With reference to conductors, consider the following statements:
- 1. The valence band and the conduction band overlap each other.
- 2. The resistivity of a conductor decreases exponentially with temperature.
- 3. Conductors conduct electric current less than semiconductors and more than insulators.
Which of the above statements is/are correct?
- AOnly the second and third statements
- BOnly the second statement
- COnly the first and second statements
- DOnly the first statement
Show answer and explanation
Correct answer: (d) Only the first statement
Explanation
- Statement 1 is correct: in a conductor, the valence band and the conduction band overlap, so electrons move freely and carry current.
- Statement 2 is wrong: a conductor's resistivity increases with temperature, roughly in proportion to it, because the vibrating atoms scatter the electrons more. It is a semiconductor whose resistivity falls, roughly exponentially, as the temperature rises.
- Statement 3 is wrong: conductors conduct better than semiconductors, which in turn conduct better than insulators.
So only the first statement is correct.