A hypothetical gas consists of four indistinguishable particles. Each particle may sit in one of live allowed quantum states, with energies e, 3e, 5e, 7e and 9e. Assume that the total energy of the gas is fixed at 16e. A. If the particles are bosons:Draw diagrams to indicate all seven of the allowed conscurations of the gas. What is the probabilty of finding two or more particles in the state of energy 3e?What is the average number of particles in the state of energy 3e? B. If the particles are fermions: Draw diagrams to indicate all of the allowed configurations of the gas. What is the probability of finding two or more particles in the state of energy 3e? What is the average number of particles in the state of energy 3e? C. If the particles were distinguishable (labelled): Briefly explain whether there would be more of fewer configurations available for the gas than in the case of bosons.Brietly explain whether the probability of finding two or more particles in the same state would be higher or lower than in the case of bosons. What does this imply about the sociability of bosons?

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Answered: A hypothetical gas consists of four…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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A hypothetical gas consists of four indistinguishable particles. Each particle may sit in one of live allowed quantum states, with energies e, 3e, 5e, 7e and 9e. Assume that the total energy of the gas is fixed at 16e.

A. If the particles are bosons:

Draw diagrams to indicate all seven of the allowed conscurations of the gas.
What is the probabilty of finding two or more particles in the state of energy 3e?
What is the average number of particles in the state of energy 3e?

B. If the particles are fermions:

Draw diagrams to indicate all of the allowed configurations of the gas.
What is the probability of finding two or more particles in the state of energy 3e?
What is the average number of particles in the state of energy 3e?

C. If the particles were distinguishable (labelled):

Briefly explain whether there would be more of fewer configurations available for the gas than in the case of bosons.
Brietly explain whether the probability of finding two or more particles in the same state would be higher or lower than in the case of bosons. What does this imply about the sociability of bosons?

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