Question

The level of water in a tank is 5 m high .A hole of area 1 cm${}^2$ is made at the bottom of the tank .The rate of leakage of water from the hole is (g = 10 m /s${}^2$ )

• A. 10${}^{-3}$ m${}^3$/s
• B. 10${}^{-43}$ m${}^3$/ s
• C. 10 m${}^3$ / s
• D. 10${}^{-2}$ m${}^3$/ s

Answer 1

The correct option is A 10${}^{-3}$ m${}^3$/s

$V=\sqrt{2gh}$

$V=\sqrt{2\times 10\times 5}$

$V=10m/s$

rate $=V\times$ Area

rate $=10\times {10}^{-4}={10}^{-3}{m}^3/s$

Correct option is (A).