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A piece of copper and another of germanium are cooled from room temperature to 77 K, the resistance of 

Option: 1

Each of them increases


Option: 2

Each of them decreases


Option: 3

Copper decreases and germanium increases


Option: 4

Copper increases and germanium decreases


Answers (1)

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We know that resistance of conductor is directly proportional to temperature (ie, \mathrm{R \propto \Delta t}), while resistance of semiconductor is inversely proportional to temperature \left(i e, \mathrm{R \propto \frac{1}{\Delta t}}).
Therefore, it is clear that resistance of conductor decreases with decrease in temperature of vice-versa, while in case of semiconductor, resistance increase with decrease in temperature of vice-versa.
Since, copper is pure conductor and germanium is a semiconductor hence, due to decrease in temperature, resistance of conductor decreases while that of semiconductor increases.

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Divya Prakash Singh

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