Q$11$T$\mathrm{.}11$ Suppose we increase the absolute temperature of a semiconductor from $200$ K to $300$ K$.$ By roughly what factor does this make the semiconductor more conductive?

$($Hint: How much more likely is it for a conduction band energy level to be occupied by an electron?$)$

$1\mathrm{.}5$ times

$3$ times

$4\mathrm{.}5$ times

$20$ times

$$One cannot tell with the information given.