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........ $cm$
A$5.1$
B$1.7$
C$4$
D$2.9$
JEE MAIN 2019, Medium
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A$5.1$
a $\frac{{dv}}{{dt}} = \phi - a\sqrt {2gh} = 0$ $(for\,maximum\,height)$
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