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If the temperature of a good conductor decreases, how does the relaxation time of electrons in the conductor change?


When the temperature of a good conductor decreases, the number of collisions of electrons also decreases. Hence, the time of free travel increases or relaxation time increases.
                             OR
If the temperature of a good conductor decreases, its resistance decreases. Since,
R=ρlA 
 
R = mne2τlA0,  R 1/τ  τ 1/R; 

so time of relaxation increases.

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