When an electron makes a transition between energy levels of an atom, there are no restrictions on the initial and final values of the principal quantum number n According to quantum mechanics, however, there is a rule that restricts the initial and final values of the orbital quantum number This rule is called a selection rule and states that 1 In other words, when an electron makes a transition between energy levels, the value of can only increase or decrease by one The value of may not remain the same nor may it increase or decrease by more than one According to this rule, which of the following energy level transitions are allowed (a) 2s 1s (b) 2p 1s (c) 4p 2p (d) 4s 2p (e) 3d 3s

Question: When an electron makes a transition between energy levels of an atom, there are no restrictions on the initial and final values of the principal

When an electron makes a transition between energy levels of an atom, there are no restrictions on the initial and final values of the principal quantum number n. According to quantum mechanics, however, there is a rule that restricts the initial and final values of the orbital quantum number ℓ. This rule is called a selection rule and states that ∆ℓ = ± 1. In other words, when an electron makes a transition between energy levels, the value of ℓ can only increase or decrease by one. The value of ℓ may not remain the same nor may it increase or decrease by more than one. According to this rule, which of the following energy level transitions are allowed?

(a) 2s → 1s

(b) 2p → 1s

(d) 4s → 2p

(e) 3d → 3s

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