{"knowledge_schema": {"broad_category": "Physics \u2192 Quantum Mechanics \u2192 Atomic Physics", "refinement": "This problem involves comparing energy scales in quantum systems, specifically the energy associated with magnetic interactions and the energy of electronic transitions in hydrogen.", "specific_scope": "The focus is on the paramagnetic coupling term due to a magnetic field and its comparison with the transition energy of a hydrogen atom corresponding to a specific wavelength.", "goal": "Determine the relationship between the paramagnetic coupling energy and the transition energy in hydrogen to assess their relative magnitudes."}, "summary": "In this problem, we are comparing the energy associated with paramagnetic coupling in a magnetic field with the transition energy of a hydrogen atom. The paramagnetic coupling term, which is influenced by the magnetic field strength and the orbital magnetic quantum number, is expected to be much smaller than the transition energy associated with the wavelength of light emitted by hydrogen. The conclusion is that the paramagnetic coupling term is negligible compared to the transition energy, leading to the result \u27e8 H \u27e9\u226a\u0394 E."}