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Question

In which transition ,one quantum of energy is emitted? Explain

(Multiple correct answer type)

A) n= 4 to n= 2 . B) n=3 to n=1 . C) n=4 to n=1 D)n=2 to n=1

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Solution

Dear Student,

Selection rule (
In physics and chemistry, a selection rule, or transition rule, formally constrains the possible transitions of a system from one quantum state to another. Selection rules have been derived for electromagnetic transitions in molecules, in atoms, in atomic nuclei, and so on. The selection rules may differ according to the technique used to observe the transition.) restrict which transitions can result in the absorption or emission of a photon. However, such transitions are always possible between any 2 states with a different principal quantum number n.

Each options of transition given above can result in the emission of a single photon, with different energy level. Absorption or emission will result in only 1 photon at a time. So all the options given in the question are correct.

The largest release of energy is usually the most likely to occur- provided that other quantum numbers can change according to the selection rules. So for a hydrogen atom excited to the n=4 level the transition 4→1 is most likely to happen, with the emission of a single photon. But nothing prevents the transitions 4→2 or 4→3 instead, with later transitions 2→1 or 3→1 or 3→2→1 eventually leading down to the n=1 level, with the emission of more photons - again 1 for each transition. These possibilities of transitions are much less likely but not impossible, and represent a small proportion of the transitions which do occur.

So allthe givenoptions are correct. This complexity is due tothe selection rule prevailing in physics and chemistry closely related with the quantum mechanics


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