Semiconducting Devices Question 30
Question: The probability of electrons to be found in the conduction band of an intrinsic semiconductor at a finite temperature
[IIT-JEE 1995; DPMT 2004]
Options:
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
Show Answer
Answer:
Correct Answer: A
Solution:
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.
