Q $2($a$)[18$ Marks$]($i$)$ Estimate the intrinsic carrier concentration ratio between silicon and diamond at $700$ K assuming band gaps of $1\mathrm{.}1$ eV and $5\mathrm{.}5$ eV$,$ respectively. Assume the densities of states are identical for both materials $[10].($ii$)$ If the intrinsic carrier concentration for silicon is $4$ x $1016$ cm$-3,$ calculate the intrinsic carrier concentration value for diamond $[8].$ Q $2($b$)[12$ Marks$]$ Consider a sample of GaAs with electron effective mass of $0\mathrm{.}067$ m$0.$ If an electric field of $1$ kV$/$cm is applied, what is the drift velocity if the average time between collisions for the electrons is $10-11$ s