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Two identical spheres A, B are in a smoo...

Two identical spheres A, B are in a smooth horizontal circular smooth groove at opposite ends of a diameter. A is projected along the groove and it impinges on B in a time interval T. Let e be the coefficient of restitution, the

A

The second impact will occur after time T

B

The second impact will occur after time `(2T)/(e )`

C

The second impact will occur after time 2T

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Let `V_2`: velocity of separation and `V_1` = and velocity of approach
`implies T = (pi R)/(V_1) and V_2 = eV_1 " " implies 2^(nd)` collision occur after time = `(2 pi R)/(V_2) implies`
`t = (2 pi R)/(eV_1) = (2T)/(e )`.
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