1. Tardigrade
  2. Question
  3. Physics
  4. 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 with which the liquid comes out of the vessel is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A cylindrical vessel contains a liquid of density $\rho$ 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 with which the liquid comes out of the vessel is

Mechanical Properties of Fluids

Solution:

Difference in pressure energy = K.E of the liquid
$\rho gh + \frac{mg}{A} = \frac{1}{2} \rho \nu^2 ; V = \sqrt{2 \left( gh + \frac{mg}{\rho A} \right) }$