AIIMS2014PhysicsRotational Motion
Assertion: The velocity of a body at the bottom of an inclined plane of given height is more when it slides down the plane compared to when it is rolling down the same plane. Reason: In rolling down, a body acquires both kinetic energy of translation and rotation.
Options
- AIf both assertion and reason are true and reason is the correct explanation of assertion.
- BIf both assertion and reason are true but reason is not the correct explanation of assertion.
- CIf assertion is true but reason is false.
- DIf both assertion and reason are false.
Correct answer
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
Step-by-step solution
When a body slides, its entire PE is converted into KE of translation. But when it rolls down, some part of its PE is converted into its KE of rotation, thereby reducing its KE of translation and hence its linear velocity.