In a certain temperature range, the electrical conductivity

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In a certain temperature range, the electrical conductivity of a semiconductor increases with increase in temperature. This is because:

1. both carrier concentration and mobility of carriers increase with increasing temperature
2. both carrier concentration and mobility of carriers decrease with increasing temperature
3. the carrier concentration increases substantially, but the mobility of carriers decreases with increase in temperature
4. the carrier concentration remains constant but the mobility of carriers increases in temperature

Correct Option: C

In a certain temperature range, the electrical conductivity of a semiconductor increases with increase in temperature. This is because the carrier concentration increases substantially, but the mobility of carriers decreases with increase in temperature since, µ ∝ T^–m where µ is mobility, T is temperature and n is constant.