Equal volumes of two immiscible liquids of densities ρ and 2ρ are filled in a vessel. Two small holes are punched at depth 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:
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a
122
b
12
c
14
d
12
answer is D.
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Detailed Solution
v1=2g(h2)=gh …(1) From Bernoulli’s theoremρgh+2ρg(h2)=12(2ρ)v22 ∴ v2=2gh ∴ v1v2=12 …(2)