GATE AG 2010 • Q21 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Soil and Water Erosion

Subtopic: Mechanics of soil erosion – wind and water erosion

Question Statement:

For a watershed, rainfall erosivity index R=1000 MJ mm ha⁻¹h⁻¹yr⁻¹, soil erodibility index K=0.25 Mg ha h ha⁻¹MJ⁻¹mm⁻¹, crop management factor C=0.75, conservation practice factor P=1.0, slope length factor LS=0.2. If P is reduced to 0.7, the reduction in soil loss, in Mg ha⁻¹yr⁻¹ is

Options:

  • (A) 9.75
  • (B) 11.25
  • (C) 11.75
  • (D) 12.25

Official Answer Key:

B

Step-by-Step Solution & Explanation

USLE: A = R·K·LS·C·P. A₁ = 1000×0.25×0.2×0.75×1.0 = 37.5 Mg ha⁻¹yr⁻¹. A₂ = 1000×0.25×0.2×0.75×0.7 = 26.25 Mg ha⁻¹yr⁻¹. Reduction = 37.5 − 26.25 = 11.25 Mg ha⁻¹yr⁻¹.

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