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GATE 2023 PH – Question 16

Solid State Physics · conductivity, electron and hole statistics in intrinsic and extrinsic semiconductors, mobility and effective mass · 1 mark · Multiple choice

The Hall experiment is carried out with a non-magnetic semiconductor. The current I is along the x-axis and the magnetic field B is along the z-axis. Which one of the following is the CORRECT representation of the variation of the magnitude of the Hall resistivity ρxy as a function of the magnetic field?

Candidate Hall-resistivity versus magnetic-field graphs.
  1. Option A in the figure
  2. Option B in the figure
  3. Option C in the figure
  4. Option D in the figure

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Show answer and explanation

Correct answer: (B) Option B in the figure

Explanation

The ordinary Hall resistivity is $|B/(ne)|$, linear in field through the origin.