Question

A tank is filled with water up to a height $H$. Water is let out of a hole $P$ from one of the walls, at a depth $D$ below the surface of the water. Express the range of the efflux $x$ in terms of $H$ and $D$.

Answer 1

Time taken to fall the liquid

$t=\sqrt{\frac{2(H-D)}{g}}v=\sqrt{2gD}x=\sqrt{2gD}\times \sqrt{\frac{2(H-D)}{g}}x=2\sqrt{D(H-D)}$