Q.

The velocity of the liquid coming out of a small hole of a large vessel containing two different liquids of densities 2ρ and ρ as shown in Figure is

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a

6gh

b

2gh

c

22gh

d

gh

answer is B.

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Detailed Solution

Pressure at point A isPA=Patm+ρg(2h)Applying Bernoulli's theorem between points A and B, we getPatm+2ρgh+ρg(2h)=Patm+12(2ρ)v2⇒ v=2gh

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The velocity of the liquid coming out of a small hole of a large vessel containing two different liquids of densities 2ρ and ρ as shown in Figure is