A wide vessel with small hole in the bottom is filled with water an...

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A wide vessel with small hole in the bottom is filled with water and kerosene. Neglecting viscosity, the
\( \mathrm{P} \) velocity of water flow \( v \), if the thickness of water layer is \( h_{1} \) and that of kerosene layer is \( h_{2} \) is
W (density of water \( \rho_{1} \mathrm{~g} / \mathrm{cc} \) and that of kerosene is \( \rho_{2} \mathrm{~g} / \mathrm{cc} \).
(1) \( v=\sqrt{2 g\left(h_{1}+h_{2}\right)} \)
(2) \( \mathrm{v}=\sqrt{2 \mathrm{~g}\left(\mathrm{~h}_{1} \rho_{1}+\mathrm{h}_{2} \rho_{2}\right)} \)
(3) \( v=\sqrt{2 g\left[h_{1}+h_{2}\left(\frac{\rho_{2}}{\rho_{1}}\right)\right]} \)
(4) \( v=\sqrt{2 g\left[h_{1}\left(\frac{\rho_{1}}{\rho_{2}}\right)+h_{2}\right]} \)
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