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KCET · Physics · Semiconductors

The conductivity of semiconductor increases with increase in temperature because

  1. A both number density of charge carriers and relaxation time increase
  2. B number density of charge carriers increases
  3. 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
  4. D relaxation time increases
Verified Solution

Answer & Solution

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

Step-by-step Solution

Detailed explanation

(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.