Question

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
A. `sqrt(400) ms^(-1)`
B. `sqrt(200) ms^(-1)`
C. `sqrt(600) ms^(-1)`
D. `sqrt(500) ms^(-1)`

Answer 1

Correct Answer - A
Neglecting gravitational head, difference in pressure energy = difference in kinetic energy
`therefore (p_(0)-p_(0))=(1)/(2) rhov^(2) " or" v=2 sqrt((p_(0))/(rho))=2sqrt((10^(5))/(10^(3)))`
`=20 m s^(-1) " or" sqrt(400) m s^(-1)`