A completely filled water tank of height ' $h$ ' has a hole at the bottom. The total pressure of the bottom…
A completely filled water tank of height ' $h$ ' has a hole at the bottom. The total pressure of the bottom is 4 H and atmospheric pressure is H . The velocity of water flowing out of the hole is ( $\rho=$ density of water)
$\sqrt{\frac{3 H}{\rho}}$
$\sqrt{\frac{5 \mathrm{H}}{\rho}}$
$\sqrt{\frac{6 \mathrm{H}}{\rho}}$
$\sqrt{\frac{9 \mathrm{H}}{\rho}}$
Solution
$\begin{aligned} \text { Velocity of water flowing out } & =\sqrt{\frac{2\left(\mathrm{P}-\mathrm{P}_0\right)}{\rho}} \\ & =\sqrt{\frac{2(4 \mathrm{H}-\mathrm{H})}{\rho}} \\ & =\sqrt{\frac{6 \mathrm{H}}{\rho}}\end{aligned}$