Find the: (a) Maximum frequency, and (b) The minimum wavelength of X-rays produced by 30 kV electrons.
(a). Potential of the electrons, V=30kV=3×104V Hence, energy of the electrons, E=3×104eV Where, e = Charge on an electron = 1.6×10−19C Maximum frequency produced by the X-rays is ν The energy of the electrons is given by the relation is E=hν Where, h = Planck’s constant = 6.626×10−34Js ν=E/h=7.24×1018Hz (b). Energy of a electron, E=30×103eV Let Maximum frequency produced by the X-rays be ν ν=E/h=1.6×10−19×3×104/6.626×10−34=7.24×1018Hz where h is the planck's constant. The minimum wavelength produced by the X-rays is given as- λ=c/ν=0.0414nm