If the water emerge from an orifice in a tank in which the gauge pressure is `4xx10^(5) Nm^(-2)` before the flow starts, then what will be the velocity of the water emerging out ? Take density of water is `1000 kg m^(-3)`

Options

A. `28.28ms^(-1)`
B. `27.28ms^(-1)`
C. `29.28ms^(-1)`
D. `29.18ms^(-1)`

Answer

A

Explanation

Here, `p=4xx10^5Nm^(-2) " and " rho = 1000 kgm^(-3), g=10ms^(-2)`
Apply, `p=hrhog`
`rArr = h=(p)/(rhog)=(4xx10^5)/(1000xx10)`
Velocity of efflux , `v=sqrt(2gh) = sqrt((2xx10xx4xx10^5)/(1000xx10))`
`=sqrt(800) = 28.28ms^(-1)`