GATE AG 2018 • Q23 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Soil Mechanics

Subtopic: Engineering properties of soils

Question Statement:

If the void ratio of a soil column is 0.43, the soil porosity is

Options:

  • (A) 0.30
  • (B) 0.40
  • (C) 0.70
  • (D) 0.75

Official Answer Key:

A

Step-by-Step Solution & Explanation

Relation between porosity n and void ratio e: n = e/(1 + e). n = 0.43/(1 + 0.43) = 0.43/1.43 = 0.3007 ≈ 0.30. Distractor (C) 0.70 = 1 − n, i.e. the solid fraction; (B) 0.40 comes from using n = e/(1 − e) incorrectly.

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