Is it possible for a hydrogen spectrum to show doublets and triplets?
My guess is that it is impossible as triplets and doublets are caused by the transition of electrons in having the same principal and azimuthal Quantum Numbers but different Magnetic Quantum Numbers (tell me I am right), but in the case of hydrogen since there is only a single electron it shouldn't be possible, right?
The reason I am asking is that, in my textbook, it was stated that one of the reasons for the failure of the Bohr model of the atom was
It fails to account for the finer details (doublet, that is two closely spaced lines) of the hydrogen atom spectrum observed by using sophisticated spectroscopic techniques.
The only other explanation for doublets and triplets in hydrogen, in that case, would be that electron has made transitions between consecutive magnetic quantum numbers (e.g. in one hydrogen it goes from $p_x$ to $p_y$ and another from $p_y$ to $p_z$ and therefore a doublet is seen in the spectrum)