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Speed of Efflux

The figure sh...

Question

The figure shows two immiscible liquids(Kerosene and water). Kerosene has density $ρ_{2}$ and water has density $ρ_{1}$ . Find the velocity of water flow.

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Solution

Density of Kerosene $= ρ_{2}$ water density $= ρ_{1}$
Let, the height water $= h_{1}$
and the height of Kerosene $= h_{2}$ respectively
The velocity of water flow through hole in the bottom is given by
$v = \sqrt{2 g [h_{1} + h_{2} (ρ_{2} ρ_{1})]}$

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