Hard X-rays for the study of fractures in bones should have a minimum wavelength of 10−11m. The accelerating voltage for electrons in X-ray machine should be:
Between 60kV and 70kV
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From conservation of energy the electron kinetic energy equals the maximum photon energy (we neglect the work function ϕ because it is normally so small compared to eV0 eV0=hvmax eV0=λminhc V0=eλminhc h (Plank's Constant) = 6.625×10−34J−s , c (Speed of light) = 3×108m/s, e (Charge of electron) = 1.6×10−19C V0=10−1112400×10−10 =124kV Hence, accelerating voltage for electrons in X-ray machine should be less than 124kV.
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