Ncert Exercises & Solutions

Temperature dependence of resistivity $ρ$ (T) of semiconductors, insulators, and metals is significantly based on the following factors:

1.	number of charge carriers can change with temperature T
2.	the time interval between two successive collisions can depend on T
3.	length of material can be a function of T
4.	mass of carriers is a function of T

Which of the above statements is correct?

1. (a, b)

2. (c, d)

3. (b, c)

4. (b, d)

(1) Hint: The resistivity of a material depends on the no. of free electrons and the no. of collisions between them.

Step 1: Find the resistivity of the conductor.

The resistivity of a metallic conductor is given by,

$ρ = \frac{m}{{ne}^{2} τ}$

where n is the number of charge carriers per unit volume which can change with temperature T and it is the time interval between two successive collisions which decreases with the increase of temperature in metals.

Also, the no. of charge carriers in semiconductors increases with temperature.

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