A hole is made at the bottom of the tank filled with water (density `=1000 kgm^(-3))`. If the total pressure at the bottom of the tank is three atmospheres (1 atmosphere `=10^(5) Nm^(-2))`, then the velocity of efflux is nearest to

Options

A. `sqrt(400)` m/s
B. `sqrt(600)` m/s
C. `sqrt(60)` m/s
D. None of these

Answer

A

Explanation

`p=p_0+rho gh implies 3xx10^5=1xx10^5+rho gh`
`implies (2xx10^5)/(1000xx10)=h implies h=20m`
`v_e=sqrt(2gh)=sqrt(2xx10xx20)=20 m//s=sqrt(400) m//s`