GATE AG 2022 • Q52 MCQ • 2 Marks

Section 6: Agricultural Process Engineering

Size Reduction and Material Handling

Subtopic: Mechanics and energy requirement in size reduction of agriculture produce

Question Statement:

Energy requirement (E) to produce a change (dX) in dimension X of a particular size can be expressed as dE/dX = −C/Xⁿ, where, c is constant and n according to Rittinger's law is _______.

Options:

  • (A) 1/2
  • (B) √2
  • (C) 3/2
  • (D) 2

Official Answer Key:

D

Step-by-Step Solution & Explanation

• Rittinger's law states that energy required for size reduction is proportional to the new surface area created, i.e., E ∝ (1/X_final − 1/X_initial), which corresponds to n = 2 in the general differential energy-size relationship dE/dX = −C/Xⁿ. • (Compare: Kick's law uses n=1, and Bond's law uses n=1.5, i.e., 3/2 — a common distractor is confusing Rittinger's exponent with Bond's.)

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