The GATE Grind

GATE 2021 AG – Question 18

Soil and Water Conservation Engineering · Soil and Water Erosion · 1 mark · Multiple choice

Approximately, how does sediment delivery ratio SDR vary with drainage area A?

  1. Directly with $A^{.2}$
  2. Inversely with $A^{.2}$
  3. Directly with A
  4. Inversely with A

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Correct answer: (B) Inversely with $A^{.2}$

Explanation

Larger basins offer more storage and deposition before sediment reaches the outlet. The intended empirical relation is $SDR\propto A^{-.2}$,or **inversely with A^.2,B**. It is an approximate watershed relation, not a universal dimensional law.

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