Two balls `A and B` are thrown with speeds `u and u//2`, respectively. Both the balls cover the same horizontal distance before returning to the plane of projection. If the angle of projection of ball `B is 15^@` with the horizontal, then the angle of projection of `A` is.

Options

A. `sin^(-1)(1/8)`
B. `1/2sin^(-1)(1/8)`
C. `1/3sin^(-1)(1/8)`
D. `1/4sin^(-1)(1/8)`

Answer

b

Explanation

`(u^(2)sin2 theta)/g=((u//2)^(2) sin 30^(@))/g=(u^(2))/(8g)`
`:. sin 2 theta=1/8`
or `theta=1/2 sin^(-1)(1/8)`