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Which of the following statements are true :
Select one or more:
  • a)
    particles following F-D statistics are distinguishable
  • b)
    Particles following F-D statistics are indistinguishable
  • c)
    Particles following Maxwell Boltzmann statistics are indistinguishable.
  • d)
    Particles following B-E statistics are indistinguishable
Correct answer is option 'A,C,D'. Can you explain this answer?
Verified Answer
Which of the following statements are true :Select one or more:a)parti...
For system following F-D statistics, there is a limit on the number of particles occupying a certain energy level. This comes due to the fact that they follow Pauli’s exclusion principle, hence the particles, are distinguishable. Pauli’s exclusion principle on the other hand is not followed by system with B-E statistics and M-B statistics, hence the particles here are considered to be indistinguishable.
The correct answers are: particles following F-D statistics are distinguishable, Particles following B-E statistics are indistinguishable, Particles following Maxwell Boltzmann statistics are indistinguishable.
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Which of the following statements are true :Select one or more:a)parti...
Particles following F-D statistics are distinguishable:
Fermi-Dirac (F-D) statistics describe the behavior of particles known as fermions, which include electrons, protons, and neutrons. According to F-D statistics, these particles are indistinguishable, meaning that two particles cannot occupy the same quantum state simultaneously. However, the statement is incorrect as particles following F-D statistics are actually distinguishable. This is because F-D statistics take into account the spin of the particles, which introduces an additional degree of freedom and allows for the particles to be distinguished from each other.

Particles following Maxwell Boltzmann statistics are indistinguishable:
Maxwell-Boltzmann (M-B) statistics describe the behavior of classical particles, such as atoms and molecules, at non-extreme temperatures. These particles are distinguishable, meaning that they can occupy the same quantum state simultaneously. Therefore, the statement is incorrect as particles following M-B statistics are indistinguishable.

Particles following B-E statistics are indistinguishable:
Bose-Einstein (B-E) statistics describe the behavior of particles known as bosons, which include photons, gluons, and mesons. According to B-E statistics, these particles are indistinguishable, and multiple particles can occupy the same quantum state simultaneously. Therefore, the statement is correct as particles following B-E statistics are indistinguishable.

Summary:
- Particles following F-D statistics are distinguishable because F-D statistics account for the spin of fermions, allowing for their distinction.
- Particles following M-B statistics are indistinguishable as these statistics apply to classical particles where two particles can occupy the same quantum state simultaneously.
- Particles following B-E statistics are indistinguishable as B-E statistics describe the behavior of bosons, allowing for multiple particles to occupy the same quantum state simultaneously.
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Which of the following statements are true :Select one or more:a)parti...
Ans: b and d
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Which of the following statements are true :Select one or more:a)particles following F-D statistics are distinguishableb)Particles following F-D statistics are indistinguishablec)Particles following Maxwell Boltzmann statistics are indistinguishable.d)Particles following B-E statistics are indistinguishableCorrect answer is option 'A,C,D'. Can you explain this answer?
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