Classify each of the following as being either a $p$-type or a $n$-type semiconductor:
$(i)$ $Ge$ doped with $In$
$(ii)$ $Si$ doped with $B$.

(A) $(i)$ $Ge$ (a group $14$ element) is doped with $In$ (a group $13$ element). Since $In$ has one less valence electron than $Ge$,a hole is created,resulting in a $p$-type semiconductor.
$(ii)$ $Si$ (a group $14$ element) is doped with $B$ (a group $13$ element). Similar to the first case,$B$ has one less valence electron than $Si$,creating a hole,which also results in a $p$-type semiconductor.