A cylindrical vessel contains a liquid of density ρ upto 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

Engineering

Physics

Liquid Pressure

Basic Circuit Theory and Kirchoffs Law for DC Circuit

BernoulIis Equation and Equation of Continuity

Question

A cylindrical vessel contains a liquid of density ρ upto 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

$\sqrt{2 gh + \frac{mg}{Aρ}}$

$\sqrt{2 (gh + \frac{mg}{A})}$

$\sqrt{2 (gh + \frac{mg}{ρA})}$

$\sqrt{2 gh}$

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$h_{eq} ρg = hρg + \frac{mg}{A}$

$h_{eq} = h + \frac{m}{ρA}$

$y = \sqrt{2 g_{eq}} = \sqrt{2 g (h + \frac{m}{ρA})}$ .