A particle falls from a height 'h' upon a fixed horizontal plane and rebounds. If e is the coefficient of restitution, the total distance travelled before it stops rebounding is

Question

$$\begin {array} {1 1} (a)\;h \bigg[ \frac{1+e^2}{1-e^2}\bigg] & \quad (b)\;h \bigg[ \frac{1-e^2}{1+e^2}\bigg] \\ (c)\;\frac{h}{2} \bigg[ \frac{1-e^2}{1+e^2}\bigg] & \quad  (d)\;\frac{h}{2} \bigg[ \frac{1+e^2}{1-e^2}\bigg] \end {array}$$