Question

If a huge tank has a small side hole at a depth of $2$ m from the surface of water, then the velocity of water flowing through the hole is ($g = 10\ \text{m s}^{-2}$)

• A. $2\sqrt{5}\ \text{m s}^{-1}$
• B. $2\sqrt{10}\ \text{m s}^{-1}$
• C. $\sqrt{10}\ \text{m s}^{-1}$
• D. $4\sqrt{10}\ \text{m s}^{-1}$
• E. $4\sqrt{5}\ \text{m s}^{-1}$

Hint:

For fluid flow from a hole: - Use $v = \sqrt{2gh}$ - Depth $h$ is measured from liquid surface

Answer 1

The Correct Option is B

Concept: Using Torricelli’s theorem: \[ v = \sqrt{2gh} \]

Step 1: Substitute given values.
\[ v = \sqrt{2 \times 10 \times 2} \]

Step 2: Simplify.
\[ v = \sqrt{40} = 2\sqrt{10}\ \text{m s}^{-1} \]