Allied & ICAR Exam Bank • ALLIED_1157 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Hydrology and Runoff

Subtopic: Unit Hydrograph

Question Statement:

A 1-hour unit hydrograph has a peak discharge of $15\text{ m}^3/\text{s}$. If a storm produces $3.0\text{ cm}$ of direct surface runoff excess in 1 hour over the catchment, the peak of the direct runoff hydrograph (in m$^3$/s) is:

Answer Key:

45

Step-by-Step Solution & Explanation

By linear theory of unit hydrographs, direct runoff is proportional to runoff depth: $Q_{peak} = U_{peak} \times R = 15\text{ m}^3/\text{s/cm} \times 3.0\text{ cm} = 45\text{ m}^3/\text{s}$.
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