STANDARDPhysics-Semiconductors

STANDARD Physics Conductivity MCQ Question

Type: MCQ-numerical-Medium

Mobilities of electrons and holes in a sample of intrinsic germanium at room temperature are 0.54 m² V⁻¹ s⁻¹ and 0.18 m² V⁻¹ s⁻¹ respectively. If the electron and hole densities are equal to 3.6 × 10¹⁹ m⁻³ the conductivity of germanium is

A

4.15 S m⁻¹

B

2.12 S m⁻¹

C

1.13 S m⁻¹

D

5.6 S m⁻¹

Correct Answer

Option B

Detailed Explanation

The conductivity of a semiconductor in terms of number density and mobility is given by σ = e(μₑnₑ + μₕnₕ), where μₑ and μₕ denote mobility of electron and hole, nₑ and nₕ is the number density of electron and hole respectively. Substituting given values, we have 1.6 × 10⁻¹⁹ (0.36 + 0.17) (2.5 × 10¹⁹) = 2.12 S m⁻¹.

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