Appendix F Answers to exercises
Chapter 1
1 = 8 4; average distribution (1.33, 1.00, 0.71, 0.48, 0.29, 0.15, 0.05, 0, 0 ...) is
almost exponential, as for a large assembly (Chapter 2).
Chapter 3
1 2. 6 μB/kkkB.
25. 7 μK to 22 mK; 91kHz.
4 Note thatZis a perfect square. The limiting value ofSisNkBln4.
Chapter 5
1 (a) 9; (1.33, 1.00, 0.78, 0.44, 0.22, 0.11, 0.11, 0,0, ...)
(b) 1; (1, 1, 1, 1, 0, 0, 0...).
2 ni/gi= 1 /{exp[−(α+βεi)]− 1 }
−(((p+ 1 )/{exp[−(((p+ 1 )(α+βεi)]− 1 }
Chapter 7
11 .24%.
2 (a)2.1 K,(b) 85 K,(c)43 K,(d)64 K.
3 (b) 2, (c) pure ortho-deuterium.
4 xNkBT/V,yNkB.
Chapter 8
1 7.1 eV,82 000 K,1.7× 106 ms−^1.
25 .1 K.
4 (a) 139K, 0. 012 eV,(c)μ/kkkB≈− 2 25 K.
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