There is a small hole at the bottom of tank filled with water. If total pressure at the bottom is `3 atm(1 atm=10^(5)Nm^(-2))`, then find the velocity of water flowing from hole.

Options

A. `sqrt(400)m//s`
B. `sqrt(200)m//s`
C. `sqrt(600)m//s`
D. `sqrt(500)m//s`

Answer

A

Explanation

Total pressure at the bottom `1=3atm`
Pressure due to water in the tank `=3atm-1atm=2atm`
`=20m` of water column
Height of water in the tank is `h=20 m`
So velocity of efflux `=sqrt(2)gh=sqrt(2)xx10xx20=sqrt(400)m//s`