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CUET · PHYSICS · PYQ PAPER 2023

If \( n_h \) is the number of holes per unit volume and \( n_e \) is the number of conduction electrons per unit volume in an extrinsic semiconductor. The relation between \( n_h, n_e \) and \( n_i \) is (\( n_i \) is intrinsic carrier concentration):

  1. A \( n_i^2 = n_e n_h \)
  2. B \( n_i = n_e n_h \)
  3. C \( n_e = n_h \)
  4. D \( n_i^2 > n_e n_h \)
Verified Solution

Answer & Solution

Correct Answer

(A) \( n_i^2 = n_e n_h \)

Step-by-step Solution

Detailed explanation

According to the Law of Mass Action, the product of the free electron concentration and the hole concentration in a semiconductor at thermal equilibrium is constant. This product always equals the square of the intrinsic carrier concentration, regardless of whether the…