GATE AG 2013 • Q41 MCQ • 2 Marks

Section 4: Soil and Water Conservation Engineering

Hydrology

Subtopic: Hydrological cycle and measurement of its components

Question Statement:

A 100 ha watershed received rainfall at a rate of 5 cm h⁻¹ for 2 hours. If the runoff generated by the storm was at the rate of 1 m³ s⁻¹ for 10 hours, the runoff coefficient for the watershed would be

Options:

  • (A) 3.6×10⁻³
  • (B) 6.0×10⁻²
  • (C) 0.36
  • (D) 36

Official Answer Key:

C

Step-by-Step Solution & Explanation

Total rainfall volume = Area × rainfall depth = (100×10⁴ m²) × (0.05 m/h × 2h) = 10⁶ × 0.10 = 100,000 m³. Total runoff volume = 1 m³/s × (10×3600 s) = 36,000 m³. Runoff coefficient, C = runoff volume/rainfall volume = 36,000/100,000 = 0.36. Answer: (C).

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