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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.

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a

If both assertion and reason are true and reason is a true 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.

answer is A.

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Detailed Solution

In sliding down, the entire potential energy is converted into kinetic energy. While in rolling down same part of potential energy is converted into K.E. of rotation, therefore linear velocity acquired is less in rolling down.

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