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Speed of Efflux

A tank of hei...

Question

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

10^{- 3} m^{3} / s

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10^{- 4} m^{3} / s

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10 m^{3} / s

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10^{- 2} m^{3} / s

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Solution

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

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