The resistivity (ρ) of semiconductor varies with temperature. Which… | JEE Main 2023 (6 Apr, Shift 1)

Q29JEE Main 2023 · 6 APR · SHIFT 1Easy

Intrinsic & Extrinsic Semiconductors

The resistivity $(\rho)$ of semiconductor varies with temperature. Which of the following curve represents the correct behaviour:

Show answer and solution

Answer: (d)

Semiconductor resistivity falls with temperature because the number of carriers rises roughly as $e^{-E_g/2kT}$ .
So $\rho$ is very large at low $T$ and decreases along a decaying curve that flattens out.
Graphs (a) and (c) rise with $T$ , (b) is a straight line; only (d) shows the decaying curve.
So the answer is (d).

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