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)