Which of the following statements is incorrect?

  • A
    The resistivity of a semiconductor increases with temperature.
  • B
    Materials with an energy gap of $10 \text{ eV}$ are insulators.
  • C
    In conductors, the valence and conduction bands overlap each other.
  • D
    The conductivity of a semiconductor increases with temperature.

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$(i)$ There are no free electrons at $0\, K$.
$(ii)$ There are no free electrons at any temperature.
$(iii)$ The number of free electrons increases with temperature.
$(iv)$ The number of free electrons is less than that in a conductor.

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