Two sphere `A` and `B` of equal masses lie on the smooth horizontal circular groove at opposite ends of diameter and at the end of time 't','A' impings on 'B' . If 'e' is the coefficient of restitution, the second impinge will occur after a time

Options

A. `2t/e`
B. `t/e`
C. `pi t/e`
D. `2pi t/e`

Answer

`(1)`

Explanation

`t = (pir)/(u_(1)), e = (v_(2) - v_(1))/(u_(1)), (v_(2) - v_(1)) = eu_(1)`
and second impact , `t_(1) = (2 pi r)/(v_(2) - v_(1)) = (2 pi r)/(eu_(1)) = (2t)/(e)`