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  • A cylindrical vessel contains a liquid of density \rho upto a height h. The liquid is dosed by a piston of mass m and area of cross-section A. There is a small hole at the bottom o

A cylindrical vessel contains a liquid of density \rho upto a height h. The liquid is dosed 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 holes :

Option: 1

\mathrm{\sqrt{2 g h}}


Option: 2

\mathrm{\sqrt{2\left(g h+\frac{m g}{\rho A}\right)}}


Option: 3

\mathrm{\sqrt{2\left(\mathrm{gh}+\frac{\mathrm{mg}}{\mathrm{A}}\right)}}


Option: 4

\mathrm{\sqrt{2 g h+\frac{m g}{A}}}


Answers (1)

best_answer

p, without piston \mathrm{=\rho g h}

with piston \mathrm{=\rho g h+\frac{\mathrm{mg}}{\mathrm{A}}}

modification in \mathrm{V=\sqrt{2 g h}} without piston

with piston \mathrm{=\sqrt{2\left(g h+\frac{m g}{\rho A}\right)}}

Posted by

vishal kumar

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