Question

# In metals, the time of relaxation of electrons

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

Solution

## The correct option is B decreases with increasing temperatureResistivity 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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