Question

Calculate the probability of an electron occupying an energy level 0.02 eV above the Fermi level at 200 K. *

Answer 1

Given that,

Temperature = 200 K

Energy level = 0.02 eV

We need to calculate the probability of an electron

Using formula of probability

$f_{E}=\dfrac{1}{e^{\frac{E-E_{F}}{kT}}+1}$

If temperature increases above 0K

Then, $E =E_{f}$

$f_{E}=\dfrac{1}{e^{\frac{0}{kT}}+1}$

Put the value into the formula

$f_{E}=\dfrac{1}{e^{\frac{0}{1.38\times10^{-23}\times200}}+1}$

$f_{E}=0.5$

Hence, The probability of an electron is 0.5.