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) ms^(-1)`
B. `sqrt(200)ms^(-1)`
C. `sqrt(600)ms^(-1)`
D. `sqrt(500)ms^(-1)`

Answer

A

Explanation

Neglecting gravitational head, difference in pressure energy = difference in kinetic energy
`therefore (p_0 - p_0) =1/2pv^2 " or " v=2 sqrt(p_0/p) = 2sqrt(10^5/10^3)`
`=20ms^(-1) " or " sqrt(400) ms^(-1)`