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

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Both $n_{e}$ and resistance decrease

$n_{e}$ decreases, resistance increases

$n_{e}$ increases, resistance decreases

Both $n_{e}$ and resistance increase

answer is B.

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Detailed Solution

When temperature is increased, electrons in valency bond jump to the conduction band there by increasing the number of electrons in the conduction band(n_e).
The resistivity of a semiconductor is inversely proportional to n_e. Therefore resistance decreases with increase in temperature.

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