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4. Assertion : Force is required to move a body uniformly along a circle. Reason : When the motion is uniform, acceleration is zero.

(a)        If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)        If...

1. Assertion : Inertia is the property by virtue of which the body is unable to change by itself the state of rest only. Reason : The bodies do not change their state unless acted upon by an unbalanced external force.

Read the assertion and reason carefully to mark the correct option out of the options given below: (a)        If both...

2. Assertion : If the net external force on the body is zero, then its acceleration is zero. Reason : Acceleration does not depend on force.

(a)        If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)        If...

3. Assertion : Newton’s second law of motion gives the measurement of force. Reason : According to Newton’s second law of motion, force is directly proportional to the rate of change of momentum.

(a)        If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)        If...

The gravitational force between two stones of mass 1 kg each separated by a distance of 1 metre in vacuum is

(a)      Zero                   (b)  6.675×10-5  newton (c)   6.675×10-11  newton      (d)   6.675×10-8...

7. Which of the following is the evidence to show that there must be a force acting on earth and directed towards the sun

(a)      Deviation of the falling bodies towards east (b)  Revolution of the earth round the sun (c)   Phenomenon of day...

The atmosphere is held to the earth by

(a)      Winds                                        (b)  Gravity (c)   Clouds                                (d)  None of the above Answer:  b

A satellite of the earth is revolving in a circular orbit with a uniform speed v. If the gravitational force suddenly disappears, the satellite will

(a)      Continue to move with velocity v along the original orbit (b)  Move with a velocity v, tangentially to the...

11. Figures I, II, III and IV depict variation of force with time

Ans. c

6. If the distance between two masses is doubled, the gravitational attraction between them

(a)      Is doubled                                 (b)  Becomes four times (c)   Is reduced to half              (d)  Is reduced to a quarter Answer: d

10. The variation of momentum with time of one of the body in a two body collision is shown in fig. The instantaneous force is maximum corresponding to point

(a)       P (b)   Q (c)   R (d)      S Ans. c

The weight of a body at the centre of the earth is

(a)      Zero (b)  Infinite (c)   Same as on the surface of earth (d)  None of the above Answer: a

If there were a smaller gravitational effect, which of the following forces do you think would alter in some respect

(a)      Viscous forces                           (b)  Archimedes uplift (c)   Electrostatic force            (d)  None of the above Answer:  b

The tidal waves in the sea are primarily due to

(a)      The gravitational effect of the moon on the earth (b)  The gravitational effect of the sun on the earth...

9. A body of mass 3kg is acted on by a force which varies as shown in the graph below. The momentum acquired is given by

(a)       Zero (b)   5 N-s (c)   30 N-s (d)   50 N-s Ans. d               

8. A particle of mass m, initially at rest, is acted upon by a variable force F for a brief interval of time T. It begins to move with a velocity u after the force stops acting. F is shown in the graph as a function of time. The curve is a semicircle.

Ans. c

47. Four particles each of mass m are placed at the corners of a square of side length l. The radius of gyration of the system about an axis perpendicular to the square and passing through its centre is

(a)   l/ √2 (b)   l/2 (c)   l (d)   (√2)l Ans. a

48. The moment of inertia of a rod (length l, mass m) about an axis perpendicular to the length of the rod and passing through a point equidistant from its mid point and one end is

(a)         ml2/12 (b)      7/48 ml2 (c)        13 ml2 (d)     19/48ml2 Ans....

