A metal ball and a rubber ball of the same mass are dropped from the same height.

After hitting the floor, the rubber ball rises higher than the metal ball. Why? a) There is greater change of momentum in case of the rubber ball. b) The rubber ball hits the floor with greater velocity. c) Momentum is not conserved when rubber ball hits the floor. d) Momentum is not conserved when the metallic ball hits the floor.

162. A shell of mass M is moving with a velocity V. It explodes into two parts, and one of

the parts of mass m is left stationary. What will be the velocity of the other part? a) zero b) 0.5 N c) 5 N d) 50 N

163. A shell of mass M is moving with a velocity V. It explodes into two parts. One of the

parts is left stationary and the other part of mass m moves with velocity v. Which of the statement is true?

a) zero b) 0.5 N c) 5 N d) 50 N 164. A ball B1 of mass M is moving with a velocity v along north. It colloids with another

ball B2 of same mass moving with a velocity v along east. After collision both balls



stick together and move along the north-east. What will be the velocity of the combination?

a) zero b) 0.5 N c) 5 N d) 50 N 165. A ball is dropped from a height h. It rebounds from the ground a number of times.

Given that the coefficient of restitution is e, to what height does it go after the nth

rebounding? a) zero b) 0.5 N c) 5 N d) 50 N

166. A ball B1 of mass M is moving northwards with velocity v it colloids elastically with

another ball B2 of same mass but moving eastwards with the same velocity v. Which of the statement is true?

a) zero b) 0.5 N c) 5 N d) 50 N 167. A ball B1 of mass m is moving with velocity u1 collides head on with another ball B2 of

the same mass. Given that the coefficient of restitution is e. Answer the following questions.

What will be the ratio of the velocities of two balls after the collision? a) zero b) 0.5 N c) 5 N d) 50 N

168. In Q 167, what will be the ration of the final and initial velocities of the ball B1?

a) zero b) 0.5 N c) 5 N d) 50 N 169. In Q 167, what will be the ration of the final velocities of B2 and initial velocity the ball

B1? a) zero b) 0.5 N c) 5 N d) 50 N

170. A neutron is moving with velocity u. It collides head on and elastically with an atom of

mass number A. If the initial kinetic energy of the neutron be E, how much kinetic energy will be retained by the neutron after collision?

a) zero b) 0.5 N c) 5 N d) 50 N 171. Let l be the moment of inertia of a uniform square plate about an axis AB that passes

through its center and is parallel to two of its sides. CD is a line in the plane of the plate that passes through the center of the plate and makes an angle θ with AB. The moment of inertia of the plate about the axis CD is then equal to

a) zero b) 0.5 N c) 5 N d) 50 N 172. Two like parallel forces P and 3P are 40 cm apart. If the direction of P is reversed then

their resultant shifts through s distance a) zero b) 0.5 N c) 5 N d) 50 N

173. Two particles approach each other with different velocities. After collision, one of the

particles has a momentum pρ

in their center of mass frame. In the same frame, the momentum of the other particle is

a) zero b) 0.5 N c) 5 N d) 50 N



174. Three blocks of masses m1, m2 and m3 are connected by mass less strings as shown on a

frictionless table. They are pulled with a force T3 =40 N. If m1=10 kg , m2 = 6 kg and m3 = 4 kg, the tension T2 will be

a) zero b) 0.5 N c) 5 N d) 50 N 175. A weightless thread can bear tension up to 3.7 kg weight. A stone of mass 500 g is tied

to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10 ms-1, then the maximum angular velocity of the string will be

a) zero b) 0.5 N c) 5 N d) 50 N 176. A car of mass ‘m’ is driven with acceleration ‘a’ along a straight level road against

constatnt external resistive force ‘R’. When the velocity of the car is ‘V’, the rate which the engine of the car is doing work will be

177. Two rings have their moments of inertia in the ratio 2:1 and their diameters are in ratio 2:1. The ratio of their masses will be

a) zero b) 0.5 N c) 5 N d) 50 N 178. Two particles of masses m1 and m2, initially at rest, start moving towards each other

under their mutual force of interaction. The speed of the center of mass at any time t, when they are at a distance r apart, is

a) zero b) 0.5 N c) 5 N d) 50 N 179. Two Putty balls, of equal mass, moving with equal velocity, in mutually perpendicular

directions, stick together after collision. If the balls were initially moving with a velocity of 45√2 m/s each, the velocity of their mass, after collision, is

a) zero b) 0.5 N c) 5 N d) 50 N 180. If the earth were to rotate faster than its present speed, the weight of an object will

a) zero b) 0.5 N c) 5 N d) 50 N 181. A block of mass m, lying on a rough horizontal plane, is acted upon by a horizontal

force P and another force Q, inclined at an angle θ to the vertical. The block will remain in equilibrium, if the coefficient of friction between it and the surface is

a) zero b) 0.5 N c) 5 N d) 50 N 182. If the momentum of a body increases by 50%, its kinetic energy will increase by

a) zero b) 0.5 N c) 5 N d) 50 N 183. A particle moves in the xy-plane under the action of force F such that the components

of its line at momentum p at any time t. The angle between f and p at that t is a) zero b) 0.5 N c) 5 N d) 50 N

184. A uniform rope of length L, resting on a frictionless horizontal surface, is pulled at one

end by a force F. The tension in the rope at a distance l from this end is a) zero b) 0.5 N c) 5 N d) 50 N



185. The moments of inertia of two freely rotation bodies A and B are IA and IB respectively.

IA > IB and their angular momenta are equal. If KA and KB are theirs kinetic energies, then

a) zero b) 0.5 N c) 5 N d) 50 N 186. In which case does the potential energy decrease?

