Hard X -rays for the study of fractures in bones should have a minimum wavelength of 10⁻¹¹ ~m . The accelerating voltage for electrons in X -ray machine should be

Step-by-step solution

From conservation of energy the kinetic energy of electron equals the maximum photon energy (we neglect the work function because it is normally so small compared to e V₀ ). e V₀=h v_ or e V₀= h c _ V₀= h c e _ or aligned V₀ & = 12400 10⁻¹⁰ 10⁻¹¹ & =124 kV aligned Hence, accelerating voltage for electrons in X -ray machine should be less than 124 kV .