A tube containing hydrogen atoms in the n=3 shell does not absorb visible light. The longest wavelength absorbed is 1875 nm. What state is the hydrogen atom in after absorbing a 1875 nm photon?

Answer 1

1/wavelength = R(1/n^2initial - 1/n^2final)
R is the Rydberg constant.
n final is the upper state
n initial is the lower state, in this case 3.
Plug in the numbers and solve for n final. Post your work if you get stuck.