Question

A watershed of 1500 hectares is discharging through a drain at an average rate of 2.5 m³/s. Calculate the drainage coefficient. If the drainage coefficient is 3 cm, what would be the discharge through the drain?

• A. 0.11 m³/s
• B. 0.22 m³/s
• C. 0.33 m³/s
• D. 0.44 m³/s

Hint:

The drainage coefficient is crucial in determining the efficiency of drainage in a watershe(D)

Answer 1

The Correct Option is C

Step 1: Formula for Drainage Coefficient.
The drainage coefficient (D) is given by the formula: \[ D = \frac{Q}{A} \] where \(Q\) is the discharge in m³/s and \(A\) is the area in hectares.
Step 2: Calculation of the discharge.
The discharge \(Q = 2.5 \, \text{m}^3/\text{s}\), and the area is \(1500 \, \text{hectares}\). Using the given drainage coefficient of 3 cm, we can calculate the discharge through the drain.
Step 3: Conclusion.
After applying the formula and calculating, the discharge is \(0.33 \, \text{m}^3/\text{s}\).
Final Answer: \[ \boxed{0.33 \, \text{m}^3/\text{s}} \]