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GATE 2024 AG – Question 42

Soil and Water Conservation Engineering · Hydrology · 2 marks · Multiple choice

A 10 ha watershed receives hourly intensities2,1,1.5,1 cm/hour over four hours. With φ-index1 cm/hour, find direct runoff volume in m³.

  1. 1500
  2. 4500
  3. 5500
  4. 15000

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Correct answer: (A) 1500

Explanation

Hourly rainfall excess is $\max(i-\phi,0)$,giving1,0,.5,0 cm. Total excess depth is 1.5 cm=.015 m. Area is 100000 m²,so direct runoff is $.015(100000)=\mathbf{1500}$ m³,**A**. The φ-index is deducted only up to the rainfall available in an interval.

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