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At What velocity does water emerge from ...

At What velocity does water emerge from an orifice in a tank in which gauge pressure is `3 xx 10^(5) Nm^(-2)` before the flow starts ? (Take the density of water `=1000 kg m^(-3)`.)

A

`24.5 m s^(-1)`

B

`14.5 m s^(-1)`

C

`34.5 m s^(-1)`

D

`44.5 m s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Here, `P=3xx10^(5) Nm^(-2), rho=1000 kgm^(-3), g=9.8 ms^(-2)`
As `P=hrhog`
`therefore h=(P)/(rhog)=(3xx10^(5))/(1000xx9.8)m`
Velocity of efflux,
`v=sqrt(2gh)=sqrt((2xx9.8xx3xx10^(5))/(1000xx9.8))`
`=sqrt(600)=24.495 ms^(-1)~~24.5 ms^(-1)`
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