An Alkali Metal Atom Is in the Ground State

Multiple Choice

An alkali metal atom is in the ground state. The orbital angular momentum equals zero and the spin angular momentum is entirely due to the single valence electron. A magnetic field is applied that splits the ground state energy level into two levels, 65 μeV apart.A photon, absorbed by the atom, induces a transition between the two levels. What is the wavelength of the photon? (c = 3.00 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s, Bohr magneton = μB = 9.27 × 10^-24 J/T, 1 eV = 1.60 × 10^-19 J)

A) 19 mm
B) 25 mm
C) 31 mm
D) 38 mm
E) 41 mm