Question

No two particles can occupy the same state is the consequence of:

• A. Maxwell-Boltzmann Distribution
• B. Bose-Einstein Distribution
• C. Fermi-Dirac Distribution
• D. Classical Distribution

Hint:

The Fermi-Dirac distribution explains why metals are good conductors (many electrons are easily excited), and why insulators are poor conductors (few electrons are easily excited).

Answer 1

The Correct Option is C

The principle that no two fermions can occupy the same quantum state is the Pauli Exclusion Principle. The Fermi-Dirac distribution is used to describe the statistical behavior of fermions. These are particles that obey the Pauli exclusion principle and have half-integer spin (e.g. electrons, protons, neutrons).
• Fermi-Dirac distribution: This describes how fermions are distributed among different energy levels, where each level can be occupied by at most one particle. This distribution incorporates the Pauli Exclusion Principle.
• Maxwell-Boltzmann distribution: This describes the statistical behavior of classical (distinguishable) particles and is used for ideal gases at high temperatures. It does not incorporate the Pauli Exclusion principle and assumes that the particles can occupy any state in any number.
• Bose-Einstein distribution: Describes how bosons are distributed. Bosons have integer spin (e.g. photons, gluons, and phonons) and can occupy the same quantum state with no limit to the number of particles per state.
The Pauli Exclusion Principle, is a direct consequence of the Fermi-Dirac statistics and explains the structure of atoms, molecules, nuclei etc.