A projectile is fixed on a horizontal ground. Coefficient of restitution between the projectile and the ground is 'e'. If `a,b` and `c` be the ration of time of flight `[(T_(1))/(T_(2))]`, maximum height `[(H_(1))/(H_(2))]` and horizontal range `[(R_(1))/(R_(2))]` in first two collisions with the ground, then

Options

A. `a = 1/e`
B. `b = 1/e^(2)`
C. `c = 1/e`
D. `1,2 & 3`

Answer

`(4)`

Explanation

`T_(n) = e^(n)T,`
`H_(n) = e^(2n) xx H, R_(n) = e^(n)R`