Final answer:
The energy associated with the change in orientation of a free electron in a uniform magnetic field is calculated using the formula ΔE = 2μ · B.
Step-by-step explanation:
The energy associated with the change in orientation of a free electron in a uniform magnetic field can be calculated using the formula: E = μ · B
where E is the energy, μ is the magnetic moment of the electron, and B is the magnetic field strength. Since the electron flips its orientation from parallel to anti-parallel, the change in energy is given by: ΔE = 2μ · B
Substituting the given values, we have:ΔE = 2(μ) · (3.84 T)