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What is the (a) energy in eV and (b) wavelength in $\mu \mathrm{m}$ of a photon that, when absorbed by a hydrogen atom, could cause a transition from the $n=3$ to the $n=6$ energy level?

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Elyse G.

Cornell University

Jared E.

University of Winnipeg

Meghan M.

McMaster University

Video Transcript

In this exercise, we have to find both the energy and the wavelength off the photon. That could cause a transition from Vic third energy level to the sixth energy level of the hydrogen ETA. So in order to complete that first, I will remind you that the energy of the Anthony level of the hydrogen atom is minus 13.6 electoral votes divided by N square. So from this we have the energy of the third energy level is minus 13.6, divided by nine, which is minus 1.51 electoral votes. And the energy of the sixth energy level is minus 13.6, divided by 36 which is minus 0.38 electoral votes. S o. The energy required to raise the the Adam from the third energy level to the sixth according to conservation of energy, would just be the energy of the sixth. Ah, the sixth energy level, minus the energy of the third energy level. Okay, so this is minus 0.38 plus 1.51 which is one point 1.13 electoral votes. Okay, so this here is the answer to the question a And the question be we have to calculate the wavelength in micrometers of the photo. And we know that the energy of a foot is given by age see over London. So the wavelength Lunda is HC over the energy. So this is 240 electoral votes divided by one points, 13 electoral votes. So Lunda is 1000 and 97 a meters, which is the same as 1.97 micro meters. Okay, and this is the answer to question be in the end, to our exercise.