A wide vessel with a small hole at the bottom is filled with water (density\[{{\rho }_{1}}\], height\[{{h}_{1}}\]) and kerosene (density\[{{\rho }_{2}}\], height\[{{h}_{2}}\]). Neglecting viscosity effects, the speed with which water flows out is :

\[{{[2g({{h}_{1}}+{{h}_{2}}({{\rho }_{1}}/{{\rho }_{2}}))]}^{1/2}}\]

\[[2g{{({{h}_{1}}+{{h}_{2}})}^{1/2}}\]

\[[2g{{({{h}_{1}}{{\rho }_{1}}+{{h}_{2}}{{\rho }_{2}}]}^{1/2}}\]

\[{{[2g({{h}_{1}}+{{h}_{2}}({{\rho }_{2}}/{{\rho }_{1}}))]}^{1/2}}\]

A wide vessel with a small hole at the bottom is filled with water (de

1.	A wide vessel with a small hole at the bottom is filled with water (density\[{{\rho }_{1}}\], height\[{{h}_{1}}\]) and kerosene (density\[{{\rho }_{2}}\], height\[{{h}_{2}}\]). Neglecting viscosity effects, the speed with which water flows out is :
A.	\[[2g{{({{h}_{1}}+{{h}_{2}})}^{1/2}}\]
B.	\[[2g{{({{h}_{1}}{{\rho }_{1}}+{{h}_{2}}{{\rho }_{2}}]}^{1/2}}\]
C.	\[{{[2g({{h}_{1}}+{{h}_{2}}({{\rho }_{2}}/{{\rho }_{1}}))]}^{1/2}}\]
D.	\[{{[2g({{h}_{1}}+{{h}_{2}}({{\rho }_{1}}/{{\rho }_{2}}))]}^{1/2}}\]
Answer» D. \[{{[2g({{h}_{1}}+{{h}_{2}}({{\rho }_{1}}/{{\rho }_{2}}))]}^{1/2}}\]