Consider the following: I. The electron spin quantum number describes the orientation of the spin of the nucleus with respect to the magnetic field. II. The orbitals represented by the quantum numbers \(\mathrm{n}=3, l=2, \mathrm{~m}=+2\) and \(\mathrm{n}=3, l=2, \mathrm{~m}=-2\) have the same energy III. The energy of a photon is directly proportional to wavelength but inversely proportional to wave number IV. Lyman series of lines appear in ultra-violet region The correct statements are

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.