a) zero b) 0.5 N c) 5 N d) 50 N 187. A bullet is fired with a speed of 1000 m/sec in order to hit a target 100 m away. If

g=10m/s2, the should be aimed a) zero b) 0.5 N c) 5 N d) 50 N

188. A body is moved from rest along a straight line by a machine delivering constant

power. The distance moved by the body in time t is proportional to a) zero b) 0.5 N c) 5 N d) 50 N

189. The moment of inertia of a solid cylinder of mass m and radius R about a tangent on the

surface and parallels to the axis of the cylinder is a) zero b) 0.5 N c) 5 N d) 50 N

190. If the change in momentum of a body doubled, then the impulse will be

a) zero b) 0.5 N c) 5 N d) 50 N

CENTER OF MASS, RIGID BODIES, RATIONAL MOTION

1. A particle of mass m moving towards the east with speed v colloide with another particle

of the same mass and same speed v moving towards the north. IF the two particles stick with each other, the new particle of mass 2m will have ths speed of

a) v b) v/2 c) v/ 2 d) ) v 2 2. A solid cylinder has mass M, length L and radius R. The moment of inertial of this

cylinder about a generator is

+

4

R

12

LM)a

22

4ML

)b2

2MR

2

1)c

2MR2

3)d

3. A thin circular ring of mass M and radius r is rotating about its axis with constant angular

velocity ω . Two objects, each of mass m, are placed gently at the opposite ends of diameter of the ring. The ring now rotates with the angular velocity.

a) ωM/(M+m) b) ωM/(M+2m) c) ω(M-2m)/(M+2m) d) ω(M+2m)/ M 4. The force constant of a weightless spring of 16N/m. A body of mass 1.0 kg, suspended

from it, is pulled down through 5 cm and then released. The maximum kinetic enerth of the system (spring + body )will be



a) 2 x 10-2 J b) 4 x 10-2 J c) 8 x 10-2 J d) 16 x 10-2 J 5. If the equation fot the displacement of a particle mocing on a cicular path is given by

θ=2t3=.5, where θ is in radian and t in second, then the angular velocity of the particle , after 2 sec from its start is

a) 8 rad/sec b) 12 rad/sec c) 24 rad/sec d) 36 rad/sec 6. A body of mass 5 kg is moving in a circle of radius 1m with an angular velocity of 2

rad/sec. The centripetal force is a) 10 N b) 20 N c) 30 N d) 40 N

7. A 8000 kg rocket is set for verticla firing. The exhaust speed is 800 ms-1. To give an

initial upward acceleration of 20 ms-2,the amount of gas ejected per second to supply the needed thrust will be

a) 127.5 kgs-1 b) 137.5 kgs-1 c) 187.5 kgs-1 d) 185.5 kgs-1 8. O is the center of an equilateral triangle ABC. F1,F2 and F3 are three forces acting along

the sides AB,BC and AC as shown in figure. What shoukd be the nmagnitude of F3 so that the torrque aout O is zero?

a) (F1+F2)/2 b) (F1-F2) c) 2(F1+F2) d) (F1+F2) 9. A thin circular ring of mass M and radius r is rotating about its axis witrh a constant

angular velocity ω. Two objects each of mass m are attached gently to the opposite ends of a diameter of the ring. Two rings will now rotate with the angular velocity

mM

M)a

+ω

mM2

M)b

+ω

( )M

m2M)c

+ω

( )m2M

m2M)d

+−ω

10. A particle will restore force propotional to displacement and resisting force proportional

to velocity is subjected to a force Fsinωt.If the amplitude of the particle is maximum for ω↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑ = ω↑↑1 and the energy of the particle maximum for ω↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑ = ω↑↑2 , then

0201 and)a ω≠ωω=ω 0201 and)b ω=ωω≠ω 0201 and)c ω≠ωω≠ω 0201 and)d ω=ωω=ω

11. Which of the following is the relation of centripetal force?

r

m)a

2ν r

m)b

ν r

m)c

3ν

2

2

rm

)dν

12. A body of mass 100 g is rotating in a circular patrh of radius r with constant velocity. The

work done in one complete revolution is a) 100 rJ b) r/100 J c) (100/r)J d) zero 13. Under a constant torque, the angular momentum of a body changed from A to 4A in 4

seconds. Find the torque. a) 3/4 A b) 1/4 A c) 3 A d) 4/3 A



14. A thin circular ring of mass M and radius r is rotating about is axis with constant average

velocity ω. Two objects, each of mass mare attached gently to the opposite ends of a diameter of a ring. tow rings will now rotate with an angular velocity

m2M

M)a

+ω

m2M

M)b

−ω

( )M

m2M)c

−ω m2M

M2)d

−ω

15. A spherical ball rolls down on an inclined plane. What is fraction of the total energy

associated with rotation? a) 2/7 b) 5/7 c) 2/5 d) 1/2

16. Two racing cars of masses, m1 and m2 are moving in circles with radii r1 and r2-

respectively. their speeds are such tath each makes a complete cirle in the same length of time. The ratio of their angular speeds are.

a) m1:m2 b) r1:r2 c) 1:1 d) m1 m2 : r1 r2 17. The center of mass of systen of particles doesnot depend on the

a) masses of the particles b) forces on the particles c) position of the particles d) relative seperation between the particles

18. A cracker at rest explodes into a large number of parts. What happens to the center of

mas of the system? a) It describes a straight line b) It describes a parabola c) It continues to be at the same point at which it existed before explosion d) nature of the path described cannot be predicted

