MCQEasyJEE 2023Semiconductors Basics

JEE Physics 2023 Question with Solution

The effect of increase in temperature on the number of electrons in conduction band (nen_e) and resistance of a semiconductor will be:

  • A

    Both nen_e and resistance decrease

  • B

    Both nen_e and resistance increase

  • C

    nen_e increases, resistance decreases

  • D

    nen_e decreases, resistance increases

Answer

Correct answer:C

Step-by-step solution

Standard Method

Given: The question asks the effect of increase in temperature on the number of electrons in conduction band nen_e and the resistance of a semiconductor.

Find: How nen_e and resistance change when temperature increases.

In a semiconductor, as temperature increases, more electrons gain sufficient thermal energy to move to the conduction band. Therefore, the number of free charge carriers increases.

ne increases with temperaturen_e \text{ increases with temperature}

Since conductivity increases when the number of charge carriers increases, the resistance decreases.

More charge carriershigher conductivitylower resistance\text{More charge carriers} \Rightarrow \text{higher conductivity} \Rightarrow \text{lower resistance}

Therefore, nen_e increases and resistance decreases. The correct option is C.

Common mistakes

  • Confusing semiconductors with metallic conductors. In metals, resistance usually increases with temperature, but in semiconductors the increase in charge carriers dominates. Use semiconductor carrier behavior, not metallic resistance trends.

  • Assuming that higher temperature always means higher resistance. That rule is not universal. For semiconductors, temperature raises the number of conduction electrons, so resistance decreases.

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