A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration ar is varying with time t as krt2,where k is constant. The power delivered to the particle by the force acting on it is

(1)  2πkmr2

(2)  kmr2t

(3)  kmr2t5

(4)  Zero

Subtopic:  Power |
 50%
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A body is under uniform circular motion, its kinetic energy.

1. depends on the direction of velocity.
2. depends on acceleration.
3.  remains unchanged.
4.  all of these.

Subtopic:  Concept of Work |
From NCERT
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Two identical balls of mass 1 kg each moving towards each other with velocities of 3 m/s and 5 m/s respectively. The magnitude of the velocities of respective balls after the perfectly elastic head-on collision is

(1) 3 m/s, 5 m/s

(2) 5 m/s, 3 m/s

(3) 4 m/s, 4 m/s

(4) 6 m/s, 2 m/sIf the two masses are equal

Subtopic:  Collisions |
 90%
From NCERT
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A block of mass m is moving with speed v towards a spring block system. If the collision is perfectly inelastic, then the maximum compression in the spring will be:

                       

1.  vmk

2.  v2mk

3.  mv2k

4.  vm2k

Subtopic:  Collisions |
From NCERT
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A smooth sphere of mass M, moving with velocity u, directly collides elastically with another sphere of mass m at rest. After the collision, their final velocities are V and v, respectively. The value of v is:

1. \(\frac{2 um}{m}\)

2. \(\frac{2 um}{M}\)

3. \(\frac{2 u}{1 + {m \over M}}\)

4. \(\frac{2 u}{1 + {M \over m}}\)

Subtopic:  Collisions |
 71%
From NCERT
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The gravitational field in a region is given by g = 4i^ + 4j^. Work done by this field is zero, when a particle is moved along the line

(1) 3x + 4y = 2

(2) 3x + 3y = 5

(3) x + 3y = 2

(4) 3y + x = 1

Subtopic:  Concept of Work |
 60%
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The ratio of the kinetic energy of a particle projected from the ground at the  highest point to point of projection is 1/4. The angle of projection with horizontal is

(1)  30°

(2)  60°

(3)  45°

(4)  53°

Subtopic:  Work Energy Theorem |
 74%
From NCERT
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A bob is suspended from a peg on a wall by a massless string of length L. If it is given velocity 2gL at the lowest point, then angular amplitude with which body will oscillate is

(1)  60°

(2)  90°

(3)  75°

(4)  30°

Subtopic:  Work Energy Theorem |
 74%
From NCERT
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A bob of a simple pendulum is released from position A. Velocity of the bob when it is at lowest position A is

                                   

(1)  50 m/s

(2)  10 m/s

(3)  5 m/s

(4)  25 m/s

Subtopic:  Work Energy Theorem |
 74%
From NCERT
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A ball is let to fall from a height of 32 m on the ground. The coefficient of restitution is e = 12. The height raised by the ball after the second rebound is

(1)  2 m

(2)  4 m

(3)  8 m

(4)  16 m

Subtopic:  Collisions |
 60%
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