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A large tank of height h is filled with a liquid of density ρ. A similar tank is half-filled with this liquid and other-halffilled with another liquid of density 2ρ as shown. What will be the ratio of the instantaneous velocities of discharge through a small opening at the base of the tanks? (assume that the diameter of the opening is  negligible compared to the height of the liquid column in either of the tanks)

(a) 2 : 3

(b) 2 : √3

(c) √2 : 3

(d) √2 : √3

The question was asked during an interview.

I would like to ask this question from Hydrostatic Force on Plane Area topic in section Hydrostatic Forces on Surfaces of Fluid Mechanics

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Best answer
The correct choice is (d) √2 : √3

Easy explanation: Instantaneous velocity of discharge  where h= height of the liquid column.

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