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Question

In metals, the time of relaxation of electrons


A
increases with increasing temperature
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B
decreases with increasing temperature
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C
does not depend on temperature
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D
changes suddenly at 400K
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Solution

The correct option is B decreases with increasing temperature
Resistivity of a material is given by $$\displaystyle\rho=\dfrac{m}{ne^2\tau}$$ 

where $$m=$$mass of electron, $$ n=$$ electron density, $$e=$$ electronic charge and $$\tau=$$ relaxation time.

Resistance $$\displaystyle R=\dfrac{\rho l}{A}=\dfrac{ml}{ne^2\tau A}$$ or $$\displaystyle R \propto \dfrac{1}{\tau}$$

Since in metals Resistance increases with temperature so the relaxation of electrons decreases with increasing temperature.

Physics

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