Question

A small hole is made at a height of $\left(1/\sqrt{2}\right)m$ from the bottom of a cylindrical water tank. The length of the water column is $\sqrt{2}m$. Find the distance where the water emerging from the hole strikes the ground.

• A. $4m$
• B. $2m$
• C. $3m$
• D. $\sqrt{2}m$

Answer 1

The correct option is D $\sqrt{2}m$

$\text{We know that}$

R $=\sqrt{4h(H-h)}$

$=\sqrt{4\times \frac{1}{\sqrt{2}}(\sqrt{2}-\frac{1}{\sqrt{2}})}$

$=\sqrt{4\times \frac{1}{2}}=\sqrt{2}m$

$\text{Answer:}\left(D\right)$