Physics - Fluid Question with Solution | TestHub

Solution:

The velocity of efflux is $v=\sqrt{2gh}$. The time taken for the water to hit the ground is $t=\sqrt{\frac{2(H-h)}{g}}$. The range is $R=vt$.

Substituting the expressions for $v$ and $t$:

$R=\sqrt{2gh}\times \sqrt{\frac{2(H-h)}{g}}=\sqrt{4h(H-h)}=2\sqrt{h(H-h)}$.

The final answer is $\boxed{2\sqrt{h(H-h)}}$.