First slide

Classification of semi-conductors

Question

The probability of electrons to be found in the conduction band of an intrinsic semiconductor at a finite temperature

Moderate

A

Decreases exponentially with increasing band gap
B

Increases exponentially with increasing band gap
C

Decreases with increasing temperature
D

Is independent of the temperature and the band gap

Solution

The probability of electrons to be found in the conduction band of an intrinsic semiconductor is given as
$P (E) = \frac{1}{1 + e^{\frac{(E - E_{F})}{kT}}};$ where k: Boltzmann's constant
Hence, at a finite temperature, the probability decreases exponentially with increasing band gap.

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