The relative heights of the K-alpha and K-beta peaks in X-ray production are influenced by the differing decay rates of these transitions, with faster decay resulting in higher peaks. These decay rates are linked to the wave functions of the initial and final electron states involved in the transitions. The discussion suggests that the Fermi Golden Rule may play a role in determining these heights, although this is not definitively stated. Understanding these factors is crucial for analyzing X-ray production curves. Overall, the interplay of decay rates and electron states is fundamental to the characteristics of K-alpha and K-beta peaks.