Ncert Exercises & Solutions

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

(a)	number of charge carriers can change with temperature $T$ .
(b)	the 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 $T$ .

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,

$ρ = \frac{m}{{ne}^{2} τ}$ $ρ = \frac{m}{{ne}^{2} τ}$

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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