The interaction between an atom and a light wave of angular frequency ω may be modelled classically as a driven oscillator system. The displacement of an electron in the atom by a distance x induces a dipole equal to −ex. The displacements have their own natural angular frequency ω0, which is presumed to correspond to the transition frequency. The electric field of the light applies a force to the dipoles, and induces oscillations at its own frequency. The equation of motion for the displacement x of the electron is thus: me d2x dt2 + meγ dx dt + meω2 0x = F0 cos ωt, where me is the electron mass, γ is a damping constant, and F0 is the amplitude of the force applied to the electron by the light. With the assumption that ω0  γ, show that the magnitude of the driven oscillations is a maximum when ω = ω0. What is the full width at half maximum of the resonance in angular frequency units?