Answer :

As the atom is in n=4 state, so while making a transition from n=4 to n=2 state, the transitions it will undergo are


In the first case, n=432



Thus, for the first case,


n=3 and m=4 (as the atom first makes transition from 4th state to 3rd state)


Thus the wavelength will be,





Second case is when the atom makes transition from n=3 to m=2.


Thus,





Third case is when the atom will make the transition from 4th state to directly to 3rd state. At that time, n=4 and m=2,




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