If $\mathrm{n}_{\mathrm{e}}$ and $\mathrm{n}_{\mathrm{h}}$ are concentrations of electrons and holes in a…
If $\mathrm{n}_{\mathrm{e}}$ and $\mathrm{n}_{\mathrm{h}}$ are concentrations of electrons and holes in a semi-conductor, then the intrinsic carrier concentration $\left(\mathrm{n}_1\right)$ in thermal equilibrium is
$n_1=\sqrt{\frac{n_e}{n_h}}$
$n_1=\frac{n_h}{n_e}$
$n_1=\sqrt{n_e n_h}$
$n_1=n_e+n_h$
Solution
At thermal equilibrium,
$n_i^2=n_e n_h \Rightarrow n_i=\sqrt{n_e n_h}$