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Question
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 v2/2g and then stop
The water level will oscillate
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Solution
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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