Question

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

Answer 1

The correct option is A decreases exponentially with increasing band gap

Solution We know,

$P=\frac{1}{1+e\left(\frac{E-E_F}{KT}\right)},K\Rightarrow$ Boltzmann's conduction

$P\to$ Probability of finding to

election in conduction band

P is clearly decreasing

exponentially with increasing band

gap i.e.$(E-E_F)$

Option - A is correct.