The water is filled upto height of $12\, {m}$ in a tank having vertical sidewalls. A hole is made in one of the walls at a depth $'{h}'$ below the water level. The value of $'h'$ for which the emerging stream of water strikes the ground at the maximum range is $.....\,{m}$.
JEE MAIN 2021, Medium
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$R =\sqrt{2 gh } \times \sqrt{\frac{(12- h ) \times 2}{ g }}$
$\sqrt{4 h (12- h )}= R$
For maximum $R$
$\frac{ d R }{ dh }=0$
$\Rightarrow h =6 \;m$
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