19. Three identical spheres, each of mass 1 kg are placed touching each other with their

centers on a straight line. Theri ccenters are narked K, L and M resplectively. The distance of center of mass of the sytem from K is

3

LMKMKL)a

++ 2

KMKL)b

+ 3

LMKL)c

+ 3

LMKM)d

+

20. The motion of the center of mass of system of two particles is not affected by the intenal

forces a) Irrespective of their directions b) only when they act along the ine joining the particles c) only when the forces are perpendicular to each other d) when the angle between the lines of action of the forces lies between 0 and 90o

21. Two bodies A and B are attached towards each other due to gravitaiton. Given that A is

much heavier than B, which of the following correctly desctibes the relative motion of the center of mass of the bodies

a) It moves towards A b) it remains aat rest w.r.t. A as well as B c) It moves towards B d) It moves perpendicular to the line joining the particles

22. A system consists of 3 particles each of nass m and located at (1,1)(2,2) (3,3).The



coordinates of the cente of mass are a) (6,6) b) (3,3) c) (2,2) d) (1,1)

23. Two identical balls, each of radius 10 cm are placed in such a way tht both touch each

other.The distance of their center mass forn the point of contact is a) zero b) 5 cm c) 10 cm d) 15 cm

24. Three identical balls, each of radius 10 cm and mass 1 kg each are placed touching one

another on a horizontal surface. Where is the center of mass located? a) On the horizontal surface b) At the point of contact af any two spheres c) At the centre of one ball d) None of these

25. Three identical balls, each of radius 10 cm and mass 1 kg each are placed on a horizontal

surface touching one another so that their centers are located at the corners of squares of side 20 cm. What is the distance of their centre of mass from centre of either sphere?

a) 5 cm b) 0.5 N c) 5 N d) None of these 26. Two atoms of hydrogen are located at r1 and r2. their centrer of mass is at

a) zero b) 10 cm c) 20 cm d) None of these 27. IF the net force acting on the system of particles is zero,then which of the following may

vary? a) momentum of the system b) kinetic energy of the system c) velocity of center of mass d) position of center of mass

28. The separatin between carbon and oxygen molecule in CO is 0.12 nm. What is the

distance of the center of mass from carbon atom? a) 0.03 nm b) 0.05 nm c) 0.07 nm d) 0.09 nm

29. A system consists of 10 partilces each of mass m and located at distance r1, r2, r3, ....r10

respectively from the axis of rotaion. The moment of inertia of the system is given by a) 10 m[r1

2+ r22+r3

2+.....+r102] b) m[r1

2+ r22+r3

2+.....+r102]

c) m[r12+2 r2

2+3r32+....+10.r10

2] d) None of these 30. The moment of inertia of a body does not depend upon

a) the angular speed b) mass of the body c) nature of distribution of mass d) location of the axis of the rotation

31. The dimensional formula for moment of inertia is

a) ML2T2 b) M2L2T2 c) ML2T0 d) M2L2T0 32. The dimensions of the radius of gyration are the same as that of

a) length/mass b) length 2/mass c) length d) length1/2 33. The radius of gyration of a body is independent of a

a) mass of the body b) nature of distribution of the body



c) axis of rotation d) None of these 34. A ring, a solid sphere and a disc have the same mass and radius. Which of them hace the

largest moment of inertia? a) Ring b) Solid sphere c) Disc d) All have the same moment of inertia

35. Generally the mass of a fly wheel is concentrated in its rim. Why?

a) to decrease the moment of inertia b) to increase the moment of inertia c) to obtain stable equilibrium d) to obtain a strong wheel

36. A solid cylinder of diamerer D is mounted on frictionless horizontal axle. A string is

wrapped around it and a heavy mass is attached to the free end of the string. The mass is allowed to fall freely. If the speed of the mass just before striking the ground by v, then

a) v α D b) v α D2 c) v α 1/D d) v is independent of D 37. Assumiong thet the earth rotates in a circular orbit around the sun, which of the following

vectors can be used to represent the angular speed of the earth? a) passing through the centre of the sun joining the earth to the sun b) passing through the centre of the sun and lying in he plane of the orbit c) passing through the centre of the sun and perpendicular to eh plane of the orbit d) None of these

38. If M is the mass of a disc and r is tis radius of gyration, then moment of inertial is given

by a) Mr2 b) 1/2 Mr2 c) 2/5 Mr2 d) 2/3 Mr2

39. The angular kinetic energy of a body is independent of

a) speed b) angular momentum c) moment of inertia d) None of these 40. Two circular discs have masses in the ratio of 1: 2 and diameters int he ratio of 2: 1. The

ration of therir moment of inertia is a) 1 b) 2 c) 4 d) 8

. =

disc.of.inertia.of.moment

ring.of.inertia.of.moment thenradius. same and mass same have disc a and ringA 41.

a) 0.5 b) 1 c) 2 d) 4

42. A disc and ring have same mass and radius. If we denote the moment of inertia of disc

by Id and that of ring by Ir . then a) Ir > Id b) Ir > Id c) Ir = Id d) their relation deplends upon the nature of material

43. Moment of inertial of a solid sphere about an axis tangential to its surface is

a) 2/3 MR2 b) 2/5 MR2 c) 7/5 MR2 d) 5/3 MR2



44. A bout which of the following axes, the moment of inertail of a thin circular disc is minimum?

a) Through center perpendicular to the surface b) Through center parallel to the surface c) tangentila and perpendicular to the surface d) tangentila and parallel to the surface

