1. The problem statement, all variables and given/known data What wavelengths emitted from a hydrogen gas discharge tube are associated with transitions from higher levels down to the n = 1 level? [a] infrared visible [c] mixture of infrared and visible [d] ultraviolet 2. Relevant equations Equations: 1/λ = Rh[1/(m^2)-1/(n^2)] Rh = 1.09 x 10^7 m^-1. 3. The attempt at a solution Can someone explain hydrogen gas electron transition to me? This stuff is a little over my head. I obtained various wavelengths with arbitrary quantum numbers greater than 1. I took +infinity as a bound since higher quantum numbers reaches the series limit. 1/λ*(1 m/10^ 9 nm) = (1.097e-7 m^-1)[1/(1^2)-1/(infinity)] λ (+infinity ,1)= 91.6 nm 1/λ*(1 m/10^ 9 nm) = (1.097e-7 m^-1)[1/(1^2)-1/(4^2)] λ (4 ,1)= 4.86 nm The level transitions yield a photon with wavelengths corresponding to UV light. I’m confused though because taking bounds of the 1.01 type down to 1 allows the photon to be associated with different lights. Do I have to keep m and n whole when doing this problem? With m & n being non-integral values n can be taken arbitrarily closer and closer to 1 (with n>1) pushing the wavelength to positive infinity. Non-integral values possess a different number of points in a dimensional space corresponding to different emissions.