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If the water emerge from an orifice in a...

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)`

Text Solution

Verified by Experts

Here, `p=4xx10^(5) N m^(-2) " and " rho=1000 kg m^(-3), g=10 ms^(-2)`
Apply, `p=h rho g implies h=(p)/(rho g)=(4xx10^(5))/(1000xx10)`
Velocity of efflux, `v=sqrt(2gh)=sqrt((2xx10xx4xx10^(5))/(1000xx10))`
`sqrt(800)=28.28 ms^(-1)`
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Knowledge Check

  • 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)`
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