As per Matthiessen's rule, the total resistivity r of a conductor can be written as r = ri + aT, where ri and a are constants and T is absolute temperature. At very low temperatures

At very low temperatures a T → 0. Since resistivity has a finite value even at low temperature, a T < ri.

Correct Answer: aT < ri

Explanation:

At very low temperatures a T → 0. Since resistivity has a finite value even at low temperature, a T < r_i.

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