A cylindrical vessel contains a liquid of density ρ up to 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

Question

A cylindrical vessel contains a liquid of density ρ up to 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, 2 g h, 2 g h + m g ρ A, 2 g h + m g A, 2 g h + m g A

MARKS App · Accepted Answer

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 ρ g h + m g A = 1 2 ρ v 2 or v = 2 g h + 2 m g ρ A = 2 g h + m g ρ A

Search any question & find its solution

Looking for more such questions to practice?