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1185_Physics ProblemsTechnical Physics

1185_Physics ProblemsTechnical Physics - 526 P42.22 Atomic...

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526 Atomic Physics P42.22 The hydrogen ground-state radial probability density is P r r r a r a s a f = = F H G I K J 4 4 2 2 1 2 2 0 3 0 π ψ exp . The number of observations at 2 0 a is, by proportion N P a P a a a e e e a a a a = = = = 1 000 2 2 1 000 2 2 1 000 16 797 0 0 0 2 0 2 4 3 0 0 0 0 b g b g b g b g a f times . Section 42.6 Physical Interpretation of the Quantum Numbers Note : Problems 17 and 25 in Chapter 29 and Problem 68 in Chapter 30 can be assigned with this section. P42.23 (a) In the 3 d subshell, n = 3 and A = 2 , we have n 3 3 3 3 3 3 3 3 3 3 A 2 2 2 2 2 2 2 2 2 2 m A +2 +2 +1 +1 0 0 –1 –1 –2 –2 m s +1/2 –1/2 +1/2 –1/2 +1/2 –1/2 +1/2 –1/2 +1/2 –1/2 (A total of 10 states) (b) In the 3 p subshell, n = 3 and A = 1 , we have n 3 3 3 3 3 3 A 1 1 1 1 1 1 m A +1 +1 +0 +0 –1 –1 m s +1/2
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