A ground state hydrogen atom absorbs a photon of light having a wavelength of 93.03 nm. It then gives off a photon having the wavelength of 2165 nm. What is the final state of the hydrogen atom?

Answer 1

w = wavelength
1/w = 1.0973E7(1/1 - 1/n^2). Convert w to meters and solve for n. That gives you n to which the electron moves from the ground state.I get n = 7
Then 1/w = 1.0973E7(1/n^2 - 1/7^2). Convert 2165 nm to m and solve for n. That looks like about 4 to me.

Answer 2

If I'm getting an answer around 4.8 can I round that off to 5 for the final state or it remains as 4?