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May 2022

Home2022MayPage 43

The graph between the resistive force F acting on a body and the distance covered by the body is shown in the figure. The mass of the body is 25 kg and initial velocity is 2 m/s. When the distance covered by the body is 4m, its kinetic energy would be

(a)      50 J (b)  40 J                                     (c)   20 J (d)  10 J Answer:d (11)

31. For a system to be in equilibrium, the torques acting on it must balance. This is true only if the torques are taken about

(a)  The centre of the system (b)  The centre of mass of the system (c)   Any point on the system...

A batsman hits a sixer and the ball touches the ground outside the cricket ground. Which of the following graph describes the variation of the cricket ball’s vertical velocity v with time  between the time t1 as it hits the bat and time t2 when it touches the ground       

Answer: c (21)

9. Two forces are such that the sum of their magnitudes is 18 N and their resultant is perpendicular to the smaller force and magnitude of resultant is 12 N. Then the magnitudes of the forces are

(a)  12 N, 6 N                            (b)  13 N, 5N (c)   10 N, 8 N                            (d)  16 N, 2 N Ans....

11. Which of the following sets of concurrent forces may be in equilibrium

(a) F1  3N, F2  = 5N, F3 = 9N (b) F1  3N, F2  = 5N, F3 = 9N (c)  F1 ...

The relationship between force and position is shown in the figure given (in one dimensional case). The work done by the force in displacing a body from x = 1 cm to x = 5 cm is

(a) 20 ergs (b) 60 ergs (c)  70 ergs (d) 700 ergs Answer: a (21)

7. The resultant of two forces and is R. If the first force is doubled then the resultant is also doubled. The angle between the two forces is

(a) 60  °                                   ...

The pointer reading v/s load graph for a spring balance is as given in the figure. The spring constant is

(a)  0.1 kg/cm (b)  5 kg/cm (c)   0.3 kg/cm (d)  1 kg/cm Answer: a (8)

30. A couple produces

(a)       Purely linear motion (b)  Purely rotational motion (c)   Linear and rotational motion (d)  No motion Ans. b (8)

8. The resultant of two forces, one double the other in magnitude, is perpendicular to the smaller of the two forces. The angle between the two forces is

(a)       60°                              (b) 120°...

6. The resultant force of 5 N and 10 N can not be

(a)  12 N                                   (b)  8 N (c)   4 N                                      (d)  5 N Ans. c (14)

5. An object is subjected to a force in the north-east direction. To balance this force, a second force should be applied in the direction

(a)      North-East                                (b)  South (c)   South-West                       (d)  West Ans. c (42)

4. A force-time graph for a linear motion is shown in figure where the segments are circular. The linear momentum gained between zero and 8 second is

(a)  -2π newton×second        (b) Zero newton×second (c)  +4π newton×second       (d)  -6π newton×second Answer: b (11)

26. When a ceiling fan is switched on, it makes 10 rotations in the first 3 seconds. How many rotations will it make in the next 3 seconds (Assume uniform angular acceleration)

(a)           10 (b)          20 (c)           30 (d)          40 Ans. c (13)

1. The weight of an aeroplane flying in the air is balanced by

(a)      Vertical component of the thrust created by air currents striking the lower surface of the wings (b)  Force due...

2. When a body is stationary

(a)      There is no force acting on it (b)  The force acting on it is not in contact with it...

A 10kg mass moves along x-axis. Its acceleration as a function of its position is shown in the figure. What is the total work done on the mass by the force as the mass moves from x=0 to x=8 cm

(a)    8×10-2  joules (b)   16×10-2  joules (c)    4 ×10-4   joules (d)     1.6 ×10-3   joules Answer: A (27)

3. Two forces of magnitude F have a resultant of the same magnitude F. The angle between the two forces is

(a)      45° (b)                                      120° (c)   150°                                   (d)  60° Ans . b (10)

Adjacent figure shows the force-displacement graph of a moving body, the work done in displacing body from x =0 to x=35 m is equal to

(a)  50 J                                     (b)  25 J (c)   287.5 J                          (d)  200 J Answer:c (16)

4. Two forces with equal magnitudes F act on a body and the magnitude of the resultant force is F/3. The angle between the two forces is

(a)       c0s -1 (-17/18)                           (b) cos -1 (-1/3) (c)    cos -1...

Let F be the force acting on a particle having position vector r vector and T vector be the torque of this force about the origin.  Then

(a) r vector X T vector=0  and F vector X T vector =0 (b) r vector X T vector =...

