CBSE  /  Class 11  /  Physics  /  System of Particles and Rotational Motion

  • 1. 
    A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same, which one of the following will not be affected?

  • Moment of inertia
  • Angular momentum
  • Angular velocity
  • Rotational kinetic energy

  • 2. 
    A particle moves on a circular path with decreasing speed. Choose the correct statement.

  • Angular momentum remains constant.
  • Acceleration is towards the centre.
  • Particle moves on a spiral path with decreasing radius.
  • The direction of angular momentum remains constant.

  • 3. 
    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

  • 1 m/s
  • 2 m/s
  • 4 m/s
  • 8 m/s

  • 4. 
    A hollow cylinder and a solid cylinder having different mass diameter are released from rest simultaneously from the of an inclined plane. Which will reach the bottom first?

  • solid cylinder
  • cant be determined without knowing their masses
  • hollow cylinder
  • cant be determined without knowing their diameters

  • 5. 
    Which is the wrong relation from the following?

  • t = I a
  • F = ma
  • L = I w
  • I = t a

  • 6. 
    If I, a and t are the moment of inertia, angular acceleration and torque respectively of a body rotating about any axis with angular velocity w, then

  • t = Ia
  • t = Iw
  • I = tw
  • a = Iw

  • 7. 
    A dancer on ice spins faster when she folds here arms. This is due to

  • Increases in energy and increase in angular momentum
  • Decrease in friction at the skates
  • Constant angular momentum and increase in kinetic energy
  • Increase in energy an decreases in angular momentum

  • 8. 
    The moment of inertia of a uniform semicircular disc of mass M and radius about a line perpendicular to the plane of the disc through the centre is

  • (2/5) Mr²
  • (1/4) Mr power 2
  • (1/2) Mr²
  • Mr²

  • 9. 
    A particle moves for 20 s with velocity 3 m/s and then moves with velocity 4 m/s for another 20 s and finally moves with velocity 5 m/s for next 20 s. what is the average velocity of the particle?

  • 3 m/s
  • 4 m/s
  • 5 m/s
  • Zero

  • 10. 
    For increasing the angular velocity of an object by 10%, the kinetic energy has to be increased by

  • 40%
  • 20%
  • 10%
  • 21%
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