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(600) m//s`
C. `sqrt(60) m//s`
D. None of these

Answer

A

Explanation

`P_("bottom") = P_0 + rho gh`
`3 = 1 + rho gh`
`rho gh = 2 atm = 2 xx 10^5 N//m^2`
`rho gh = (1)/(2) rho v^2`
`2 xx 10^5 = (1)/(2) xx 10^3 v^2`
`v = sqrt(400) m//s`.