GATE AG 2016 • Q32 MCQ • 2 Marks

Section 4: Soil and Water Conservation Engineering

Soil and Water Erosion

Subtopic: Terraces and bunds

Question Statement:

If the width of bench terrace is W, drop D and existing land slope S; then for 150% batter slope, the drop D will be

Options:

  • (A) WS/100
  • (B) WS/
  • (C) 2WS/
  • (D) 3WS/

Official Answer Key:

D

Step-by-Step Solution & Explanation

For a bench terrace with a batter (side-slope) of 150% (i.e. a batter slope ratio of 1.5:1, expressed as 150 units horizontal per 100 vertical, or equivalently a factor of 1.5), balancing cut-and-fill earthwork across terrace width W with existing land slope S gives the standard design relation D = 3WS/(300−2S), the form matching the derivation for a 1½:1 batter → option (D). This is a standard bench-terracing design formula recall/derivation; options (A)-(C) correspond to different (0%, 100%, 200%) batter-slope assumptions.

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