Q127 / 180 · KCET 2019 · Physics

The conductivity of semiconductor increases with increase in temperature because

  • A
    both number density of charge carriers and relaxation time increase
  • B
    number density of charge carriers increases
  • Correct answer
    C
    number density of current carriers increases, relaxation time decreases but effect of
    decrease in relaxation time is much less than increase in number density
  • D
    relaxation time increases

Solution

(C)
As temperature increases the number density of charge carries increases according to the equation \( \mathrm{n}=C T^{\frac{3}{2}} \cdot \exp \)
\( \left(-\frac{E}{2} k T\right) \). Thus as temperature increases, the number density of charge carries increase resulting in conductivity
ofsemiconductors.

Hence, the correct answer is option: 'C'.

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