JEE Physics · Hard

Semiconductors: Valence Band Filling MCQ

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

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Valence Band FillingHardQuestion 20213

Question

At 0 K, a pure semiconductor:
  1. A
    Behaves like a metal
  2. B
    Behaves like a perfect insulator — all valence band states filled, conduction band empty
    Correct
  3. C
    Has maximum conductivity
  4. D
    Has equal electron and hole densities at non-zero value

Correct answer

Behaves like a perfect insulator — all valence band states filled, conduction band empty

Explanation

At 0 K, no thermal energy → no electrons excited across the gap → fully filled valence band, completely empty conduction band → exactly zero conductivity (perfect insulator behaviour). Above 0 K, thermal excitation creates electron-hole pairs.