GATE AG 2009 • Q35 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Soil and Water Erosion

Subtopic: Soil erosion types, factors affecting erosion

Question Statement:

The peak runoff volume from the catchment between two contour bunds constructed on a 2.5% slope is 972.5 m³. The contour bunds have top width of 500 mm, height 600 mm, side slope 2:1, vertical interval 1.0 m and length 250 m. If the crest of the overflow weir is at a height of 300 mm from the ground and time available for the excess water to flow through the weir is 20 minutes, discharge in m³ per minute through the weir is

Options:

  • (A) 15.0
  • (B) 20.0
  • (C) 25.0
  • (D) 48.6

Official Answer Key:

D

Step-by-Step Solution & Explanation

The entire peak runoff volume of 972.5 m³ (the excess volume that must be safely passed through the overflow weir) is to be discharged within the given 20-minute duration. Discharge Q = Volume/time = 972.5 m³ / 20 min = 48.625 m³ per minute ≈ 48.6 m³/min, matching option (D). (The bund's geometric dimensions — top width, height, side slope, VI, length — fix the storage capacity that produced the 972.5 m³ peak-runoff figure but are not separately needed once that volume is given.)

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