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GATE 2026 MN – Question 23

Geomechanics and Ground Control · Geomechanics · 1 mark · Multiple choice

The graph plots discharge Q against Ah/L for rock samples E,F,G. Here A is cross-sectional area,h the hydraulic head and L sample length. Which conductivity order follows?

Diagram for GATE 2026 MN question 23
  1. $k_E>k_F>k_G$
  2. $k_E<k_F<k_G$
  3. $k_E=k_F=k_G$
  4. $k_F>k_G>k_E$

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Show answer and explanation

Correct answer: (A) $k_E>k_F>k_G$

Explanation

Darcy’s law gives Q=kAh/L, so the slope of the displayed straight line is hydraulic conductivity k. E has the steepest slope, F the intermediate slope and G the smallest. Therefore kE>kF>kG, A.

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