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A wide vessel with a small hole in the bottom is filled with water and kerosene. Neglecting viscosity, the velocity of water flow v, if the thickness of water layer is h1 and that of kerosene layer is h2, is [density of water is ρ1, gm/cc and that of kerosene is ρ2, gm/cc)

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a

V=2gh1+h2

b

v=2gh1ρ1+h2ρ2

c

V=2gh1+h2ρ2/ρ1

d

V=2gh1ρ1/ρ2+h2

answer is C.

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Detailed Solution

Net pressure at the bottom=h1ρ1g+h2ρ2g This pressure energy will be converted into kinetic energy while flowing through a hole A [Bernoulli's theorem) Applying Bernoulli's theoremh1ρ1g+h2ρ2g=12ρ1v2 2h1g+h2ρ2/ρ1g=v2 ∴ v=2gh1+h2ρ2/ρ1

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A wide vessel with a small hole in the bottom is filled with water and kerosene. Neglecting viscosity, the velocity of water flow v, if the thickness of water layer is h1 and that of kerosene layer is h2, is [density of water is ρ1, gm/cc and that of kerosene is ρ2, gm/cc)