A ball is projected from the bottom of a tower and is found to go above the tower and is caught by the thrower at the bottom of the tower after a time interval `t_(1)`. An observer at the top of the tower sees the same ball go up above him and then come back at this level in a time interval `t_(2)`. The height of the tower is

Options

A. `1/2 g t_(1) t_(2)`
B. `(g t_(1)t_(2))/(8)`
C. `g/g (t_(1)^(2) - t_(2)^(2))`
D. `g/2 (t_(1)-t_(2))^(2)`

Answer

C