A stone is dropped into a pond from the top of the tower of height h. If v is the speed of sound in air, then the sound of splash will be heard at the top of the tower after a time

Options

A. `sqrt((2h)/g)+h/v`
B. `sqrt((2h)/g)-h/v`
C. `sqrt((2h)/g)`
D. `sqrt((2h)/g)+(2h)/v`

Answer

A

Explanation

Let `t_(1)` be the time taken by the to stone to strike the surface of water in the pond.
Using h =`u+1/2"gt"^(2)`
`thereforeh=1/2"gt"^(2)` (`becauseu=0`)
`or t_(1)=sqrt((2h)/g)`
Time taken by sound to reach the top of tower, `t_(2) = h/v`
Total time after which splash of sound is heard
`t=t_(1)+t_(2)=sqrt((2h)/g)+h/v`