The conductivity of a semiconductor increases with temperature because

Moderate

A

Number density of free current charge carriers increases.
B

Relaxation time increases.
C

Both number density of carriers and relaxation time increases but effect of increase in relaxation time is much less than increase in number density.
D

Number density of carriers increases, relaxation time decreases but effect of decrease in relaxation time is much less than increase in number density.

Solution

i = eA ( $n_{1} V_{1} + n_{2} V_{2}$ ) with increase in temperature the both $V_{1}$ and $V_{2}$ the drift velocities for both the charge carriers decreases and relaxation time decreases due to frequent collision but generation of free charge carriers increases more due to increase in temperature.

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