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Q.

A vessel of large uniform cross-sectional area resting on a horizontal surface holds two immiscible, non-viscous and incompressible liquids of densities d and 2d each of height H/2. If a small hole is punched on the vertical side of the container at a height h(h

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a

2g(H−h)

b

3g(H−h)

c

g2(3H−4h)

d

g2(4H−3h)

answer is C.

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Detailed Solution

Applying Bernoulli’s theorem at A and BPo+O+(H2dg)+(H2−h)2dg=Po+12(2d)υ2+Odg(H2+H−2h)=dυ2υ2=[3H−4h2]g⇒υ=g2(3H−4h)
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