The effect of increase in temperature on the number of electrons in conduction band $$(n_e)$$ and resistance of a semiconductor will be as:

In a semiconductor, increasing the temperature has two effects:

1. Number of electrons in conduction band ($$n_e$$) increases:

Higher temperature provides more thermal energy to electrons in the valence band, allowing more of them to overcome the band gap and jump to the conduction band. This increases $$n_e$$.

2. Resistance decreases:

With more charge carriers (both electrons and holes) available for conduction, the conductivity of the semiconductor increases. Since resistance is inversely proportional to conductivity, the resistance decreases.

Therefore, $$n_e$$ increases and resistance decreases with increasing temperature.