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Q.

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

6gh

b

2gh

c

gh

d

22gh

answer is B.

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Detailed Solution

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p1=patm+ρg(2h)+(2ρ)gh;p1=patm+4ρghp2=patm+12v2(2ρ)
From Bernoulli's theorem p1=p2
patm+4ρgh=patm+12v2(2ρ)4gh=v;v=2gh

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