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Q.

A wide cylindrical tank with a small opening in the bottom has a water column of height h1 and density d. Above the water column, there is a layer of kerosene oil of thickness h2 and density 0.8d. The velocity of efflux through the opening is

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a

2gh1

b

2g0.8h2+h1

c

2g(h1+h2)

d

Data is not sufficient

answer is B.

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Detailed Solution

According to Bernoulli's theorem total energy of the liquid at the bottom of the vessel is equal to total energy of the flow just outside the vessel.P1=P2+12dv2P0+0.8dgh2+dgh1=P0+12dv2v2=1.6gh2+2gh1
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A wide cylindrical tank with a small opening in the bottom has a water column of height h1 and density d. Above the water column, there is a layer of kerosene oil of thickness h2 and density 0.8d. The velocity of efflux through the opening is