Question

Water is allowed to come out of a hole $P$ in one of the walls at a depth $h_1$ below the surface of water. Express the horizontal distance covered by water jet in terms of $h_1$ and $h_2$.

• A. $\sqrt{h_1{h}_2}$
• B. $2\sqrt{h_1{h}_2}$
• C. $\sqrt{\frac{h_1}{h_2}}$
• D. $2\sqrt{\frac{h_1}{h_2}}$

Answer 1

The correct option is B $2\sqrt{h_1{h}_2}$

We know,
Range of fluid, $R=2\sqrt{h(H-h)}$
Here $h=h_1$
$H=h_1+h_2$
$\therefore R=2\sqrt{h_1(h_1+h_2-h_1)}$
$\Rightarrow R=2\sqrt{h_1{h}_2}$
$\therefore$ Option (b) is correct.