Two bodies are projected with the same velocity. If one is projected at an angle of `30^(@)` and the other at an angle of `60^(@)` to the horizontal, the ratio of the maximum heights reached is

Options

A. `3:1`
B. `1:3`
C. `1:2`
D. `2:1`

Answer

B

Explanation

`H = (u^(2) sin^(2) theta)/(2g), (H prop sin^(2) theta)`
`H_(1)/H_(2) = (sin^(2) theta_(1))/(sin^(2) theta_(2))`
`=(1/2)^(2)/(sqrt(3)/2)^(2) = 1:3`