Equal volumes of two immiscible liquids of density 2 ρ and 4 ρ , respectively, are filled in the vessel as shown in the figure. Two small holes are punched at depth h 2 and 2 h , respectively, from the surface of the lighter liquid. If v 1

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Equal volumes of two immiscible liquids of density 2 ρ and 4 ρ , respectively, are filled in the vessel as shown in the figure. Two small holes are punched at depth h 2 and 2 h , respectively, from the surface of the lighter liquid. If v 1 and v 2 are the velocities of efflux at these holes, then the ratio of v 1 v 2 is

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Correct answer: B. 1 3

2 ρ g h 2 = 1 2 2 ρ v 1 2 ⇒ v 1 = g h 4 ρ g h + 2 ρ g h = 1 2 ⋅ 4 ρ v 2 2 ⇒ 6 ρ g h = 2 ρ v 2 2 ⇒ v 2 = 3 g h ∴ v 1 v 2 = 1 3

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