Choose the only false statement from the following.
- In conductors the valence and conduction bands overlap.
- Substances with energy gap of the order of 10 eV are insulators.
- The resistivity of a semiconductor increases with increase in temperature.
- The conductivity of a semiconductor increases with increase in temperature.
Answer
(3) The resistivity of a semiconductor increases with increase in temperature.
Solution
(1) True: in metals (conductors) the conduction band and valence band overlap (or the conduction band is partly filled).
(2) True: as per NCERT, insulators have Eg > 3 eV, so a gap of about 10 eV means an insulator.
(3) False: on heating a semiconductor more electrons cross the band gap, so the number of charge carriers increases and resistivity decreases.
(4) True: for the same reason the conductivity increases with temperature.
Answer: (3)