# Q. 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 1 $cm^2$ at its bottom. If the height of the water in the tank remains steady, then this height is:

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Solution:

## Since height of water column is constant therefore, water inflow rate $(Q_{in})$ = water outflow rate $Q_{in } = 10^{-4} m^{3}s^{-1}$ $Q_{out } =Au = 10^{-4} \times\sqrt{2gh}$ $10^{-4} = 10^{-4} \sqrt{20 \times h}$ $h = \frac{1}{20} m$ h = 5cm $\therefore$ correct answer is (4) You must select option to get answer and solution

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