Two stones are projected with the same speed but making different angles with the horizontal. Their horizontal ranges are equal. The angle of projection of one is `pi/3` and the maximum height reached by it is 102 m. Then the maximum height reached by the other in metres is

Options

A. `3 h_1`
B. `2 h_1`
C. `h_1//2`
D. `h_1//3`

Answer

D

Explanation

(d) `(h_2)/(h_1) = (u^2 sin^2 theta_2)/(2 g) xx (2 g)/(u^2 sin^2 theta_1) = (sin^2 theta_2)/(sin^2 theta_1) = (sin^2 pi//6)/(sin^2 pi//3) = (1)/(3)`
`rArr h_2 = (h_1)/(3)`.