Home Physics Fluid Mechanics Karnataka - CET Previous Year Question A closed water tank has cross-sectional area…
Physics Fluid Mechanics Karnataka - CET Previous Year Question MCQ (Single Correct)

A closed water tank has cross-sectional area A. It has a small hole at a depth of h from the free surface of water. The radius of the hole is r so that . If is the pressure inside the tank above water level, and is the atmospheric pressure, the rate of flow of the water coming out of the hole is [ is the density of water]

A
B
C
D

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The correct answer is:
B

Velocity of efflux for a tank is

(i)

where P is the pressure in the tank, is water density and h is elevation of the water surface above the outlet.

If is the pressure inside the tank above water level and is the atmospheric pressure, then pressure in the tank is,

From eqn (i), we get

From equation of continuity, rate of flow of the water from the hole

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