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

Option: 1

Decreases exponentially with increasing band gap
 


Option: 2

Increases exponentially with increasing band gap
 


Option: 3

Decreases with increasing temperature
 


Option: 4

Is independent of the temperature and the band gap


Answers (1)

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The probability of electrons to be found in the conduction band of an intrinsic semiconductor

\mathrm{P(E)=\frac{1}{1+e^{\frac{\left(E-E_F\right)}{k T}}} ;} where k = Boltzmann's constant

Hence, at a finite temperature, the probability decreases exponentially with increasing band gap.

 

Posted by

Kuldeep Maurya

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