GATE AG 2009 • Q16 MCQ • 1 Mark

Section 6: Agricultural Process Engineering

Engineering Properties of Agriculture Produce

Subtopic: Electrical properties

Question Statement:

If the length, breadth and thickness of a rice grain are 7 mm, 3 mm and 2 mm respectively, the sphericity of the grain is

Options:

  • (A) 0.33
  • (B) 0.50
  • (C) 0.67
  • (D) 0.75

Official Answer Key:

B

Step-by-Step Solution & Explanation

Sphericity Sp = (l·b·t)^(1/3) / l, where l, b, t are the three principal dimensions. Geometric mean diameter = (7×3×2)^(1/3) = (42)^(1/3) = 3.476 mm. Sp = 3.476/7 = 0.4966 ≈ 0.50, matching option (B).

Practice This in Real CBT Exam Interface

Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.

Launch CBT Mock Test