A large cylindrical tank has a hole of area A at its bottom. Water is oured in the tank by a tube of equal cross sectional area A ejecting water at the speed v.

Options

A. Water level in tank keeps on rising
B. No water can be stored in the tank
C. Water level will rise to height ` v^ 2//2g ` and then stop
D. The water level will be oscillating

Answer

C

Explanation

The instant flow in equals to out then height becomes constant. ` Av = A sqrt (2gh ) rArr h = (v^2 )/( 2 g )`