# Sol-Ch42 - CHAPTER 42 E xercises 1 a(2 1 2 b(12 1 2 2 l l 1...

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Exercises 1. (a) (2) 1/2 ћ ; (b) (12) 1/2 ћ 2. [ l ( l + 1) 1/2 ] = 3.46, l ( l + 1) = 12, so l = 3. 3. n = 4, l = 2, m l = 0, ±1, ±2, m s = ±1/2 4. L z = 0, +ћ 5. (a) 0, ±ћ; (b) 90 ° , ±45 ° 6. 0, +1, +2 7. (a) l = 4; (b) n ≥ 5 8. (a) l = 0, 1, 2; m l = 0, +1, +2 (9 states); (b) E = –13.6Z 2 /n 2 = –6.04 eV 9. (a)E = –13.6Z 2 /n 2 = –30.6 eV; (b) l = 0, 1; m l = 0, ±1 10. cosθ = L z /L = m /[ l ( l + 1)] 1/2 = 4/(20) 1/2 , so θ = 26.6 ° 11. L/ћ = 2.448 = [ l ( l + 1)] 1/2 , thus l = 2. Maximum L z = 2ћ 12. States for :2, 6, 10, 14, 18, 22 States for n; 2, 8, 18, 32, 50, or 2n 2 for each n. 13. L 2 = l ( l + 1)h = (L x 2 + L y 2 ) + L z 2 = (L x 2 + L y 2 ) + m l 2 ћ 2 14. (a) ∆ Ф is completely unknown; (b) L x and L y are unknown. 15. From Eq. 42.8, P = 4πr o 2 (1/πr o 3 )e –2 = (4/r o )e –2 = 0.54/r 0 = 1.02 ×  10 10 16. From Eq. 42.9: P = e –1 /8r o = 8.68 ×  10 7 CHAPTER 42

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17. (a) e –1 /r o = 0.37/r 0 ; (b) 4e –2 /r o = 0.54/r 0 ; (c) 16e
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Sol-Ch42 - CHAPTER 42 E xercises 1 a(2 1 2 b(12 1 2 2 l l 1...

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