The Bohr Model of the Hydrogen Atom

AI Thread Summary
In the discussion about the Bohr Model of the hydrogen atom, a user seeks to determine the quantum number n for an electron that gains 2.86 eV of energy while starting from the first excited state. They initially calculated nfinal as 3 using the energy level equation but found it to be incorrect, suspecting a mistake in their approach. The correct quantum number for the state after gaining the energy is actually 5. Additionally, the user requests resources for understanding energy levels in hydrogen, expressing difficulty in finding useful information online. The conversation highlights the challenges of applying theoretical concepts to problem-solving in quantum mechanics.
frankene
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The electron in a hydrogen atom is in the first excited state, when the electron acquires an additional 2.86 eV of energy. What is the quantum number n of the state into which the electron moves?

I found the answer to be 5 but I don't know how. I thought I could use the following equation:

En=-(13.6eV) * (z^2 / (nfinal)^2 - (ninitial)^2)

En=-2.86
z=1
ninitial=2

I solved for nfinal and had the answer as 3 but that was incorrect. Am I doing something wrong?

Any help on this would be greatly appreciated! Thank you :)
 
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It's been a long time since I worked with this kind of problem, but can you post a link to a web page with info on the energy levels of the hydrogen atom? If I had this problem and no textbook, I'd start with a directed google search...
 
I know I tried to use Google and Yahoo with no help but the only web page I have is for the textbook itself (Cutnell, Johnson: Physics, 6th Edition). I have the right answer for my homework but I was just trying to figure out how. I guess I really wanted to know. LOL

http://bcs.wiley.com/he-bcs/Books?action=index&itemId=0471151831&bcsId=1346

Thank you for your advise!

:smile:
 
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