A wide vessel with a small hole in the bottom is filled with water and kerosene. Neglecting viscosity, the velocity of water flow v, if the thickness of water layer is h₁ and that of kerosene layer is h₂, is [density of water is ${\rho }_1$, gm/cc and that of kerosene is ${\rho }_2$, gm/cc)

• A

  $\mathrm{V}=\sqrt{\left[2\mathrm{g}\left({\mathrm{h}}_1+{\mathrm{h}}_2\right)\right]}$

• B

  $\mathrm{v}=\sqrt{\left[2\mathrm{g}\left({\mathrm{h}}_1{\mathrm{\rho }}_1+{\mathrm{h}}_2{\mathrm{\rho }}_2\right)\right]}$

• C

  $\mathrm{V}=\sqrt{\left[2\mathrm{g}\left\{{\mathrm{h}}_1+{\mathrm{h}}_2\left({\mathrm{\rho }}_2/{\mathrm{\rho }}_1\right)\right\}\right]}$

• D

  $\mathrm{V}=\sqrt{\left[2\mathrm{g}\left\{{\mathrm{h}}_1\left({\mathrm{\rho }}_1/{\mathrm{\rho }}_2\right)+{\mathrm{h}}_2\right\}\right]}$