JEE Physics · Easy

Semiconductors: Semiconductor Classification MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Semiconductor ClassificationEasyQuestion 20264

Question

Germanium has band gap Eg = 0.67 eV. At room temperature, compared to silicon (Eg = 1.1 eV), germanium has:
  1. A
    Lower intrinsic carrier density
  2. B
    Higher intrinsic carrier density
    Correct
  3. C
    Same intrinsic carrier density
  4. D
    Zero intrinsic carrier density

Correct answer

Higher intrinsic carrier density

Explanation

nᵢ ∝ exp(−Eg/2kT). Smaller Eg → larger exponent → higher nᵢ. Ge has more intrinsic carriers than Si at the same temperature → higher conductivity → lower breakdown voltage → less suitable for high-temperature operation.