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

Options

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

Answer

A

Explanation

Velocity with which liquid comes out of the hole
`v=sqrt(2gh)`
`therefore` Rate of flow of water from the hole
`="area"xx"velocity"=Axxsqrt(2gh)`
`=1xx10^(-4)sqrt(2xx10xx5)=10^(-3)m^(3)s^(-1)`
Thus the correct choice is (a).