Question

# A tank of height $$5\ m$$ is full of water. There is a hole of cross sectional area $$1\ cm^2$$ in its bottom. The initial volume of water that will come out from this hole per second is

A
103m3/s
B
104m3/s
C
10m3/s
D
102m3/s

Solution

## The correct option is A $$10^{-3}m^3/s$$Since velocity of water coming out = $$\sqrt { 2gh }$$                                     = $$\sqrt { 2\times 10\times 5 }$$                                     = 10 m/sSo volume of water = velocity $$\times$$ area                                  = $$10\times { 10 }^{ -4 }{ m }^{ 3 }/s$$     volume flow rate = $${ 10 }^{ -3 }m/s$$Physics

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