# A cylindrical vessel contains a liquid of density ρ up to height h. The liquid is closed by a piston of mass m …..

Q: A cylindrical vessel contains a liquid of density ρ 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

(a) $\displaystyle \sqrt{2 g h}$

(b) $\displaystyle \sqrt{2 (g h + \frac{m g}{\rho A})}$

(c) $\displaystyle \sqrt{2 (g h + \frac{m g}{ A})}$

(d) $\displaystyle \sqrt{2 g h + \frac{m g}{ A}}$

Ans: (b)