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.
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 v2/2g and then stop
The water level will oscillate
The water level will rise to a height v2/2g and then stop.
From the principle of continuity and Bernoulli's equation, we have:
v2 = 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.
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- Bernoulli’S Principle