Problem: A certain quantum-mechanical system has the energy levels shown in the accompanying diagram. The energy levels are indexed by a single quantum number n that is an integer.As drawn, which quantum numbers are involved in the transition that requires the most energy?

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A certain quantum-mechanical system has the energy levels shown in the accompanying diagram. The energy levels are indexed by a single quantum number n that is an integer.

Energy increases slightly from n equals 1 to n equals 2, and then increases a lot to n equals 3 and even more to n equals 4.

As drawn, which quantum numbers are involved in the transition that requires the most energy?