Two projectiles A and B thrown with speeds in the ratio `1 : sqrt(2)` acquired the same heights. If A is thrown at an angle of `45^(@)` with the horizontal, the angle of projection of B will be

Options

A. `0^(@)`
B. `60^(@)`
C. `30^(@)`
D. `45^(@)`

Answer

C

Explanation

Given condition `h_(1) = h_(2)`
`u_(1)^(2) sin^(2) 45^(@) = u_(2)^(2) sin^(2)theta`
`sin^(2)theta = (u_(1)^(2))/(u_(2)^(2)) sin^(2) 45^(@)`
`= (1)/(2).(1)/(2) = (1)/(4)`
`sin theta = (1)/(2)`
`rArr" "theta = 30^(@)`