Questions  

A cylindrical vessel contains a liquid of density ρ  up to a height h . The liquid is closed by a piston of mass m  and area of cross-section A . There is a small hole at the bottom of the vessel. The speed v  with which the liquid comes out of the hole is:

 

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By Expert Faculty of Sri Chaitanya
a
2gh
b
2(gh+mgρA)
c
2(gh+mgA)
d
2gh+mgA
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detailed solution

Correct option is B

Applying Bernoulli’s theorem at point 1 and 2, Difference in pressure energy between 1 and 2 = difference in kinetic energy between 1 and 2or ρhg+mgA=12ρv2or v=2gh+2mgρA=2(gh+mgρA)

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There are two identical small holes of area of cross-section a on the opposite sides of a tank containing a liquid of density  ρ. The difference in height between the holes is h. Tank is resting on a smooth horizontal surface. Horizontal force which will has to be applied on the tank to keep it in equilibrium is 

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