Question Bank • QB_IDE_EXP_024 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Agricultural Drainage

Subtopic: Drainage coefficient

Question Statement:

A drainage basin of area $120\text{ ha}$ has a design drainage coefficient of $1.5\text{ cm/24 h}$. The design capacity of the drainage outlet channel in $\text{m}^3\text{/s}$ is ________ (round off to 3 decimal places).

Answer Key:

0.208

Step-by-Step Solution & Explanation

1. Total volume of drainage water per 24 hours: $V = 120\text{ ha} \times 10,000\text{ m}^2\text{/ha} \times 0.015\text{ m} = 1.20 \times 10^6 \times 0.015 = 18,000\text{ m}^3$ 2. Discharge rate $Q$: $Q = \frac{18,000\text{ m}^3}{24 \times 3600\text{ s}} = \frac{18,000}{86400} = \frac{180}{864} \approx 0.20833\text{ m}^3\text{/s} \approx 0.208\text{ m}^3\text{/s}$
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