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Question: Answered & Verified by Expert
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.
PhysicsRotational MotionAIIMSAIIMS 2014
Options:
  • A If both assertion and reason are true and reason is the correct explanation of assertion.
  • B If both assertion and reason are true but reason is not the correct explanation of assertion.
  • C If assertion is true but reason is false.
  • D If both assertion and reason are false.
Solution:
1278 Upvotes Verified Answer
The correct answer is: If both assertion and reason are true but reason is not the correct explanation of assertion.
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 $\mathrm{KE}$ of rotation, thereby reducing its $\mathrm{KE}$ of translation and hence its linear velocity.

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