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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 :

  • A

    $v = \sqrt {2g({h_1}\, + \,{h_2)}}$

  • B

    $v = \sqrt {2g({h_1}{\rho _1}\, + \,{h_2}{\rho _2})/({\rho _1} + {\rho _2})}$

  • C

    $v = \sqrt {2g\left( {{h_{1\,}} + \frac{{{h_2}{\rho _2}}}{{{\rho _1}}}} \right)}$

  • D

    $v = \sqrt {2g\left( {\frac{{{h_1}{\rho _1}}}{{{\rho _2}}}\, + {h_2}} \right)}$

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