1. Two spheres each of Radius ?R? and made up of same material are placed in
contact. The gravitational force ofattraction between them is proportional to

1. R4 2. R3 3.R6 4. R2

2. When a moving body suddenly stopped, the frictional force

1. increases 2. reduces to zero 3. remains same 4. cannot identified

3. A body of mass M is placed on a rough inclined plane of inclinationand
coefficient of friction . A force of (mg sin + mg Cos ) is applied in upward
direction along the plane, the acceleration of body is

1. g sin 2. g(sin + cos)

3. g (sin - cos) 4. zero

4. A stationary wheel starts rotating about its own axis at uniform angular
acceleration. The time taken by it to complete 77 rotations is

1. 5.5 sec 2. 7 sec 3. 11 sec 4. 14 sec

5. Four point size bodies each of mass M are fixed at four corners of a light square
frame of side length L. The moment of inertia of the four bodies about an axis
perpendicular to the plane of frame and passing through its centre is

1. 4 ML2 2. ML2 3. 2 ML2 4. ML2

6. Dimensional formula of universal gravitation constant ? G ? is

1. M-1L3T-2 2. M-1L2T-3 3. M-1LT2 4. ML2T-2

7. At what displacement from mean position for a particle in SHM, its P.E. and K.E.
are equal

1. 2. 3. 4. ± A

8. The length of seconds pendulum is 1m . The length of simple pendulum at the
point of intersection of l - T graph and l - T2 graph is

1. 50 cm 2. 252 cm 3. 25 cm 4. 502 cm

9. For a perfect rigid body

a. k = b. c = 0 c. v = 0 d. = 0.5

1. a,b are true 2. b,c are true

3. a,b,c,d are true 3. a,b,c are true

10. of a material is 0.3 . If the tensile strain in a metal wire under some load is
2 x 10-3 . Find the percentage change in its volume.

1. 0.2 2. 0.08 3. 0.05 4. 0.25

11. A solid cylinder rolls down an inclined plane. Its mass is 2kg and radius 0.1 m. If
the length of inclined plane is 4m, what is its rotational kinetic energy, when it
reaches the foot of the plane.

1. 78.4 J 2. 39.2 J 3. 4. 19.6 J

 

 

12. A motorist moves along a circular track at 144 kmph. The angle he should
make with the verticle if the track is 880 m long (g = 10 ms-2)

1. 2. Tan-1(8/7) 3. Tan-1 (7/8) 4.

13. A cyclist moves in a circular track of radius 100m. If the coefficient of friction is
0.2, then the maximum speed with which the cyclist can take a turn without
leaning in wards in is

1. 9.8 2. 1.4 3. 14 4. 1

14. A uniform rod of mass m and length l is suspended through its centre by a light
wire of length l and torsional constant C. The time period of small angular
oscillations about the suspension wire will be

1. 2. 3. 4.

15. The velocities of a body executing SHM at displacements a and b are b and a
respectively its amplitude is

1. (a+b) 2. (a-b) 3. 4.

16. The ratio of earth?s orbital angular momentum (about sun) to its mass is
. The area enclosed by the earths orbit is (approximately.)

1. 1 x 1022 m2 2. 7 x 1022 m2 3. 3 x 1022 m2 4. 5 x 1022 m2

17. A hole is drilled halfway to the centre of the earth. A body weighs 200 N on the
surface of the earth. Its weight at the bottom of the hole is

1. 100 N 2. 150 N 3. 200 N 4. 250 N

18. The two rods of same material, whose radii are in the ratio are
twisted by applying equal torque on them. The ratio of twists produced in the
rods willbe

1. 3 : 1 2. 4 :1 3. 27 : 1 4. 81 :1

19. The end of a wire of length 0.5 m and radius is twisted throgh 0.80 radian.
the shearing strain at the surface of wire will be

