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Question

Assertion (A) : When a body moving with certain velocity collides with another body of same mass at rest, the collision being perfectly elastic head on collision, 100% of its K.E is transferred to the latter
Reason (R) : Both momentum and K.E are conserved in the case of perfectly elastic collision

A
Both Assertion (A) and Reason (R) are correct and R is the correct explanation
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B
Both Assertion (A) and Reason (R) are correct but the reason does not give the correct explanation
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C
A is true but R is false
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D
A is false but R is true
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Solution

The correct option is A Both Assertion (A) and Reason (R) are correct and R is the correct explanation
If a body moving with certain velocity collides with another body of same mass at rest, the collision being perfectly elastic head on collision. then by solving the equations of conservation of momentum and elastic collision, the 2nd particle moves with the same velocity as the earlier velocity of 1st particle and first one comes to rest. Hence, 100% K.E. is transferred and K.E. is also conserved.

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