How does the relaxation time of electron in the conductor change when temperature of the counductor deacreses ?
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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=ρ
lA
R=ρlA
R = m
ne2
τ
lA≤0,
R∝ 1/τ
⇒τ∝ 1/R;
R = mne2τlA≤0, R∝ 1/τ ⇒τ∝ 1/R;
so time of relaxation increases.
OR
If the temperature of a good conductor decreases, its resistance decreases. Since,
R=ρ
lA
R=ρlA
R = m
ne2
τ
lA≤0,
R∝ 1/τ
⇒τ∝ 1/R;
R = mne2τlA≤0, R∝ 1/τ ⇒τ∝ 1/R;
so time of relaxation increases.
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