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Dual Nature Of Radiation And Matter

Question
CBSEENPH12047778

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

  • < 124 kV

  • > 124 kV

  • between 60 kV and 70 kV

  • = 100 kV

Solution

A.

< 124 kV

From conservation of energy the kinetic energy of electron equals the maximum photon energy (we neglect the he work function ϕ because it is normally so small compared to eVo ). 

       eVo = h vmax

         eVo = hcλmin Vo = hcmin Vo = 12400 × 10-1010-11

                 = 124 kV

Hence, accelerating voltage for electrons in X-ray machine should be less than 124 kV.