45. All the magnitudes of which of the following can be treated a vectors?

a) angular displacement b) average angular velocity c) Instantaneous angular velocity d) None of these

46. A ring and a thin hollow cylilnder have the same mass and radius. If Ir be the moment of

inertia of ring about its axis and Is be that of cylinder, then which of the following is relations is correct?

a) Ir = Is b) Ir =2 Is c) 2Ir = Is d) None of these 47. A wheel is rotating with constant speed about an axis passing through its center and

perpendicular to the plane of the wheel. Which kind of acceleration is possessed by a particle located at the rim of the wheel?

a) Centripetal only b) Centripetal only c) both Centripetal and Centripetal d) neither Centripetal and Centripetal

48. A solid sphere of mass 500 g and radius 10 cm rolls without slipping with a velocity 20

cm/s. The total kinetic energy of the sphere is a) 280 J b) 140 J c) 0.028 J d) 0.014 J

49. A solid sphere of mass 500 g and radius 10 cm rollsdown on an inclined plane without

slipping and without loss of energy. The height of top of the inclined plane above the bottom is 0.7 m . Given thet g= 10m/s2, the linear speed of the sphere on reaching the bottom , will be

a) 1.6 m/s b) 3.2 m/s c) 6.4 m/s d) None of these 50. The action of constant torque on a body produces in the body a constant angular

a) acceleration b) momentum c) velocity d) displacement 51. Moment of inertial of a solid cylinder about its axis is I. It is allowed to roll down on

inclined plane without slipping. IF its angular velocity at teh bottom be ω, then kinetic energy of the cylinder willl be

a) 1/2 I ω2 b) I ω2 c) 3/2 I ω2 d) 2 I ω2 52. A thin circular ring of mass M and radius R rotatiing about its axis with a constant

angular speed ω. Two blocksk, each of mass m are attached gently to the opposite ends of a diameter of the ring. The angular speed of the ring will be.

ω2m-M

2M a)

ω

+ 2mM

2m- M b)

ω

+ 2mM

M c)

ω+

M

2m M d)



53. A ring starts from rest and acquires an angular speed of 10 rad/sec in 2s. The mass of the ring is 500 g and its radius is 20 cm. The torque on the ring is

a) 0.02 Nm b) 0.2 Nm c) 0.1 Nm d) 0.01 Nm 54. What is the relation between tangential acceleration a1and the centripletal acceleration ac

during non-uniform circular motion? a) aγ must be greater than ac b) aγ must be less than ac c) aγ must be equal than ac d) None of these relation are true

55. Which of the following statements is true?

a) their velocity increase when they are nearest to the sun in accordance with the conservation of angular momentum b) their velocity decreases when they are nearest to the sun in accordance with the conservation of angular momentum c) Areal velocity of the planet varies with time to conserve the energy d) Areal velocity of the planet is directly propotioanl to the distance of the planet form the sun

56. A particle is rotating along a circular path in the X-Y plane. The angular momentum

vector of the particle will be directed parallel to a) X-axis b) Y-axis c) Z-axis d) None of these

57 A stone of mass m tied to a string of length l is rotating along a circular path with

constant speed v. the torque on the string is a) mvl b) mv/l c) mv2 /l d) zero

58 Whch of the following quantities must be conserved when the torque acting on a system

is zero? a) angular b) angular momentum c) angular angular d) liear momentum.

59. If the earth shrinks to half of its radius without change in mass, the duratioj of day will be

a) 48 hours b)24 hrs c) 12 hrs d) 6 hrs 60. The dimensional formula for the torque is same as that for

a) angular kinetic energy b) power c) angular momentum d) impulse 61. A hollowcylinder of the same mass and radius are releases simultaneously from rest at

the top of same inclined plane. Which will reach the ground first? a) solid cylinder b) hollow cylinder c) both will take the same time d) it can't be predicted

62. Given that the moment of inertia of a system is I, Its instantaneous angular velocity is ω,

angular acceleration is α, and the torque is τ. Whic of the following relationis correct? a) ωωωω = t/I b) τ =I α c) α = I/ω d) I= τ/ω

63. What is the moment of momentum/



a) Moment of inertia b) angular moment c) Moment of force d) torque

64. Cross product of which of the following gives an axial vector?

a) two axial vector b) two polar vector c) an axial and a polar vector d) None of these

65. A body is under the action of two equal and oppositely diercted forces and the body is

rotating with constant accelertion . Whifh of the following cannot be the seperation between the lines of action of the forces?

a) 1 m b) 0.4 m c) 0.25m d) zero 66. It is easier for a swimmer jumping into water from a height to describe a loop in the air

by a) pulling the arms and and legs closer b) spreading arms and and legs closer c) keeping the arms and and legs straight d) None of these

67. A particle is moving on a circular path with constant speed. Which of the following

statements a about the particle is true? a) It posses radial acceleration b)it posses radial velocity c) It posses tangential velocity d) It doesnot posses tangential acceleration.

