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Equal volume of two immiscible liquids of densities ρ and 2ρ are filled in a vessel as shown in the figure. Two small holes are punched at depths h/2 and 3h/2 from the surface of lighter liquid. If v1 and v2 are the velocities of efflux at these two holes, then v1/v2 is

a
122
b
12
c
14
d
12

detailed solution

Correct option is D

v1=2gh2=ghFrom Bernoulli's theorem, ρgh+2ρgh2=12(2ρ)v22⇒ v2=2gh∴ v1v2=12.

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