{"knowledge_schema": {"broad_category": "Physics \u2192 Quantum Mechanics \u2192 Atomic Physics", "refinement": "This problem specifically deals with the interaction of atomic energy levels with an external magnetic field, known as the Zeeman effect.", "specific_scope": "The focus is on calculating the energy difference between the split levels of a hydrogen atom in a magnetic field for the n=2 level.", "goal": "Determine the energy difference (Zeeman splitting) for the n=2 level of a hydrogen atom in a magnetic field of 2T."}, "summary": "This problem involves the application of quantum mechanics to calculate the Zeeman splitting of energy levels in a hydrogen atom when subjected to a magnetic field. The task requires using the Bohr magneton and the magnetic field strength to find the energy difference between the split levels for the n=2 state. The goal is to compute the Zeeman splitting, which is a measure of how much the energy levels are separated due to the magnetic field, leading to the correct answer of 3.71 \u00d7 10^-23 J."}