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

Answer

C

Explanation

`Av = A sqrt(2 g h_(max))`
`h_(max) = (v^2)/(2 g)`.