1. The units of M (mass) and L (length) are doubled. The unit of kinetic energy will increase by a factor of
(A) 16 (B) 8
(C) 4 (D) 2
2. The dimensions of the quantities in one of the following pairs are the same, identify the pair.
(A) Torque and force (B) Angular momentum and work
(C) Light year and wavelength (D) Energy and Young’s modulus
3. The distances travelled by a body freely falling from rest in first, second and third seconds are in the ratio
(A) 1 : 4 : 9 (B) 1 : 3 : 5
(C) 1 : 2 : 3 (D) 3 : 2 : 1
4. At what angle should the two forces 2P and v2P act so that the resultant force is P v10.
(A) 45º (B) 60º
(C) 90º (D) 120º
5. At the top of the trajectory of a projectile, the directions of its velocity and acceleration are
(A) parallel to each other (B) anti-parallel to each other
(C) inclined to each other at an angle of 45º (D) prependicular to each other
6. A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that
(A) its velocity is constant (B) its acceleration is constant
(C) its kinetic energy is constant (D) it moves in a straight line
7. A 15 g bullet is fired horizontally into a 3 kg block of wood suspended by a long cord. The bullet sticks the block. If the impact causes the block to swing 10 cm above its initial level, the velocity of the bullet was
(A) 251 m s–1 (B) 261 m s–1
(C) 271 m s–1 (D) 281 m s–1
8. The two cars C1 and C2 are going around concentric circles of radii r1 and r2. They complete the circular paths in same time. The ratio of the speeds of C1 and C2 is
(A) r2/r1 (B) r1/r2
(C) 1 (D) can not be found
9. If the kinetic energy of a body becomes four times of its initial value, then the new momentum will be
(A) double (B) three times
(C) four times (D) unchanged
10. In the elastic collision of heavy vehicle moving with a velocity of 10 m/s and a small stone at rest, the stone will fly away with a velocity of
(A) 5 m/s (B) 10 m/s
(C) 20 m/s (D) 40 m/s