A particle moving in a circle of radius $R$ with uniform speed takes time $T$ to complete one revolution. If this particle is projected with the same speed at an angle $\theta$ to the horizontal, the maximum height attained by it is equal to $4R$. The angle of projection $\theta$ is then given by : (1) $\sin ^ { - 1 } \frac { 2 g T ^ { 2 } } { \pi ^ { 2 } R }$ (2) $\sin ^ { - 1 } \frac { \pi ^ { 2 } R } { 2 g T ^ { 2 } }$ (3) $\cos ^ { - 1 } \frac { 2 g T ^ { 2 } } { \pi ^ { 2 } R }$ (4) $\cos ^ { - 1 } { \frac { \pi R } { 2 g T ^ { 2 } } } ^ { \frac { 1 } { 2 } }$
A particle moving in a circle of radius $R$ with uniform speed takes time $T$ to complete one revolution. If this particle is projected with the same speed at an angle $\theta$ to the horizontal, the maximum height attained by it is equal to $4R$. The angle of projection $\theta$ is then given by :\\
(1) $\sin ^ { - 1 } \frac { 2 g T ^ { 2 } } { \pi ^ { 2 } R }$\\
(2) $\sin ^ { - 1 } \frac { \pi ^ { 2 } R } { 2 g T ^ { 2 } }$\\
(3) $\cos ^ { - 1 } \frac { 2 g T ^ { 2 } } { \pi ^ { 2 } R }$\\
(4) $\cos ^ { - 1 } { \frac { \pi R } { 2 g T ^ { 2 } } } ^ { \frac { 1 } { 2 } }$