Question:
Which statistics is used to explain free electron gas?
Which statistics is used to explain free electron gas?
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Electrons are fermions, so free electron gas is explained using Fermi-Dirac statistics.
Updated On: May 19, 2026
- Maxwell-Boltzmann statistics
- Bose-Einstein statistics
- Fermi Dirac statistics
- Maxwell-Boltzmann and Bose Einstein statistics
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The Correct Option is C
Solution and Explanation
Concept:
Electrons are fermions. Fermions obey Pauli exclusion principle and follow Fermi-Dirac statistics.
Step 1: Identify the particles.
Free electron gas consists of electrons. \[ \text{Electrons}=\text{fermions} \]
Step 2: Statistics followed by fermions.
Fermions follow: \[ \text{Fermi-Dirac statistics} \]
Step 3: Eliminate other options.
Maxwell-Boltzmann statistics applies to classical particles.
Bose-Einstein statistics applies to bosons. \[ \therefore \text{Correct Answer is (C)} \]
Electrons are fermions. Fermions obey Pauli exclusion principle and follow Fermi-Dirac statistics.
Step 1: Identify the particles.
Free electron gas consists of electrons. \[ \text{Electrons}=\text{fermions} \]
Step 2: Statistics followed by fermions.
Fermions follow: \[ \text{Fermi-Dirac statistics} \]
Step 3: Eliminate other options.
Maxwell-Boltzmann statistics applies to classical particles.
Bose-Einstein statistics applies to bosons. \[ \therefore \text{Correct Answer is (C)} \]
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