Rydberg equation

[Zuri Smith 1A]

I understand this was explained briefly in class, but what is the Rydberg equation and how is it derived? It would be useful to use that equation for problem 1.17, which states: "The energy levels of hydrogen like one-electron ions of atomic number Z differ from those of hydrogen by a factor of Z^2. Predict the wavelength of the transition form n=2 to n=1 in He+."

[Katarina Ho -1B]

I am not quite sure what the ions of Hydrogen have to do with this but the Rydberg equation is just found by deriving the equation En=(-hR)/n^2 . First you just replace En with v*h because En=v*h. When you do this you can factor out h from both sides so the equation is simplified to v=-(1*R)/n^2. With R being Rydberg constant and n being the energy level of electron.

[Isabella Barkett 1G]

The Rydberg Equation is used to find the wavelengths of all the spectral lines in the emission spectrum of hydrogen, for example the wavelength of light which moves between n=2 and n=4.