Diagram of energy levels of hydrogen lines

[José Ricardo]

Homework Statement

a) Draw a diagram of energy levels to explain the spectrum of lines of the hydrogen atom
b) Indicate, for each photon, that its region can be emitted to the electromagnetic spectrum.
c) Compare, in a graph, the energies of the orbital of the hydrogen atom with the energies of the He₊

Homework Equations

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The Attempt at a Solution

a) letter a was half done because I don't know how to explain the spectrum of lines, I made a drawing like that above:

[/B]

b) 1 to 2: Yellow
2 to 3: Green
3 to 4: Blue
4 to 5: Red
5 to 7: Red

c) I don't know how to do it.

 

[kuruman]

It looks like you posted someone else's energy diagram for (a) instead of posting your own. Did you actually draw your own? If so, just post it and don't worry it it's not professionally done. You will be able to understand how to do (c) if you understand how to do (a). Start by writing the expression for the nth energy level E_n and keep the atomic number as Z in the expression. The difference between (a) and (c) is that with hydrogen you have Z = 1 and with helium you have Z = 2. For the purposes of answering this question, it is safe to assume that the electrons in the helium atom are non-interacting (no electron-electron repulsion) and that they move in the full Coulomb potential of the nucleus (no shielding).

Also, your answers in (b) are nonsensical. It looks like you just listed the colors that someone chose for the arrows representing the transitions. You are expected to determine the region in the EM spectrum in which the photons from each transition are found. Regions are things like radio waves, microwaves, infrared, visible, etc.

 

[José Ricardo]

Hi Kuruman, good morning!
I was still in final exams at the college and I couldn't answer here. I'm going to send my message, even being wrong. I would like help on this exercise.

 

[kuruman]

Sorry, the pictures you posted are illegible. All I can distinguish are the Mickey Mouse characters and the little hearts. Cute, but irrelevant. If you must post pictures, please make sure you use a black thick pen to write with and plenty of light for good contrast.

Starting with question (a), what is the relevant equation that gives you the energy levels for the hydrogen atom? How would you modify it to get the energy levels for the helium atom? Once you figure this out, you should be able to do (a) and (c).
For (b) go to https://en.wikipedia.org/wiki/Electromagnetic_spectrum.

I hope you did well on your exams.