A closed water tank has cross-sectional area A. It has small hole at a depth of h from the free surface of water. The radius of the hole is r so that r <<
\(\sqrt{\frac{A}{\pi}}\). If P
o is the pressure inside the tank above water level, and P
a is the atmospheric pressure, the rate of flow of the water coming out of the hole is [ ρ is the density of water]