We have to find the minimum potential difference that must be applied to an x-ray tube to produce x rays with a wavelength equal to the Compton wavelength of the electron.

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The electron Compton wavelength

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The applied minimum potential difference V in kV required for producing radiation of wavelength pm in an x ray tube is given by the relation

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Therefore, the minimum potential difference required for producing x rays of wavelength equal to the Compton wavelength of the electron is