In a semiconductor,

Carbon, Silicon, and Germanium atoms have four valence electrons each. Their valence and conduction bands are separated by energy band gaps represented by ${\left({\mathrm{E}}_{\mathrm{g}}\right)}_{\mathrm{C}},{}_{}$ ${\left({\mathrm{E}}_{\mathrm{g}}\right)}_{\mathrm{Si}}$, and ${\left({\mathrm{E}}_{\mathrm{g}}\right)}_{\mathrm{Ge}}$ respectively. Which one of the following relationships is true in their case?

1. ${\left({\mathrm{E}}_{\mathrm{g}}\right)}_{\mathrm{C}}<{\left({\mathrm{E}}_{\mathrm{g}}\right)}_{\mathrm{Ge}}$

2. ${\left({\mathrm{E}}_{\mathrm{g}}\right)}_{\mathrm{C}}>{\left({\mathrm{E}}_{\mathrm{g}}\right)}_{\mathrm{Si}}$

3. ${\left({\mathrm{E}}_{\mathrm{g}}\right)}_{\mathrm{C}}={\left({\mathrm{E}}_{\mathrm{g}}\right)}_{\mathrm{Si}}$

4. ${\left({\mathrm{E}}_{\mathrm{g}}\right)}_{\mathrm{C}}<{\left({\mathrm{E}}_{\mathrm{g}}\right)}_{\mathrm{Si}}$

$\mathrm{C}$, $\mathrm{Si}$, and $\mathrm{Ge}$ have the same lattice structure. Why is the $\mathrm{C}$ insulator?

Hole is:

Let $n_{p}$ and $n_{e}$ be the number of holes and conduction electrons in an intrinsic semiconductor. Then:
1. $n_{p}> n_{e}$
2. $n_{p}= n_{e}$
3. $n_{p}< n_{e}$
4. $n_{p}\neq n_{e}$

A $\mathrm{p}\text-$type of semiconductor is:
1. positively charged
2. negatively charged
3. uncharged
4. uncharged at $0~\text{K}$ but charged at higher temperatures

Which of the following is correct for $\mathrm{n}$-type semiconductors?