68. A body is moving along a circular path with constant speed. If the direction of rotationis

reversed and the speed is doubled, then a) direction of centripetal acceleration is reversed b)magnitude of centripetal acceleration is doubled c) direction of centripetal acceleration is remains unchanged d) magnitude of centripetal acceleration is halved

69. A body is moving along a circular path with constant speed. Which of the following

statements a about its motion is true? a) No work is done on the body b) The acceleration of the bdy is zero c) no force acts on the body d) the body moves with constant velocity

70. What happens to the centripetal acceleration of a particle, when its speed is doubled and

angular velocity is halved? a) halved b) remains unchanged c) doubled d) becomes four times

71. A stone is tied to the end of a string of length l and is whirled along a circular path. What

happens when the string breaks? a) Stone flies radially outwards b) Stone flies radially inwards c) Stone flies tangentially to the circular path stone drops downd) 50 N

72. A solid sphere rolls down on inclined plane and its velocity at the bottom is v2. which of

the following relation is correct?



a) v1= v2 b) v1= 5/7v2 c) v1= 7/5v2 d) None of these

=ring theofenergy kinetic Rotational

ring theofenergy kineticLinear thensurface. plane a along rolls ringA 73.

a) 2 b) 1 c) 1/2 d) None of these

74. A ring and disc of same moment of inertia roll along a plane surface with the same speed.

If Er be the rotational kinetic energy of the ring and Ed be that of the disc, then a) Er > Ed b) Er < Ed c) Er = Ed d) The relation depends upon the masses of the ring and disc

75. The dimensionla formula of angular momentum is

a) ML2T2 b) ML -2T-2 c) ML2T-1 d) ML -2T2 76. A stone is whirled along a circular path with uniform speed. Which of the following is

constant both in magnitude and direction? a) velocity b) angular velocity c) Acceleration d) Centripetal acceleration

77. A circular disc rolls down an inclined plane. The fraction of its total energy associated

with its rotational motion is a) 1/4 b) 1/3 c) 1/2 d) 1

78. If a particle moves along a circular plath of radius r with the uniform speed v, then the

angle described by it in one second is given be a) v r b) (v r) -1 c) v r -1 d) v r -2

79. The angular acceleration of a particle moving along a circular path with constant speed is

a) uniform b) variable c) zero d) such as cannot be predicted from the given information

80. A particle moves along a circular path of constant radius. The magnitude of its

accelerationis a) uniform b) variable c) zero d) such as cannot be predicted from the given information

81. A stone is tied to the end of a string and is made to rotate in a circular path by holding the

other end of the sttring by hand. If the string is let off, the stone flies offf tangentially to the circular plath. This happens because of

a) centripetal force b) centrifugal force c) inertia d) None of these 82. Whic of the following statements about centripetal and centrifugal force is correct?

a) They can cancle each other b) both act on a same body c) they are opposietely directed d) None of these

83. A particle moving along a circular path, due to a centripetal force having constant



magnitude is an example of motion with. a) constant speed and velocity b) variable speed and velocity c) variable speed and constant velocity d) constant speed and variable velocity

84. For a particle moving along a circular path with a constant speed, the acceleration is

constant is a) magnitude b) direction c) both magnitude and direction d) neither magnitude and direction

85. Two satellite are going round the earth at a height of 200 km and 300 km respectively. If

angular speed of both is same, centripetal acceleration will be a) Same for both b) More for the first c) More for the Second d) such as cannot be predicted

86. A particle of mass 2 kg is moivng along a circular path of radius 1 m. IF its angular speed

is 2π rad.sec, the centripetal force will be. a) 4π N b) 8π N c) 4π2 N d) 8π2 N

87. If the radiu of the circular path of particle going round the circle is doubled with out

changing its frequency of rotation, then centripetal force on it is a) halved b) unchanged c) doubled d) quadrupled

88. Two men are carrying a uniform bar of length L, on their shoulders, the bar is held

horizontally such that younger man is at the end of the bar, what is the distance of the other man from the end?

a) L/3 b) L/2 c) 2L/3 d) 3L/4 89. A mass of 10 kg is moving with a constant velocity 0.5 m/s parallel to X- axis. The

shortest distance of the mass from the origin during its moion is 20 cm. What will be angular momentum of the mass about the origin in SI units?

a) zero b) 0.1 c) 0.5 d)None of these 90. A wheel of moment of inertial 2 x 103 kg m2is rotating at uniform angular speed of 4

rad/sec. what torque is required to stop it in one second? a) 0.5 x 103 Nm b) 8 x 103 Nm c) 2 x 103 Nm d) None of these

91. A body rolls without slipping. The radius of gyration of the body about an axis passing

through its center of mass is k. If radius of the body be R, then what is the ration of its-rotational kinetic energy to translational kinetic energy?

a) (k2 + R2) b) k2 /R2 c) k2/(k2 + R2) d) R2/(k2 + R2) 92. A body rolls down on inclined plane without slipping. The fraction of total energy

associated with its rotation will be a) (k2 + R2) b) k2 /R2 c) k2/(k2 + R2) d) R2/(k2 + R2)



93. A body rolls down on inclined plane without slipping. The fraction of total energy associated with translation will be

a) (k2 + R2) b) k2 /R2 c) k2/(k2 + R2) d) R2/(k2 + R2) 94. A disc rolls down on inclined plane having inclination 30o, without slipping. What will

be its acceleration down the inclined plane? a) g/2 b) g/3 c) 2g/3 d) None of these

95. A body is acted uponby a constatn torque. In 4 seconds its angular momentum changes

from L to 4 L. What is the magnitude of the torque? a) 3L/4 b) 3L c) L/4 d) 12L

96. A body of mass M slides down on inclined plane and reaches the bottom with velocity

v.If the ring of same mass rolls down the same inclined plane, what will be its celocity on reaching the bottom?

