pccupation number states for each mac

Question
3. Five indistinguishable particles are to be distributed among the 4 equally spaced energy levels
(shown in the table) with no restriction on the number of particles in each energy state. The total
energy is to be 12ɛ.
Energy
Energy
Units (ɛ)
Degeneracy g
Level
(a) In a diagram, specify the occupation number of each level for
each possible macrostates.
(b) Find the number of microstates for each macrostate,
(c) Calculate the average occupation number of each level in the
assembly.
(d) What is the most probable macrostate?
(e) If the particles were fermions, identify the allowed macrostates of your system.
E1
E2
E3
1
1
2
3
3
4
E4
4
5
Transcribed Image Text:3. Five indistinguishable particles are to be distributed among the 4 equally spaced energy levels (shown in the table) with no restriction on the number of particles in each energy state. The total energy is to be 12ɛ. Energy Energy Units (ɛ) Degeneracy g Level (a) In a diagram, specify the occupation number of each level for each possible macrostates. (b) Find the number of microstates for each macrostate, (c) Calculate the average occupation number of each level in the assembly. (d) What is the most probable macrostate? (e) If the particles were fermions, identify the allowed macrostates of your system. E1 E2 E3 1 1 2 3 3 4 E4 4 5
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