Choose the true statement that compares and contrasts the Maxwell-Boltzmann (MB) distribution, the Fermi-Dirac (FD) distribution, and the Bose-Einstein (BE) distributions

a. The MB, FD, and BE statistical factors agree only at low particle energies.
b. The MB distribution models only low-density material, while both the FD and BE distributions can model higher density material.
c. The MB statistical factor goes to infinity at low particle energies, while the FD statistical factor goes to 1/2 and the BE statistical factor goes to 1.
d. The MB and FD distributions work only for distinguishable particles while the BE distribution works for indistinguishable particles.
e. The MB distribution works for particles with integer spin, the FD distribution works for particles with half-integer spin, and the BE distribution works for particles with any value of spin.

b.
The MB distribution is only accurate for ideal gases and other dilute substances where the intermolecular/interatomic reactions do not have a significant impact on particle behavior. Both of the other two can model higher density material such as liquids or solids.

Physics & Space Science

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