JEE Main & Advanced AIEEE Solved Paper-2004

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

    A) each of them increases

    B) each of them decreases

    C) copper decreases and germanium increases

    D) copper increases and germanium decreases

    Correct Answer: C

    Solution :

    We know that resistance of conductor is directly proportional to temperature\[(i.e.,R\propto \Delta t)\]while resistance   of   semiconductor is inversely proportional to temperature\[\left( i.e.,R\propto \frac{1}{\Delta t} \right)\]. Therefore, it is clear that resistance of conductor decreases with decrease in temperature or vice-versa, while in case of semiconductor, resistance increases with decrease in temperature and 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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