An s state (l = 0) energy level is split into two levels by an applied magnetic field. A photon of microwave radiation having frequency 60 GHz induces a transition between the two levels. What is the magnitude of the applied magnetic field? (h = 6.626 × 10^-34 J ∙ s, Bohr magneton = μB = 9.27 × 10^-24 J/T) A) 2.1 T B) 0.34 T C) 1.2 T D) 2.8 T E) 13 T

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The energy difference between the two levels is given by:ΔE = hν = μBBwhere h is Planck's constant, ν is the frequency of the microwave radiation, μB is the Bohr magneton, and B is the magnitude of the applied magnetic field.Solving for B, we get:B = hν/μB = (6.626 × 10^-34 J ∙ s)(60 × 10^9 Hz)/(9.27 × 10^-24 J/T) = 2.1 T

An S State (L = 0) Energy Level Is Split