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Mosley's law, which relates the frequency of X-ray emission to the atomic number of an element, is crucial in X-ray production as it explains how inner-shell electrons are ejected and subsequently replaced by outer-shell electrons, leading to the emission of X-rays. According to the law, the energy (and thus frequency) of the emitted X-rays increases with the atomic number, providing a predictable pattern for X-ray wavelengths. This principle allows for the effective design and optimization of X-ray tubes and enhances our understanding of elemental composition through X-ray spectroscopy.

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