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Question

# A large vessel with a small hole at the bottom is filled with water and kerosene. The height of the water column is 20 cm and that of the kerosene is 25 cm. The velocity with which water flows out of the hole is ( density of kerosene =0.8 gm /cc) ( Neglect viscous force)

A
2m/s1
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B
4m/s1
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C
2.8m/s1
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D
3m/s1
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Solution

## The correct option is D 3m/s−1Since,the density of water is greater than that of kerosene oil, it will collect at the bottom.Now, pressure due to water level equals h1ρ1g and pressure due to kerosene oil level equals h2ρ2g. So, net pressure becomes h1ρ1g+h2ρ2g.From Bernoulli's theorem, this pressure energy will be converted into kinetic energy while flowing through the whole A.i.e. h1ρ1g+h2ρ2g=12ρ1v2Hence,V=√2(h1+h2ρ2ρ1)g=3m/s.∴ Option D is correct.

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