Consider a cylindrical tank of radius $1 \mathrm{~m}$ is filled with water. The top surface of water is at $15 \mathrm{~m}$ from the bottom of the cylinder. There is a hole on the wall of cylinder at a height of $5 \mathrm{~m}$ from the bottom. A force of $5 \times 10^{5} \mathrm{~N}$ is applied an the top surface of water using a piston. The speed of ifflux from the hole will be : (given atmospheric pressure $$\mathrm{P}_{\mathrm{A}}=1.01 \times 10^{5} \mathrm{~Pa}$$, density of water $$\rho_{\mathrm{W}}=1000 \mathrm{~kg} / \mathrm{m}^{3}$$ and gravitational acceleration $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}$ )