A wide vessel with a small hole at the bottom is filled with two liquids. The density and heightof one liquid are $\rho_1$ and $h_1$ and that of the otherare  $\rho_2$ and $h_2 \ (\rho_1 >\rho_2)$. The velocity of liquid coming out of the hole is :
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$\mathrm{P}_{0}+\mathrm{h}_{1} \rho_{1} \mathrm{g}+\mathrm{h}_{2} \rho_{2} \mathrm{g}+0=\mathrm{P} 0+\frac{1}{2} \rho_{1} \mathrm{v}^{2}$

$\mathrm{v}=\sqrt{2 \mathrm{g}\left(\mathrm{h}_{1}+\frac{\mathrm{h}_{2} \rho_{2}}{\rho_{1}}\right)}$

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