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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. - Physics

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 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.

  Is there an error in this question or solution?
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APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 13 Fluid Mechanics
MCQ | Q 22 | Page 272
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