A body 'X' with momentum 'p' collides with another identical stationary body ' y ' one dimensionally. During collision ' y' gives an impulse ' J ' to the body 'x'. Then the coefficient of restitution is

Question

$$\begin {array} {1 1} (a)\;\frac{2J}{p}-1 & \quad (b)\;\frac{J}{p}+1 \\ (c)\;\frac{J}{p}-1 & \quad  (d)\;\frac{J}{4p}-1 \end {array}$$