Lyman Alpha Photons in Visible, UV, X-Ray & Gamma Ray Spectra

[jaidon]

Consider the Lyman photons for Hydrogen-like atoms with Z greater than one. Which of these atoms have Lyman alpha photons in the 1)visible 2)UV 3)X-ray and 4)gamma-ray parts of the spectrum? Can list ranges of values of Z in the answers.

My thoughts are to use


1/lambda= (-Ze^2/2ahc)(1/n^2-1/m^2) where a is the Bohr radius and n=2, m=1.

I started by putting in the ranges i know for the different radiations ie) visible ranges from 4000 angstrom to 7000 angstrom, and solving for Z. I got results using this method that say that there are none in the visible range and for the UV, Z= 12 or under. Things are falling apart with the X-ray range which leads me to believe that there is a simpler method.

Any thoughts would be greatly appreciated. Thanks


Note: i did make sure that everything was in the appropriate units.

 

[jaidon]

I have tried working on this the last few days, but have been unable to decide what is going on. I know there must be an easy way to do this, but for some reason i am stuck. Any help? Thanks