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Balmer's Formula.

  • #1
[SOLVED] Balmer's Formula.

1. I am to find the formula of each series of wavelengths:
  • 12500, 31.25, 13.90, 7.81, and 5.00 nm
  • 375, 900, 1575, 2400, 3375, and 4500 nm
***Also, n might not always equal 1.




2. [tex]\lambda[/tex] = [tex]\frac{94.18 nm} ({\frac{1}{m^{2}}) - (\frac{1}{n^{2}})}[/tex])
Where m = 1, 2, 3, ... and n = m+1, m+2, ...​



3. My prof said that all I had to do was plug and chug, but I am not exactly sure what she meant by that, and do I assume that m is just zero at times?
I want to know if there is a way I can do this mathematically? She told me to THINK squares, so I attempted to take the square root of the numbers.

Any guidance will be appreciated.
 

Answers and Replies

  • #2
I wanted to clarify since I seem to have found the second one, it is talking about finding a FORMULA, so Balmer's formula is really useless in a way.

If a Mod would rename this I would really appreciate it, rename it to: Finding Formula given a series.
 
  • #3
And I just figured out the second one, what a waste of forum-space!

Thanks anyway!

:D
 
  • #4
454
0
One way is to take differences between succesive numbers, and see if a pattern emerges.
Take the differences of the differences is that doesn't work. If the differences are constant after n steps the numbers can be produced with a n'th degree polynomial.

since the numbers are wavelengths, you could try the frequencies as well.

I think the first number from a needs to be 125.00
 

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