Question 69 of 192

Water flows into a large tank with flat bottom at the rate of ${10}^{-4}{m}^{3}{s}^{-1}.$ Water is also leaking out of a hole of area $1c{m}^{2}$ at its bottom. If the height of the water in the tank remains steady then this height is:

A$5.1cm$B$1.7cm$C$2.9cm$D$4cm$

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Answer: (A) $5.1cm$

Amount of water going out = amount of water coming in.

$\sqrt{2gh}\times A=V$

$h=\dfrac{{\left({10}^{-4}\right)}^{2}}{2\times 9.8\times {\left({10}^{-4}\right)}^{2}}=5.1cm$