Which Transition Emits Light With The Shortest Wavelength?

Agustus 24, 2022

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Which one of the transitions would produce a visible blue light? Determine the allowed orbit in this atom. The transition that emits light with the shortest wavelength is n = 5 to n = 1. The energy difference among the given options is the greatest from n = 5 to n = 1 which means it will have the shortest wavelength.

#c =# the speed of light. We can rearrange this formula to get. This shows that the wavelength is inversely proportional to the energy: The smaller the amount of energy absorbed, the longer the wavelength. So, we look for the transition that involves the smallest energy. The electron transitions between first and fourth energy levels (n 4 → n 1 ) in the hydrogen atom produces the line of shortest wavelength in hydrogen spectrum. Among the given transitions, the energy difference for the transition n 4 → n 1 is maximum. Higher is the energy difference, lower is the wavelength. The transition that gives light the shortest wavelength is the one that produces the most energy change.