Modern Physics, 3rd Edition
Modern Physics, 3rd Edition
3rd Edition
ISBN: 9780534493394
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 10, Problem 1Q
To determine

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein; the difference and similarity among them.

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Answer to Problem 1Q

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.

Explanation of Solution

Assumptions of Maxwell-Boltzmann distribution are given below.

  • Physical properties of particles are same but their position or trajectory is different; it means particles are distinguishable.
  • Most probable way to distribute the particles among various energy states is equilibrium distribution that is subjected to constraints of fixed number of particles and fixed total energy.
  • There is no limit on number of particles in a state but not more than one particle can lie in a given state at same time because of low density and high temperature of particles.

Assumptions of Fermi-Dirac distribution are given below.

  • Particles are indistinguishable.
  • Not more than one particle can lie in a given state.

Assumptions of Bose-Einstein distribution are given below.

  • Particles are indistinguishable.
  • There is no limit on number of particles in a state.

Conclusion:

Thus, the basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.

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