The diagram shows the energy levels for an electron in a certain atom. Which transition shown represents the emission of a photon with the most energy?

The energy of an emitted photon is equal to the difference in energy between the initial and final levels ($\Delta E=E_{initial}-E_{final}$).In the provided diagram:Transition I: $n=3\to n=2$ Transition II: $n=4\to n=3$ Transition III: $n=4\to n=1$ (Largest jump)Transition IV: $n=2\to n=1$ The transition from the highest level shown ($n=4$) to the lowest level ($n=1$) represents the maximum energy difference. Thus, Transition III represents the emission of a photon with the most energy.