1) According to Einstein’s theory, mass and energy are related as
(a) E = m/c
(b) E = mc2
(c) E = mc
(d) E = m/c2
2) A body starts from rest and travels with uniform acceleration a to make a displacement of 6 m . If its velocity after making the displacement is 6 m / s , then its uniform acceleration a is
( a ) 6 m / s²
( b ) 2 m / s²
( c ) 3 m / s²
( d ) 4 m / s²
3 . Which one of the following is the unit of acceleration ?
( a ) m / s
( b ) m / s²
( c ) km / hr
( d ) cm / s
4)
The angular velocity depends upon the rate of change of the?
(a) Angular acceleration
(b) Angular Distance.
(c) Angular Displacement.
(d) torque
5)
A small body attached at the end of an inextensible string completes a vertical circle, then its
(a) angular momentum remains constant
(b) linear momentum remains constant
(c) angular velocity remains constant
(d) total mechanical energy remains constant
6) The path of a particle is given by the expression y = at + bt², where a and b are constants . Y is the displacement at time t. Its velocity at any instant is given by
(a) a + 2bt
(b) zero
(c) 2bt
(d) at
7) A car is moving with a speed of 30 m/s on a circular path of radius 500 m. Its speed is increasing at the rate of 2 m/s². The acceleration of the car is
(a) 2 m/s²
(b) 9.8 m/s²
(c) 1.8 m/2
(d) 2.7 m/s²
8) A particle of mass 0.3 kg is subjected to a force F = -kx with k = 15 N/m. What will be its initial acceleration if it is released from a point 20 cm away from the origin?
(a) 15 m/s²
(b) 3 m/s²
(c) 10 m/s²
(d) 5 m/s²
9) Two masses 1 g and 4 g are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is
(a) 4 : 1
(b) 1 : 2
(c) 0 : 1
(d) 1 : 6
10) A body of mass 100 kg falls from a height of 10 m. Its increase in kinetic energy is
(a) 9800 J
(b) 1000 J
(c) 5000 J
(d) 3000 J
11) A body of mass 20 kg is initially at a height of 3 m above the ground. It is lifted to a height of 2 m from that position. Its increase in potential energy is
(a) 100 J
(b) 392 J
(c) 60 J
(d) -100 J
12)
A body of mass 10 kg is moved parallel to the ground, through a distance of 2 m. The work done against gravitational force is
(a) 196 J
(b) -196 J
(c) 20 J
(d) zero
13) missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energy is
(a) Positive
(b) Negative
(c) Zero
(d) may be positive or negative
14)
What would be the duration of the year if the distance between the earth and the sun gets doubled?
(a) 1032 days
(b) 129 days
(c) 365 days
(d) 730 days
15) A body of M.I. 3 kg m² rotating with an angular velocity 2 rad/s has the same K.E. as a mass of 12 kg moving with a velocity of
(a) 1 m/s
(b) 2 m/s
(c) 4 m/s
(d) 8 m/s
16)
A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is
(a) L/2
(b) L/4
(c) 2 L
(d) 4 L
17) Moment of inertia depends on
(a) Distribution of particles
(b) Mass
(c) Position of axis of rotation
(d) All of these
18)
Calculate the M.I. of a thin uniform ring about an axis tangent to the ring and in a plane of the ring, if its M.I. about an axis passing through the centre and perpendicular to plane is 4 kg m².
(a) 12 kg m²
(b) 3 kg m²
(c) 6 kg m²
(d) 9 kg m²
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