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Question

# Assertion :When the momentum of a body is doubled, its kinetic energy increases by 300%. Reason: Kinetic energy = p22m, where p is momentum of the body.

A
If both assertion and reason are CORRECT and reason is the CORRECT explanation of the assertion.
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B
If both assertion and reason are CORRECT, but reason is NOT THE CORRECT explanation of the assertion.
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C
If assertion is CORRECT, but reason is INCORRECT.
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D
If assert:an is INCORRECT, but reason is CORRECT.
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Solution

## The correct option is A If both assertion and reason are CORRECT and reason is the CORRECT explanation of the assertion.Kinetic energy, K=p22mWhen momentum p is doubled, the kinetic energy becomes K′=(2p)22m=4KThis, increase in kinetic energy K′−KK×100=4K−KK×100=300%

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