CBSE Class 12 Physics 2019 Outside Delhi Set 1 Paper

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Question : 24
Total: 27
Show, on a plot, variation of resistivity of (i) a conductor, and (ii) a typical semiconductor as a function of temperature.
Using the expression for the resistivity in terms of number density and relaxation time between the collisions, explain how resistivity in the case of a conductor increases while it decreases in a semiconductor, with the rise of temperature.
Solution:  
● Showing the plot of variation of resistivity
● Expression for resistivity
● Explaining variation of resistivity for conductor and semiconductor

ρ=
m
ne2τ

● In case of conductors with increase in temperature, relaxation time decreases, so resistivity increases.
● In case of semiconductors with increase in temperature, number density (n) of free electrons increases, hence resistivity decreases.
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