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Q.

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:

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a

400 m/s

b

600 m/s

c

60 m/s

d

None of these

answer is A.

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Detailed 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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