Two projectiles are fired from the same point with the same speed at angles of projection `60^(@) and 30^(@)` respectively. Which one of the following is true?

Options

A. `R_(A) = R_(B)`
B. `H_(B) = 3H_(A)`
C. `T_(B) = sqrt(3)T_(A)`
D. None of these

Answer

D

Explanation

`T prop sin theta (T_(A))/(T_(B)) = (sin 30^(@))/(sin 60^(@)) = (1)/(sqrt(3))` or `T_(B) = sqrt(3) T_(A)`
`H prop sin^(2) theta, (H_(A))/(H_(B)) = (sin^(2) 30^(@))/(sin^(2) 60^(@)) = (1)/(3)` or `H_(B) = 3H_(A)`
As, `R_(theta) = R_(90^(@)-theta)`
`:. R_(A) = R_(B)`