a) v b) v/ 2 c) 2 v d) v/2 97. Two particles, each of mass m and charge q, are attached to the two ends of a light rigid

rod of length 2R. The rod is rotated at constatn angular speed about a perpendicular axis passing through its center. The ratio of the magnitude of the magnetic moment of the system and its angular momentum about the centreof the rod is

a) q/2m b) q/m c) 2q/m d) q/πm

98. The torque τ on a body about a given point is found to be equal to LA × ,where A is a

constant vector, and L is the angular momentum of the body about that point. From this it follows that

timeofinstant allat L lar toperpendicu is

dt

Ld)a

b) The component of L in the direction of A doesnot change with time

c) the magnitude of L doesnot change with time

d) L doesnot change with time 99. A particle is acted upon by a force of constant magnitude which always remains

perpendicular to the velocity of the particle. If the particle moves in a horizontal plane, then

a) It takes a circular path b) Its kinetic energy remains constnat c) its acceleration remains constant d) its velocity remains constant

100. A thin ring of mass M and radius r is rotating aout its axis with a constant angular

velocity ω. Two particles each of mass m are placed gently to the opposite ends of a diameter of the ring. The new angular velocity of the ring will be



a) mM

M

+ω

b)

( )m2M

m2M

+−ω

c) m2M

M

+ω

d)

( )M

m2M +ω

101. A mass of 2 kg is whirled in a horizontal circle by means of a stringat an initial speed of 5

revolutions per minute. Keeping trhe radius constant the tension in the string is doubled. the new speed is nearly

a) 14 rpm b) 10 rpm c) 2.25 rpm d) 7 rpm 102. A circular turntable has a block of ice placed at its centre.The system rotates an angular

speed ωabout an axis passing through a center of table. If the ice melts, on its own, without without any evaporation, the speed of rotation off the system

a) Becomes zero b) Remains constant at the same value ω c) increase to the value greater than ω d) decrease to the value less than ω

103. A bicycle is in motion. The frictional force exerted by grund on the two wheel acts

a) backwards on th front wheel and forwards on the rear wheel b) forwards on th front wheel and backwards on the rear wheel c) backwards on both wheel d) forwards on both wheel

104. The centripetal force required to keep a body in uniform circular motion depends on its

a) Mass only b) speed only c) radius of the path d) All of these

GRAVITATION 1. The escape velocity of a planet having mass 6 times and radius 2 times as that of the earth

is

a) 2 Ve b) 3 Ve c) 3Ve d) 2 Ve 2. The escape volocity of a sphere of mass m is given by (G= universal gas constant; M=

Mass of the earth and Re= radius of the earth)

a) eR

GM

b) eR

GM2

c) eR

GMm2

d) e

e

R

RGM2 +

3. The mean rradius of the earth is R, angular speed on its own axis is ω and the

acceleration due to gravity at the earth's susrface is g. The cube of radius of orbit of a geostationary satellite will be

a) ωgR2

b) gR 22ω

c) 2

Rg

ω d) 2

2gR

ω 4. If the radius of the earth were to shrink by 1% its mass remaining the same, the



acceleration due to gravity on the earth's surface would a) decrease by 1% b) remain unchanged c) increase by 1% d) increase by 2%

5. Gravitational mass is proportional to gravitational

a) felid b) force c) intensity d) All of these 6. The mass of moon is 7.34 x 1022 kg. If the acceleration due to gravity on the moon is 1.4

m/s2, the radius of the moon is (G= 6.667 x 10-11 N m2 kg2) a) 0.56 x 106m b) 1.86 x 106m c) 1.92 x 106m d) 1.01 x 108m

7. If the radius of earth's orbit is made 1/4th , the duratio of an year will becomes

a) 8 times b) 4 times c) 1/8 times d) 1/4 times 8. Two satellites are moving in orbots, R1> R2; then the velocities associated with them is

a) V1 < V2 b) V1 > V2 c) V1 = V2 d) V1 = 2V2 9. If R is the radius of a planet, g is the acceleration due to gravity, then the mean density of

the planet is given by

a) GR4

g3

π b) g3GR4π

c) G3

gR4π

d) gR4G3

π 10. The dimensional formula for the universal gravitational constant is

a) M0L0T0 b) M-1L0T-2 c) M-1L2T-2 d) M-1L3T-2 11. The length of a simple pendulum for a given time period is l. If the plendulum is taken to

a place where acceleration due to gravity is doubled, then for the me period t remain the same its length should be

a) 2l b) l c) l/2 d) l/4 12. Which of the following cannot measure time in a spaceship orbitint around the earth?

a) Atomic watch b) Pendulum clock c) A watch using elastic vibration d) A watch using electric oscillations.

13. If the density of the eatrh is doubled keping it radius constant then acceleration dutr to

gravity (g= 9.8m/s) will be a) 2.45 ms-1 b) 4.9 ms-1 c) 9.8 ms-1 d) 19.6 ms-1

14. The average magnitude kof intensity of the fravitational feild on the surface of the earth

isn SI unit is about a) zero b) 10 c) 100 d) more than 100

15. If the mass and radius of a planet are doubled, then acceleration due to gravity on its

surface will become a) one fourth b) one half c) double d) four times



16. Where is the intnesity of the gravitational feild of the earth maximum? a) Centre of the earth b) Equator c) poles d) same every where

18. Gravitation is a universal force. However, when we stand near a wall, we are not pulled by the wall because

a) wall has large area b) the wall is at small distance c) flat surfaces do not exert gravitation. d) The gravitation due to wall is negligible as compared to that of the earth.

