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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}}} ; \text { where } k=\text { Boltzmann's constant }}
Hence, at a finite temperature, the probability decreases exponentially with increasing band gap

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Kuldeep Maurya

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