Question

A ball is dropped into a well in which the water level is at a depth h below the ground. If the speed of sound be c, then the time after which the splash is heard will be given by

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Time of fall = $\sqrt{\frac{2h}{g}}$

Time taken by the sound to come out = $\frac{h}{c}$

Total time

= $\sqrt{\frac{2h}{g}}$ + $\frac{h}{c}$ = h[$\sqrt{\frac{2}{gh}}$ + $\frac{h}{c}$ ]