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COMEDK2024PhysicsSemiconductorsActual

In intrinsic semiconductors at room temperature, number of electrons and holes are

Options

  1. Azero
  2. Bunequal
  3. Cequal
  4. Dinfinity

Correct answer

C. equal

Step-by-step solution

In an intrinsic semiconductor, the charge carriers are generated solely due to thermal excitation of electrons from the valence band to the conduction band. When an electron is excited to the conduction band, it leaves behind a vacancy in the valence band, which is referred to as a hole. Since each thermal excitation produces exactly one electron in the conduction band and one hole in the valence band, the number density of electrons n_e is equal to the number density of holes n_h . Therefore, n_e = n_h = n_i , whe

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