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Question 5 (a) A proton and an electron recombine to form atomic hydrogen in the n=3...

Question 5

(a) A proton and an electron recombine to form atomic hydrogen in the n=3 state. What is the energy and wavelength of the photon emitted? In the n=3 states, what are the different orbital levels which are possible? And what is the total number of different states available for each of those orbital levels?

(b) From the (n,l,m)=(3,0,0) state, the electron de-excites to the n=1 level. What are all of the different transitions that the electron could make to reach there? Which ones are possible and why? What is the wavelength and energy of those transitions?

(c) For a transition from the n=3 to n=1 state, what is the difference in wavelength if the nucleus is deuterium instead of hydrogen? What if it is carbon with a single electron? Or an isotope of carbon with an atomic weight = 13?

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