Question

A water tank is filled with water upto height H. There is a orifice in the wall of water tank at a depth D from the water surface. If water is emerging from orifice to ground then find out the horizontal range of water on the ground.

Answer 1

The velocity of flow of water $v=\sqrt{2gD}$

After coming out of orifice, time taken (time of flight) to reach the ground.

$T=\sqrt{\frac{2(H-D)}{g}}$

$\therefore$ Range of water

$x=velocity\times timeoflight$

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

or $x=2\sqrt{D(H-D)}$