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Q.

Equal volumes of two immiscible liquids of densities ρ and 2ρ are filled in a vessel as shown in figure. Two small holes are punched at depth h2 and 3h2from the surface of lighter liquid.  If v1 and v2 are the velocities of efflux at these two holes, then v1v2 is

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a

122

b

12

c

14

d

13

answer is D.

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Detailed Solution

V1=2gh2=gh and V2 = 2g.3h2=3gh
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Equal volumes of two immiscible liquids of densities ρ and 2ρ are filled in a vessel as shown in figure. Two small holes are punched at depth h2 and 3h2from the surface of lighter liquid.  If v1 and v2 are the velocities of efflux at these two holes, then v1v2 is