Given: The question asks the effect of increase in temperature on the number of electrons in conduction band ne and the resistance of a semiconductor.
Find: How ne and resistance change when temperature increases.
In a semiconductor, as temperature increases, more electrons gain sufficient thermal energy to move to the conduction band. Therefore, the number of free charge carriers increases.
ne increases with temperatureSince conductivity increases when the number of charge carriers increases, the resistance decreases.
More charge carriers⇒higher conductivity⇒lower resistanceTherefore, ne increases and resistance decreases. The correct option is C.