28. Let A vector be a unit vector along the axis of rotation of a purely rotating body and B vector  be a unit vector along the velocity of a particle P of the body away from the axis. The value of A vector X B vector is

(a)           1 (b)          – 1 (c)           0 (d)          None of these Ans. c (9)

A toy car of mass 5 kg moves up a ramp under the influence of force F plotted against displacement x. The maximum height attained is given by

(a)        ymax=20m (b)      ymax= 15m (c)      ymax= 11m (d)    ymax = 5m...

27. When a ceiling fan is switched off, its angular velocity falls to half while it makes 36 rotations. How many more rotations will it make before coming to rest (Assume uniform angular retardation)

(a)       36 (b)     24 (c)     18 (d)     12 Ans. d (17)

27. A jet engine works on the principle of

(a)      Conservation of mass (b)  Conservation of energy (c)   Conservation of linear momentum (d)  Conservation of angular momentum Ans. c...

25. A rigid body is rotating with variable angular velocity (a-bt) at any instant of time t. The total angle subtended by it before coming to rest will be (a and b are constants)

(a)    (a-b)a/2 (b)   a2/2b (c)   a2-b2/2b (d)  a2-b2/2a Ans. b (15)

26. At a certain instant of time the mass of a rocket going up vertically is 100 kg. If it is ejecting 5 kg of gas per second at a speed of 400 m/s, the acceleration of the rocket would be (taking   g = 10 m/s ^2

(a)   20m/s 2                                    ...

25. A rocket can go vertically upwards in earth’s atmosphere because

a) It is lighter than air (b)  Of gravitational pull of the sun (c)   It has a fan which displaces...

24. A bullet mass 10 gm is fired from a gun of mass 1kg. If the recoil velocity is 5 m/s, the velocity of the muzzle is

(a)      0.05 m/s                                   (b)  5 m/s (c)   50 m/s                               (d)  500 m/s Ans. d (5)

24. A sphere is rotating about a diameter

(a)   The particles on the surface of the sphere do not have any linear acceleration (b)  The particles on the...

23. A bullet of mass 0.1 kg is fired with a speed of 100 m/sec, the mass of gun is 50 kg. The velocity of recoil is

(a)  0.2 m/sec                          (b)  0.1 m/sec (c)   0.5 m/sec                          (d)  0.05 m/sec Ans. a (13)

23. The planes of two rigid discs are perpendicular to each other. They are rotating about their axes. If their angular velocities are 3 rad/sec and 4 rad/sec respectively, then the resultant angular velocity of the system would be

(a)           1 rad/sec (b)          7 rad/sec (c)           5 rad/sec (d)         √12 rad/sec Ans. c (687)

A bullet is fired from a gun. The force on the bullet is given by f =  600- 2 x 10 5 t where F is in newtons and t in seconds. The force on the bullet becomes zero as soon as it leaves the barrel. What is the average impulse imparted to the bullet

(a)  9 Ns                                    (b)  Zero (c)   0.9 Ns                                 (d)  1.8 Ns ans. c (26)

21. A body of mass 0.25 kg is projected with muzzle velocity 100ms ^-1 from a tank of mass 100 kg. What is the recoil velocity of the tank

(a)  5 ms -1                               (b) 25ms -1...

22. A particle starts rotating from rest. Its angular displacement is expressed by the following equationθ =0.025t square-0.1t where θ is in radian and t is in seconds. The angular acceleration of the particle is 

(a)   0.5 rad/sec2 at the end of 10 sec (b)     0.3 rad/sec2 at the end of 2 sec (c)  ...

A set of n identical cubical blocks lies at rest parallel to each other along a line on a smooth horizontal surface. The separation between the near surfaces of any two adjacent blocks is L. The block at one end is given a speed v towards the next one at time t=0 . All collisions are completely inelastic, then

(a)      The last block starts moving at  t=(n-1)L/v (b)  The last block starts moving at  t=n(n-1)L/2v (c)   The centre of...

A particle P moving with speed v undergoes a head -on elastic collision with another particle Q of identical mass but at rest. After the collision

(a)  Both P and Q move forward with speed  v/2 (b)  Both P and Q move forward with speed  v/√2...

A body of mass m moving with velocity v collides head on with another body of mass 2m which is initially at rest. The ratio of K.E. of colliding body before and after collision will be

(a)  1 : 1                                    (b)  2 : 1 (c)   4 : 1                                    (d)  9 : 1 Answer: d (8)

Consider elastic collision of a particle of mass m moving with a velocity u with another particle of the same mass at rest. After the collision the projectile and the struck particle move in directions making angles  θ1 and  θ2 respectively with the initial direction of motion. The sum of the angles  θ1+θ2, is

(a)  45°                                     (b)  90° (c)  135°                                   (d)  180° Answer:b (9)

Two particles of masses  m1  and  m2  in projectile motion have velocities

(a)  Zero                          (b) (m1+m2)gt0 (c) 2(m1+m2)gt0     ...

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