A small hole of area of cross-section $2 \mathrm{~mm}^{2}$ is present near the bottom of a fully fil

Question

A small hole of area of cross-section $2 \mathrm{~mm}^{2}$ is present near the bottom of a fully filled open tank of height 2 m . Taking $g=10 \mathrm{~m} / \mathrm{s}^{2}$, the rate of flow of water through the open hole would be nearly\

Professor PC Thomas Classes · Answer

(b) : According to Torricelli's theorem, Velocity, $v=\sqrt{2 g h}=\sqrt{2 	imes 10 	imes 2}=6.32 \mathrm{~m} / \mathrm{s}$.\ From equation of continuity,\ Volume of liquid flowing per second, $Q=A v$\ $=2 	imes 10^{-6} 	imes 6.32=12.6 	imes 10^{-6} \mathrm{~m}^{3} / \mathrm{s}$\