## Rydberg Equation Alternatives?

H-Atom ($E_{n}=-\frac{hR}{n^{2}}$)

Rebecca Remple 1C
Posts: 137
Joined: Wed Sep 18, 2019 12:16 am
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### Rydberg Equation Alternatives?

Hi all,
I'm currently working on the homework from section 1A when I came across an interesting problem, 1A.15. The problem states that "In the ultraviolet spectrum of atomic hydrogen, a line is observed at 102.6 nm. Determine the values of n for the initial and final energy levels of the electron during the emission of energy that leads to this spectral line." I consulted the Student Answers Manual and saw the answer was found using the Rydberg Equation. However, I recall Dr. Lavelle saying we wouldn't be using that equation in his class. I was curious if there are any alternate ways I should be able to solve this problem, or if this sort of question wouldn't appear on an exam? Please let me know your thoughts. Thank you and I hope you have a nice weekend!
-Rebecca

Simon Dionson 4I
Posts: 107
Joined: Sat Sep 14, 2019 12:17 am

### Re: Rydberg Equation Alternatives?

Dr. Lavelle's example problem on the 10/9/19 lecture is actually an alternative to way to use the Rydberg equation if both the initial n and final n are known and its possible to use the difference of the calculated energies. Unfortunately for this problem, I'm not sure it's possible since the final state is not known, but the initial state can be found by assuming that it is a Lyman series.

Rodrigo2J
Posts: 102
Joined: Sat Jul 20, 2019 12:16 am

### Re: Rydberg Equation Alternatives?

Hi! If you look in the textbook, you can find an equation that will help you find what you need! I think the equation was
$1/\lambda =R(1/n(initial)^2+1/n(final)^2)$
but please double check to make sure!

Rebecca Remple 1C
Posts: 137
Joined: Wed Sep 18, 2019 12:16 am
Been upvoted: 1 time

### Re: Rydberg Equation Alternatives?

Hi Rodrigo and Simon,

Thank you so much for your replies! I really appreciate the help. Would either of you be willing to show how you solved this homework problem? From what I've seen, I have to use a specific form of the Rhydberg equation, but I'm confused by the way the textbook solved it and I feel like everyone I've consulted solves it differently. Thank you so much again and I hope you have a great day!

-Rebecca

Micah3J
Posts: 100
Joined: Tue Oct 08, 2019 12:16 am

### Re: Rydberg Equation Alternatives?

So will we be expected to use the alternative way or the Rydberg equation? Will both get us full credit?