There is a hole in the bottom of tank having water. If total pressure at bottom is 3 atm (1 atm=105 N/m2) , then the velocity of water flowing from hole is:

There is a hole in the bottom of tank having water. If total pressure at bottom is 3 atm (1 atm=105 N/m2) , then the velocity of water flowing from hole is:

  1. A

    400 m/s

  2. B

    600 m/s

  3. C

    60 m/s

  4. D

    None of these

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    Solution:

    Pressure at the bottom of tank

    P=D=3×105 N/m2= Atmospheric pressure + Pressure of liquid columns

    =P0+hρg

    Pressure due to liquid column = Pressure difference between bottom and top

    PP0=P1=3×1051×105=2×105=hρg

    And velocity of water, v=2gh

    or v=2P1ρ=2×2×105103=400m/s

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