The resistivity of a pure semiconductor at $298 \mathrm{~K}$ is $3000 \Omega \mathrm{m}$. Assume that the number of electrons excited $\left(n_{e}\right)$ across the band gap is given by the relation
\[
n_{e}=N_{A} \exp \left(-\frac{E_{g}}{k_{B} T}\right)
\]
$N_{A}$ : Avogadro's number $=6.02 \times 10^{23} \mathrm{~mole}^{-1}$
$k_{B}$ : Boltzmann's constant $=8.62 \times 10^{-5} \mathrm{eV} / \mathrm{K}$
Mobility of electrons in the semiconductor $=0.14 \mathrm{~m}^{2} /(\mathrm{V} \mathrm{s})$
Mobility of holes in the semiconductor $=0.06 \mathrm{~m}^{2} /(\mathrm{V} \mathrm{s})$
Absolute charge of an electron $=1.60 \times 10^{-19} \mathrm{C}$
The band gap $\text{(E_g)}$ of semiconductor
$\text{(Round off to decimals)}$
