 #1
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 Homework Statement:
 The hydrogen spectrum contains a blue line with a wavelength of 434 nm. Photons of blue light are emitted when hydrogen's electron drops from the fifth energy level to a lower energy level What is the lower energy level?
 Relevant Equations:

E = (13.6eV/n^2)  (13.6eV/n^2)
1/λ = R(1/4  1/n^2)
E = hf
h = Planck's constant
I've first method I tried was using f = v/λ to find the frequency, then E = hf to find the energy and then using E = (13.6eV/n^2)  (13.6eV/n^2) to rearrange and solve for the unknown n. However I got 5, the same as the original entry level.
I also tried using 1/λ = R(1/4  1/n^2) to solve for n and got 5 again. I'm not really sure what I'm doing wrong, but I think it has something to do with the way I used E = hf to get the energy and used that value for E in E = (13.6eV/n^2)  (13.6eV/n^2). Any hints?
I also tried using 1/λ = R(1/4  1/n^2) to solve for n and got 5 again. I'm not really sure what I'm doing wrong, but I think it has something to do with the way I used E = hf to get the energy and used that value for E in E = (13.6eV/n^2)  (13.6eV/n^2). Any hints?