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JEE PHYSICS MCQ: SEMI CONDUCTOR DEVICES

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The conductivity of an intrinsic semiconductor depends on temperature as σ=σ0e−ΔE/2kT\sigma=\sigma_0 e^{-\Delta E / 2 k T}, where σ0\sigma_0 is a constant. Find the temperature at which the conductivity of an intrinsic germanium semiconductor will be double of its value at T=300 KT=300 \mathrm{~K}. Assume that the gap for germanium is 0.650 eV0.650 \mathrm{~eV} and remains constant as the temperature is increased.
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Correct option: A
318 K318 \mathrm{~K}
Option A (318 K318 \mathrm{~K}) is correct because it is the temperature at which the conductivity of the germanium semiconductor doubles, calculated using the given formula.

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