6. Which of the following graph depicts spring constant k versus length l of the spring correctly

Ans.  d

7. A particle of mass m moving with velocity u makes an elastic one dimensional collision with a stationary particle of mass m. They are in contact for a very short time T. Their force of interaction increases from zero to F0 linearly in time T/2, and decreases linearly to zero in further time T/2. The magnitude of F0 is

(a)      mu/T (b)  2mu / T (c)   mu/ 2T (d)   None of these ANS. b

46. A wheel of mass 10 kg has a moment of inertia of 160 kg–m2 about its own axis, the radius of gyration will be

(a)  10 m (b)  8 m                                                  (c)   6 m (d)  4 m Ans. d

45. Moment of inertia of a disc about its own axis is I. Its moment of inertia about a tangential axis in its plane is

(a)   5/2I (b)  3 I                                                    (c)   3/2 I (d)  2 I Ans. a

Assertion : Soft steel can be made red hot by continued hammering on it, but hard steel cannot. Reason : Energy transfer in case of soft iron is large as in hard steel.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

5. A body of 2 kg has an initial speed 5ms–1. A force acts on it for some time in the direction of motion. The force time graph is shown in figure. The final speed of the body.

Ans. c

Assertion : Mountain roads rarely go straight up the slope. Reason : Slope of mountains are large therefore more chances of vehicle to slip from roads.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

44. The moment of inertia of semicircular ring about its centre is

(a)       MR2 (b)     MR2/2 (c)      MR2/4 (d)     None of these Ans. a

4. Figure shows the displacement of a particle going along the X-axis as a function of time. The force acting on the particle is zero in the region

(a)  AB (b)   BC (c)   CD (d)   DE ANS. a, c

Assertion : A work done in moving a body over a closed loop is zero for every force in nature. Reason : Work done does not depend on nature of force.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

43. A circular disc is to be made by using iron and aluminium, so that it acquires maximum moment of inertia about its geometrical axis. It is possible with

(a)    Iron and aluminium layers in alternate order (b)  Aluminium at interior and iron surrounding it (c)   Iron at...

Assertion : Power of machine gun is determined by both, the number of bullet fired per second and kinetic energy of bullets. Reason : Power of any machine is defined as work done (by it) per unit time.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

42. Two discs of the same material and thickness have radii 0.2 m and 0.6 m. Their moments of inertia about their axes will be in the ratio

(a)  1 :  81 (b)  1 : 27 (c)   1 :  9 (d)  1 :  3 Ans. a

3. The force-time (F – t) curve of a particle executing linear motion is as shown in the figure. The momentum acquired by the particle in time interval from zero to 8 second will be

Ans. d

The moment of inertia of a meter scale of mass 0.6 kg about an axis perpendicular to the scale and  located at the 20 cm position on the scale in kg m square is  (Breadth of the scale is negligible)

(a)  0.074 (b)  0.104 (c)   0.148 (d)  0.208 Ans. b

Assertion : In case of bullet fired from gun, the ratio of kinetic energy of gun and bullet is equal to ratio of mass of bullet and gun. Reason : In firing, momentum is conserved.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

2. In the figure given below, the position-time graph of a particle of mass 0.1 Kg is shown. The impulse at is

Ans. b

A circular disc of radius R and thickness R/6  has moment of inertia I about an axis passing through its centre and perpendicular to its plane.  It is melted and recasted into a solid sphere.  The moment of inertia of the sphere about its diameter as axis of rotation is

(a)    I (b)  2I/8 (c)   I/5 (d)   I/10 Ans. c

Assertion : If two protons are brought near one another, the potential energy of the system will increase. Reason                    :   The charge on the proton is .+1.6×10-19C

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

A particle which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as  F(x)= -kx+ax3 . Here k and a are positive constants. For  x ≥ 0 , the functional from of the potential energy U(x)  of the particle is

Answer:d  

A uniform cube of side a and mass m rests on a rough horizontal table. A horizontal force F is applied normal to one of the faces at a point that is directly above the centre of the face, at a height 3a/4 above the base. The minimum value of F for which the cube begins to tilt about the edge is (assume that the cube does not slide)

(a)     mg/4 (b)   2mg/3 (c)  3mg/4 (d)     mg Ans. b

38. Weights of 1g,2g,……..100g are suspended from the 1 cm, 2 cm, …… 100 cm, marks respectively of a light metre scale. Where should it be supported for the system to be in equilibrium

(a)           55 cm mark (b)          60 cm mark (c)           66 cm mark (d)          72 cm mark Ans. c

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