19. The gravitational foece of earth on a ball of mass one kilogram is 9.8 N. The attraction of

ball on the earth is a) 9.8 N b) negligible c) slightly less than 9.8 N d) more than 9.8 N

20. IF the gravitational mass of a body on the moon be denoted by Mm and that on the earth

by Me, then a) Mm =1/6 Me b) Mm = Me c) Mm = Me

1/2 d) Mm = 6 Me 21. Gravitational mass is

a) gravitational force exerted by the body b) gravitational force experienced by the body c) measure of gravitational force experienced by the body d) measure of neither gravitational force exerted nor experienced by the body

22. Which of the following statements about the gravitational constan is true?

a) It has no units b) it has same value in all system of units c) it is a force d) it does not depend upon the nature of medium in which the bodies lie

23. The gravity is measured in

a) N b) kg c) N kg-1 d) N kg-2 m2 24. The gravitational constant depends upon

a) size of the body b) gravitational mass c) distance between the bodies d) None of these factor

25. The acceleration due to gravity(on earth) depends upon. a) size of the body b) gravitational mass of the body c) gravitational mass of the

earth d) None of these 26. If the earth stops rotating in its orbit about the sum, there will be variation in the weight

of eh bodies at a) equator b) latitude 60o c) poles d)Nowhere

27. If the radius of the earth decreases by 10% the mass remaining unchanged, what will

happen to the acceleration due to gravity? a) Decrease by 19% b) increase by 19% c) Decrease by more than 19% d) increase by more than 19%



28. Gravitational attraction betweeen two weights 1 kg each separated by 1 m will be a) 6.67 x10-9 N b)6.67 x10-11 N c) 6.67 x10-13 N d) zero

29. Gravitational attraction of earth on a stone of mass M is Fs. That on a hydrogen balloon

of mass M located at the same place of FH. Which of the following statements is true?

a) Hs FFρρ

= b) Hs FFρρ

−= c) Hs FFρρ⟩ d) Hs FF

ρρ⟨

30. The mass of a planet is doubled and its radius is half as compared to that of earth.

Assuming g= 10 m/s2on earth, the acceleration due to gravity at the planet will be a) 40 ms-2 b) 20 ms-2 c) l0 ms-2 d) None of these

31. If one goes from the center of the earth to an altitude half the radus of earth, where will

be the g be greater. a) Centre of the earth b) At a depth half the the radius of the earth c) At the surface of the earth d) at an altitude equal to half the radius of the earth

32. Let gpbe the acceleration due to gravity at the poles and ge be at the equator. Assuming

earth to be a sphere of radius R,rotating about its axis with angular speed ω, the gp - ge is given by

a) ω2/R b)Rω2 c)R2ω2 d) ω2/R2 33. An elevator is rising vertically with an accelertion a. The forces exerted by a body of

mass M on the floor of the elevator is a) Mg b) Ma c) Mg + Ma d) Mg - Ma

34. The gravitational effect of which of the following causes tidal waves in the sea?

a) earth b) moon c) sun d) none of these 35. A man is carrying a load equal to his own weight (W) on his head. If he jumps from roof

of a building, during his fall, the weight experienced by the man will be a) zero b) W c) 2W d) none of these

36. A boy is playing on a swing in sitting position. The time period of oscillation of the

swing is T.If the boy stands up, the time period of oscillation of the spring will be a) T b) less than T c)more than T d) such as cannot be predicted

37. Which of the following statements about the variation of gravitational feild or strength of

the earth is true? a) It increases when we go above the surface of the earth b) It increases when we go below the surface of the earth c) Itsmagnitudeis maximum at the surface of the earth d) none of above statement is true

38. Suppose, the gravitational attraction of earth suddenly disappears .Which of the following statements will be true?

a) Weight of the body will become zero but the mass will remain unchanged. b) Weight



of the body will remain unchanged but the mass will become zero . c) Both mass and the weight will be zero d) Neither mass nor the weight will be zero

39. Given that the acceleration due to gravity at a height h is same as that at a depth dbelow

the surface of the earth. if both h and d are smalll as compared to the radius of the earth, then which of the following relation is correct?

a) 2l b) l c) l/2 d) l/4 40. Assuming the earth as a sphere of uniform density, the acceleration due to gravity half a

way towards the centre of the earth will be a) 2l b) l c) l/2 d) l/4

41 A stone ie being weighed with the help of a spring balance suspended from the roof of a

lift starts falling freely, then the reading of the spring balance will be a) 2l b) l c) l/2 d) l/4

42. The mass of abody on the surface of the eartth is 6 kg. If we measure its mass on the

surface of the moon, it will be a) 2l b) l c) l/2 d) l/4

43. An iron ball and a cork ball of the same radius are released from the same height in

vaccum. Both of them reach the ground simultaneously. Which of the following is the correct explanation of the phemomenon?

a) 2l b) l c) l/2 d) l/4 44. A clock S works on the oscillation of a spring. Another clcok P words on the oscillations

of pendulum. Both the clocks keekp correct time on the earth. What will happen if they are taken to the moon

a) 2l b) l c) l/2 d) l/4 45. An iron sphere and an aluminium sphere both of same radius are dropped from the top of

a tower 100 m high. At a heigth 40 m above the ground both of them will have same 46. A body of mass M is taken from the surface of the earth to a height equal to the radius

