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

Options

A. increases expon entially with increasing band gap
B. decreases exponentially with increasing band gap
C. decreases with increasing temperature
D. is independent of the temperature and the band gap

Answer

B

Explanation

`N = N_0e^(-E_g//K_BT` where `E_g` is the band gap. At a finite temperature, the probability of jumping of an electron from the valence band to the conduction band decreases exponentially with increasing band gap.