A ball of mass `2m` impinges directly on a ball of mass m, which is at rest. If the velocity with which the larger ball impringes be equal to the velocity of the smaller mass after impact then the coefficient of restitution :-

Options

A. `(1)/(3)`
B. `(3)/(4)`
C. `(1)/(2)`
D. `(2)/(5)`

Answer

C

Explanation

`COLM rArr 2mu + 0 = 2mv + mu rArr v = (u)/(2)`
`e = -((v_(2) - v_(1))/(u_(2) - u_(1))) = - ((u - u//2)/(0 - u)) = (1)/(2) underset(u)underset(rarr)overset(2m)"O" overset(m)"O" rArr underset(v_(LET))underset(rarr)overset(2m)"O" underset(u) underset(rarr)overset(m)"O"`