Temperature dependence of resistivity $ρ$ (T) of semiconductors, insulators and metals is significantly based on the following factors:
a) number of charge carriers can change with temperature T.
b) time interval between two successive collisions can depend on T.
c) length of material can be a function of T.
d) mass of carriers is a function of T.

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a & b are true

a, b & c are true

All are true

b & d are true

answer is A.

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Detailed Solution

We know that resistivity ( ρ ) depends on mass of charge-carrier (m), relaxation time ( τ ). Length and mass cannot be function of T as the mass of a body is constant everywhere.

As τ decreases on increasing T due to the rise in the speed of change-carriers and n increases on increasing temperature.

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