Two projectiles thrown from the same point at angles `60^(@) and 30^(@)` with the horizontal attain the same height .
Which of the following statements is a correct statement ?

Options

A. The ratio of their initial velocityies is `sqrt(3)`
B. The ratio of their initial velocities is `(1)/(sqrt(3))`
C. The ratio of their initial velocities is 1.
D. The ratio of their initial velocities is infinity .

Answer

B

Explanation

`h_("max") = (u^(2) sin^(2) theta)/(2g)`
`h_("max")` is same in both the cases .
`u_(1)^(2) sin^(2)30^(@)`
`(u_(1))/(u_(2)) = (sin 30^(@))/(sin 60^(@))`
`= (1)/(2) xx (2)/(sqrt(3)) = (1)/(sqrt(3))`