When an electron makes a transition between

Chapter 7, Problem 7.135

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When an electron makes a transition between energy levels of a hydrogen atom, there are no restrictions on the initial and final values of the principal quantum number n. However, there is a quantum mechanical rule that restricts the initial and final values of the orbital angular momentum /. This is the selection rule, which states that / 5 61; that is, in a transition, the value of / can only increase or decrease by one. According to this rule, which of the following transitions are allowed: (a) 2s 1s, (b) 3p 1s, (c) 3d 4f , (d) 4d 3s? In view of this selection rule, explain why it is possible to observe the various emission series shown in Figure 7.11

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