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. 20 m/s
B. ` 10 sqrt 2 m//s `
C. ` 10 sqrt6 m//s `
D. ` 10 sqrt5 m//s `

Answer

A

Explanation

` rho gh = 2 xx 10 ^5 rArr 10 ^(3) xx 10 xx h = 2 xx 10 ^ 5 rArr h = 20 m `
Velocity of efflux ` = sqrt(2gh ) = sqrt (2 xx 10 xx 20) = sqrt(400) m//s `