A ball is dropped into a well in which the water level is at a depth `h` below the top. If the speed of sound id `C`, then the time after which the splash is heard will be give by.

Options

A. `h[sqrt((2)/(gh))+(1)/(c)]`
B. `h[sqrt((2)/(gh))+(1)/(c)]`
C. `h[(2)/(g)+(1)/(c)]`
D. `h[(2)/(g)+(1)/(c)]`

Answer

A

Explanation

Time of fall `=sqrt((2h)/(g))`
Time taken by the sound to come out =`(h)/(c)`
`Total time `=sqrt((2h)/(g)) +(h)/(c) =h [ sqrt((2)/(gh)) +(1)/(2)]`.