The level of water in a tank is 5 m high . A hole of the area `10 cm^2` is made in the bottom of the tank . The rate of leakage of water from the hole is

Options

A. `10^(-2) m^(3) s^(-1)`
B. `10^(-3) m^(3) s^(-1)`
C. `10^(-4) m^(3) s^(-1)`
D. `10^(3) m^(3) s^(-1)`

Answer

A

Explanation

Velocity of efflux, `v= sqrt(2gh)`
Volume of liquid flowing out per second
`=v xx A = sqrt(2gh) xx A = sqrt(2 xx 10 xx 5) xx (10 xx 10^(-4)) = 10^(-2) m^(3) s^(-1)`