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1187_Physics ProblemsTechnical Physics

1187_Physics ProblemsTechnical Physics - 528 Atomic Physics...

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528 Atomic Physics P42.28 For a 3 d state, n = 3 and A = 2 . Therefore, L = + = = × A A = = 1 6 2 58 10 34 a f . J s m A can have the values –2, –1, 0, 1, and 2 so L z can have the values and 2 0 2 = = = = , , , . Using the relation cos θ = L L z we find the possible values of θ 145 114 90 0 65 9 35 3 ° ° ° ° ° , , . , . , . and . P42.29 (a) Density of a proton: ρ π = = × × = × m V 1 67 10 1 00 10 3 99 10 27 15 3 17 . . . kg 4 3 m kg m 3 b g e j . (b) Size of model electron: r m = F H G I K J = × × F H G G I K J J = × 3 4 3 9 11 10 4 3 99 10 8 17 10 1 3 31 17 1 3 17 π ρ π . . . kg kg m m 3 e j e j . (c) Moment of inertia: I mr = = × × = × 2 5 2 5 9 11 10 8 17 10 2 43 10 2 31 17 2 63 . . . kg m kg m 2 e je j L I Iv r z = = = ω = 2 . Therefore, v r I = = × × × × = × = 2 6 626 10 8 17 10 2 2 2 43 10 1 77 10 34 17 63 12 . . . . J s m kg m m s 2 e je j e j π . (d) This is 5 91 10 3 . × times larger than the speed of light. P42.30 In the N shell, n = 4 . For n = 4 , A can take on values of 0, 1, 2, and 3. For each value of
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