Q. The probability of electrons to be found in the conduction band of an intrinsic semiconductor at a finite temperature
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
Explanation
(a) The probability of electrons to be found in the conduction band of an intrinsic semiconductor
$P(E) = \frac{1}{1 + e^{\frac{(E - E_{F})}{kT}}};$ where $k =$ Boltzmann’s constant
Hence, at a finite temperature, the probability decreases exponentially with increasing band gap
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.