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GATE 2024 MT – Question 16

Transport Phenomena and Rate Processes · Dimensional analysis · 1 mark · Multiple choice

Match the laws in Column I with material properties in Column II.

Column I:

P. Hooke’s law

Q. Fick’s law

R. Fourier’s law

S. Darcy’s law

Column II:

1. Thermal conductivity

2. Young’s modulus

3. Permeability

4. Diffusivity

  1. P – 2, Q – 1, R – 4, S – 3
  2. P – 4, Q – 3, R – 1, S – 2
  3. P – 2, Q – 4, R – 1, S – 3
  4. P – 4, Q – 3, R – 2, S – 1

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Correct answer: (C) P – 2, Q – 4, R – 1, S – 3

Explanation

Hooke’s law relates elastic stress and strain through Young’s modulus (P2).

Fick’s law uses diffusivity (Q4), Fourier’s law thermal conductivity (R1), and Darcy’s law porous-medium permeability (S3).

Thus **C**.