MCQ

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

#### Options

The water level in the tank will keep on rising

No water can be stored in the tank

The water level will rise to a height v

^{2}/2g and then stopThe water level will oscillate

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#### Solution

The water level will rise to a height v^{2}/2g and then stop.

From the principle of continuity and Bernoulli's equation, we have:

v^{2} = 2gh

`=> "h" = v^2/(2g)`

So, h is the maximum height up to which the water level will rise if the water is ejected at a speed v.

Concept: Bernoulli’S Principle

Is there an error in this question or solution?

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