Hi, I've been unable to find a relevant thread for a question that I've been stuck on for a couple of days now.
Here it is;
One of the electromagnetic emission lines for a hydrogen atom has wavelength 389nm. Assiming that this is a line from one of the Lyman (nf =1 ), Balmer (nf = 2) or Paschen (nf =3) series, what is the initial principle quantum number associated with the transitions? The Rydberg energy can be assumed to be 13.6eV
ΔE=Ry(1/(ni)2 - 1/(nf)2))
This is the formula used to attempt a solution
There is another formula in my notes that may be helpful but i do not understand the symbols within it, it is;
En,l = -Ry/(n-δl)2
The Attempt at a Solution
Using the equation ΔE=Ry(1/(ni)2 - 1/(nf)2)) and then equating this change in energy to the energy of light E=hc/λ.
Then I insert various nf 's e.g. nf =1 for Lyman, then i would solve this for ni to see if i get an integer number, indicating that this is correct. I do this for nf =1,2 and 3 and I have never got an integer number leading me to believe my method is incorrect.
Any help or insight would be appreciated,
Thanks in advance, John.