1. 1.6 x 10-3 2. 1.6 x 103 3. 16 x 103 4. 16 x 106

20. If a horizontal force equal to 1/3 of the weight of the body can just move a body on

a rough horizontal surface, then is

1. 1/3 2. 2/3 3. 1 4. ½

21. A solid sphere of Radius R made up of material of bulk modulus k is surrounded by a liquid in a cylindrical container. A massless piston of Area ?A? floats on the
surface of the liquid. When a mass ?M? is placed on the piston to compress the
liquid, the fractional change in radius of sphere is

1. Mg 2. Mg 3. 3 Mg 4. 2 Mg

AK 3AK 2 AK 3 AK

22. A solid has a volume of when external pressure is atm. The bulk modulus
of material is B. when pressure increased to ?p?, what is additional energy per
unit volume is now stored in the material

1. 2. 3. 4.

23. A cubical body of side ?a? floats in water. It is pressed and released so that it
oscillates vertically. Then its period of oscillation is (d is relative density of material)

1. 2. 3. 4.

24. The displacement of a particle in S.H.M. is given by sin 1000t.

This expression may be considered to be the resultant superposition of

1. two waves 2. three waves 3. four waves 4. five waves.

25. A body is projected vertically up with a velocity KVe (k<1) and Ve is escape
velocity. If R is radius of earth. The maximum height to which it reaches from
surface of earth.

1) 2) 3) 4)

26. Two satellites s1 and s2 revolve around a planet in circular orbits in the same
sense. Their periods of revolutions are 1 hour and 8 hours respectively. The
radius of orbit is . The speed of relative to when they are closest in kmph is

1. x 104 2. x 102 3. 2 x 106 4. x 10

27. Two identical solid spheres each of mass M and radius R are joined at two ends
of light rod of length 2 R. The moment of Inertia of system about an axis
perpendicular to the legth of rod and passing through centre of mass of two spheres
is

1. 22 MR2 2. 44 MR2 3. 11 MR2 4. 33 MR2

5 5 5 5

28. A small marble of mass m oscillates between two edges inside a hemispherical
glass bowl of radius ?r?. If V is its speed at any position, the thrust on the bowl at
that position is

1. mv 2 2. 2mv2 3. 3 mv2 4. 3 mv2

R R R 2 R

29. A block slides down a rough inclined plane of slope angle q with a constant
velocity. It is then projected up the same plane with initial velocity ?v?. The distance
travelled by the block up the plane before coming to rest is

1) 2) 3) 4)

30. A vehicle of mass M is moving on a rough horizontal road with a momentum P. If
the coefficient of friction between tyres and the road is ??, then the stopping
distance is

1. p2 2. p 3. p2 4. p

2M2g 2Mg 2 Mg g

31. A horizontal spring block system of force constant K and mass M executes SHM
with frequency n and Amplitude A. When the block is passing through its
equilibrium position an object of mass ?m? is put on it and two move together..
The new frequency and amplitude of vibration are.

1) 2)

3) n(M+m),A(M+m) 4)

32. One end of a long metallic wire of length L is tied to the ceiling. The other end is
tied to a mass less spring of spring constant K. A mass m hangs freely from the

free end of the spring. The area of cross section and youngs modulus are A and
Y. If the mas is slightly pulled down and released , it will oscillate with a time
period T equal to

1) 2) 3) 4)

33. Two objects of masses m and 2m are revolving about a vertical axis passing
through their centre of gravity. If d is the distance between them, then the period
of rotation of each particle is

1) 2) 3) 4)

34. A roller of radius 1 m is on horizontal floor in contact with the edge of a step of
height 20 cm. A Horizontal force 2940 N is applied on the roller passing through
its centre by which the roller is just ready to turn on the step. The mass of the
roller is

1. 300 Kg. 2. 400 kg. 3. 600 kg. 4. 800 kg.

35. Moment of Inertia of a solid sphere about its diameter is I. If that sphere is recast
into 8 identical small spheres, then the moment of inertia of a small sphere about
its diameter is

1) 2) 3) 4)

SECTION-A

This section contains Ten multiple choice questions with one correct answer (+1.5 for correct

answer and -0.5 for wrong answer).