Q.

Two marbles, A and B, lie on a smooth horizontal circular groove at opposite ends of a diameter. A is projected along the grove and at the end of time t impinges on B. The coefficient of restitution is ‘e’. The time interval between first and second collision is

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a

t

b

t/e

c

2t/e

d

2t

answer is C.

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Detailed Solution

Final relative velocity = -e initial relative velocity∴t1=2πrev=2te
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Two marbles, A and B, lie on a smooth horizontal circular groove at opposite ends of a diameter. A is projected along the grove and at the end of time t impinges on B. The coefficient of restitution is ‘e’. The time interval between first and second collision is