GATE AG 2019 • Q18 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Soil Mechanics

Subtopic: Engineering properties of soils

Question Statement:

Soil Mechanics: Engineering properties of soils; fundamental definitions and relationships; index properties of soils; permeability and seepage analysis; shear strength, Soil compaction and Proctor test, Mohr's circle of stress, active and passive earth pressures; stability of slopes, Terzaghi's one dimensional soil consolidation theory. A soil sample has a porosity of 40%. Void ratio of the soil sample is

Options:

  • (A) 0.367
  • (B) 0.467
  • (C) 0.567
  • (D) 0.667

Official Answer Key:

D

Step-by-Step Solution & Explanation

Void ratio e and porosity n are related by e = n/(1−n). With n = 0.40: e = 0.40/(1−0.40) = 0.40/0.60 = 0.667. Answer: (D) 0.667.

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