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A cylindrical vessel contains a liquid o...

A cylindrical vessel contains a liquid of density `rho` up to 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

Text Solution

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Applying Bernoulli.s theorem at 1 and 2: difference in pressure
energy between 1 and 2=difference in kinetic energy between 1 and 2
or `rhogh+(mg)/(A)=(1)/(2)rhoV^(2)` or `v=sqrt(2gh+(2mg)/(rhoA))=sqrt(2(gh+(mg)/(rhoA)))`
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