Question

A large open top water tank is completely filled with water. A small hole of diameter 4 mm is made 10 m below the water level. The flow rate of water through the hole is:

• A. \( 14.14 \times 10^{-6} \, \text{m}^3/\text{s} \)
• B. \( 2.1 \times 10^{-6} \, \text{m}^3/\text{s} \)
• C. \( 1.77 \times 10^{-6} \, \text{m}^3/\text{s} \)
• D. \( 0.177 \times 10^{-6} \, \text{m}^3/\text{s} \)

Hint:

To calculate the flow rate through a small hole, use Torricelli’s law \( v = \sqrt{2gh} \), where \( g \) is acceleration due to gravity and \( h \) is the height of the water column.

Answer 1

The Correct Option is C

The flow rate through the hole can be determined using Torricelli’s law. After applying the law and calculating, we find the flow rate to be \( 1.77 \times 10^{-6} \, \text{m}^3/\text{s} \). Thus, the correct answer is option (3).