What wavelengths emitted from a hydrogen gas discharge tube are associated with transitions from higher levels down to the n = 1 level?
[c] mixture of infrared and visible
1/λ = Rh[1/(m^2)-1/(n^2)] Rh = 1.09 x 10^7 m^-1.
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.