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Speed of Efflux

The figure sh...

Question

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

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Solution

Applying Bernaulis theoram
$P_{0} + ρ_{2} g h_{2} + ρ_{1} g h_{1} = P_{0} + \frac{1}{2} ρ_{1} v^{2} v = \sqrt{\frac{2 g (ρ_{1} h_{1} + ρ_{2} h_{2})}{ρ_{1}}}$

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