Question 253 of 308

The water is filled up to a height of $12m$ 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 _____ $m$.

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Answer: 6

$R=\sqrt{2gh}\times \sqrt{\dfrac{(12-h)\times 2}{g}}$
$\sqrt{4h(12-h)}=R$
For maximum $R$
$\dfrac{dR}{dh}=0$
$\Rightarrow h=6m$