Atoms have quantized energy levels similar to those of Planck’s oscillators, although the energy levels of an atom are usually not evenly spaced. When an atom makes a transition between states separated in energy by DE,energy is emitted in the form of a photon of frequency f . Although an excited atom can radiate at any time from t= 0 to t =infinity, the average time interval after excitation during which an atom radiates iscalled the lifetime Ʈ. If Ʈ =1.0 × 10-8 s, use the uncertainty principle to compute the line width Δ f produced by this finite lifetime