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Question

Equal volumes of two immiscible liquids of densities p and 2p are filled in a vessel as shown in the figure. Two small holes are punched at depth h2 and 3h2 from the surface of lighter liquid. If v1 and v2 are the velocities of efflux at these two holes, then v1v2 is
1405169_3edc64a6e2dd4e14826dc61476e5b38e.png

A
14
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B
12
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C
12
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D
122
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Solution

The correct option is C 12
V1=2gh2

Now pressure at hole 2 is,

P=hρg+h2×2ρg

Applying Bernoulli's theorem,

P0+2hρg=P0+12(2ρ)v22

where, P0= atmospheric pressure

v2=2gh

v1v2=2gh22gh=12

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