Physics - Fluid Question with Solution | TestHub

By Torricelli's law, the velocity of efflux from the hole at depth $b$ is given by

$v=\sqrt{2gb}$

The height of the hole from the bottom of the tank is

$h=A-b$

The time taken by the water stream to reach the floor is

$t=\sqrt{\frac{2h}{g}}=\sqrt{\frac{2(A-b)}{g}}$

The horizontal distance from the bottom of the wall at which the stream strikes the floor is

$R=v\times t$

$R=\sqrt{2gb}\times \sqrt{\frac{2(A-b)}{g}}$

$R=2\sqrt{b(A-b)}$

Answer: $2\sqrt{b(A-b)}$