(R) of the earth. The change in gravitational potential energy is 47. The unit of gravitational potential is 48. Suppose, the earth were a hollow sphere. What will be the intensity of gravitaional feild

inside it in the empty space? 49. two identical copper spheres each of radius kare in contact with each other. If the

gravitational attraction between them is R, then which of the relation is correct? 50. Moon has no atmosphere because 51. The variation in the speed of the planet in their orbits about the sun can be explained on

the basis of the conservation of 52. If T be the time taken by a plane to complete the orbit about the sun and R is the mean

distance betwwwn the planet and the sun, then what is the relation between T and R? 53. The relation between the time period and mean radius of a orbit of a planer about the Sun

is given by



54. A stationary kinetic energy of a satellite of planet orbits at 55. At what angle with the horizontal should a projectile be fired with the escape velocity to

enable it escape from gravitational pull of the earth? 56. A ball is thrown parallel to the surface of the earth from the top of Mount Everest, with a

velocity more than the escape velocity. What will happen to it?It will 57. The orbital velocity for a stationarysatelite of the earthis about 3.08 kms-1.For the satellite

That revolves round the earth very near to its surface, the orbital velocity should be 58. Escape velocity of the air molecules from the surface of the earth is 59. The gravitational mass of a body on the earth is M. The inertial mass of the same body on

th moon will be 60. For a satellite to revolve very near to the surface of the earth, the orbital velocity should

be about 61. The orbital velocity of a satellite at a height R above the surface of the earth is ϑ. What

will be the value of escape velocity from the same location? 62. The orbital velocity of a satellite at a height h above the surface of the earth is 90% of

that near the surface of the earth. If the escape velocity at the surface of the earth be ϑ,then value at the height h will be?

63. Which of the following is independent of tha nass of the earth? 64. The kinetic energy of a satellite in its orbit around the earht is E. Wha shoukd be the

kinetic energy of a satellite so as th enable it escape form the gravitaitonal pull of the earth?

65. Peiod of revolution of a satellite in its own orbit of radius r around the erath is T. The peiod of revolultion of the satellite in a circular orbit of radius 4r will be

66. Whhich of the following is bnot true for stationery satellite of earth? 67. To put in orbit, the satellite shoukd be fired as a projectile with 68. A planet is revolving in an ellepticall orbit about the sun its colsest distance form the sun

is r and the fatrhest distance is R. If the orbita velocity of the planet nearese to the sun be vand that fatrhest awa from the sun be V, then v/V is

69. Two satellites of masses M1and M2are revolving around the earth in circular orbits of radii r1and r2. The ratio of their speed v1/v2 is

70. A pendulum neats second on the earth. Its time period on a stationary satellite of the earth will be

71. The ratio of the radii iof the planets P1 and P2 is k. The ratio of the accelerationn due to gravity on them is r. The ratio of the escape velocities from them will be

72. A satellite of mass M is orbitibg round the earth at a height equal to the radius of the earth (R). Its potential energy is given by

73. The kinetic energy of a satellite of mass m orbiting at a a height equal to the radius of the earth (R) is given by

74. Two satellite are in the parking orbits around the earth. Mass of one is 10 times that of the other. The ratio of their periods of revolution is

75. A satellite is orbiting round the earth with a period T. If the earth suddnly shrinks to half its radius without change in mass, the period of revolution of the satellite will be

76. As the radius of the sarellite increases, its time period 77. An astronaut orbiting in a spaceship around the earth just drops a coin. The coin will

move 78. Suppose, there is planet orbitibg about the sun at a distance 4 times the present distance



of the earth. What will be the duration of the year of the planetr in terms of the year on the earth

79. What causes the tail of the comet? 80. The plane of the elliptical orbital of the satellite passes through 81. The synchronous satellite of the earth orbits form 82. Given that the masses of the earth is M and its radius is R. A body is dropped from a

height equal to the radius of the earth above the surface of the earth. When it reaches the ground, its velocity will be

83. A projectile is fired vertically upwards. IT escapes from the earth, when fired with velocity v.If it is to be fired at 45oto the horizontal. What shoukd be its velocity to enable it escape from the gravitational pull of the earth?

84. A satellite revolves around a planer in an elliptiical orbit of minor and major axis a and b respectively. IF T be the time period of the satellite, then t2 is propotional to

85. The gravitational potential energy of a body at a distance r from the centre of the earth is U. What will be its weight at that location?

86. The gravitational potential energy of a body at a distance r from the centre of the earth is U. What will be its weight at a distance R from the centre of the earth.

87. A satellite is revolving round the earth in a circular orbit 4 times the radius of the parking orbit. What will be the time period of the satellite?

88. A satellite is orbiting round the earth. By what percentage should we increase velocity so as the enable it escape away from the earth?

89. A satellite of mass M is orbiting in an orbit of radius R. Work done by gravity per revolutionon the satellite is given by

90. A satellite is revolving round the sun in a circular orbit with uniform velocity v. If the gravitational force suddnly disappears the velocity of the satellite will be

91. Which of the following statement is wrong about the satellite of the earth? 92. Fig. shows a planet in elliptical orbitaround the sun (S). Where is the kinetic energy of

the planet maximum? 93. A projectile is fired with a velocity less than the escape velocity. What can we say about

the sum of its potentialand kinetic energies? 94. The time period of a satellite in a circular orbit of radius R is T. What will be the time

period if the radius of the orbit is 4R? 95. The mass of the earth is 81 times that of the moon and the radius of the earth is 3.5 times

trhat of the moon. The ratio of the escape velocity on the surface of earth to that on the surface of moon will be

96. The period of revolution of a certain planet in an orbit of radius R is T. Its period of revolution in an orbit of radius 4R will be

97. IF the distance between the earth and the sun were half its present value, the number of days in a year would have been

98. If the earth were to rotate faster thatn irs present speed, the weight of an object will 99. A ssatellite is moving around the earth with speed v in a circular orbit of radius r. If the

orbit radius is decreases by 1%, its speed will

100. If the value of escape velocty on a plane is K

GM

,where K is constant, the radius of the planet will be

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