- Me Appendix Past Questions Tests Statistical Mechanics 3 I 2 3 4 5 6 7 8 9 10 11 N C C 6 0 041 5 0 088 The Ave 1 (125.81 KiB) Viewed 34 times
me APPENDIX: Past Questions | TESTS - STATISTICAL MECHANICS 3 I 2 3 4 5 6 7 8 9 10 11. N c/c = 6 . 0.041 5 0.088 the average occupation number of each level is printed on the right of the diagram. Study it carefully and answer the 4 0.205 0.410 following: 0.830 (a) Find N. 1.60 (b) .…... .. . %.. 283 What is the total energy of the system? 63 135 135 180 90 270 180 100 216 135 28 (c) (d) (e) What is the total number of macrostates in the assembly? Calculate the total number of microstates in the assembly? Which distribution has the largest thermodynamic probability? What is the multiplicity of the macrostate having one particle with energy 3€, three particles with energy 1e and the remaining particles with no energy? (f) (g) Show that №₁ = 1.60, as indicated. (h) Complete the statement: "The sum of the average occupation numbers is equal to.......". Write down this statement in form of the usual symbols and verify that this is correct for the assembly displayed in the Figure. (i) Explain whether or not the assembly obeys Fermi-Dirac statistics. If not, construct a similar table for fermions, showing only the allowed macrostates. (j) Construct another table for which the particles are electrons. (Don't forget to explain your reasoning - what will be the degeneracy of each level be if the particles were electrons and why?) (k) Construct yet a third table, for which the degeneracy of the levels are as follows: go = 3, 9₁ = 2, 92 = 2, g3 = non-degenerate, 94 = 4, 95 = 3, 96 = 1. . 2 .