GATE EC 2025 Set 1 Q36 — Electronic Devices

The intrinsic carrier concentration of a semiconductor is $2.5 \times 10^{16} / \mathrm{m}^{3}$ at $300 \: \mathrm{K}$.

If the electron and hole mobilities are $0.15 \mathrm{~m}^{2} / \mathrm{Vs}$ and $0.05 \mathrm{~m}^{2} / \mathrm{Vs}$, respectively, then the intrinsic resistivity of the semiconductor (in $\mathrm{k} \Omega . \mathrm{m}$ ) at $300 \mathrm{K}$ is $\_\_\_\_\_\_\_$.

(Charge of an electron $e=1.6 \times 10^{-19} \mathrm{C}$.)