Equal volumes of two immiscible liquids of densities ρ and 2ρ are filled in a vessel as shown in figure. Two small holes are puncherd at depths h/2 and 3 h/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 From Bernoulli’s theoremρgh+2ρg(h2)=12(2ρ)v22∴v2=2gh ∴v1v2=12