Two equal sphere `A and b` lie on a smooth horizontal circle groove at opposite ends of a diameter. At time `t= 0,A` is projected along the groove and tis first implings on`B` at time `t = T_(1) and again at time `t = T_(2)`. If `e` is the coefficient of restitution, the ratio `T_(2)//T_(1)` is

Answer

5

Explanation

`T_(1)=(piR)/(u_(1))` .(1)
`e=(v_(2)-v_(1))/(u_(1))`
`T_(2)-T_(1)=(2piR)/(v_(2)-v_(1))implies(2piR)/(eu_(1))` .(2)
`(T_(2)-T_(1))/(T_(1))=(2)/(e)implies(T_(2))/(T_(1))=(2)/(e)+1=5`