Two bodies of different masses are dropped from heights of 16 m and 25 m respectively. The ratio of the time taken by them to reach the ground is :

Options

A. `(25)/(16)`
B. `5/4`
C. `4/5`
D. `(16)/(25)`

Answer

C

Explanation

`h = 0 + (1)/(2) g t ^(2) implies t ^(2) prop h`
`therefore (t _(1))/(t _(2)) = sqrt (( h _(1))/( h _(2))) = sqrt ((16)/(25)) = 4/5`