GATE AG 2008 • Q35 MCQ • 2 Marks

Section 4: Soil and Water Conservation Engineering

Soil and Water Erosion

Subtopic: Terraces and bunds

Question Statement:

If W is the width of a bench terrace constructed on a land of slope S, then the drop

Options:

  • (A) D = WS/(100−S)
  • (B) D = WS/(200−S)
  • (C) D = 2WS/(200−S)
  • (D) D = 2WS/(100−S)

Official Answer Key:

D

Step-by-Step Solution & Explanation

Standard bench-terracing geometry relation for vertical drop between terraces with a riser (batter) slope of ½:1 (i.e. riser rises 2 units vertically for every 1 unit horizontal, per standard convention adopted in the derivation): D = 2WS/(100−S), where S is expressed in percent and W is the horizontal bench width.

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