AIIMS AIIMS Solved Paper-2006

  • question_answer
    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:

    A) <124kV

    B)       >124Kv

    C) Between 60 kV and 70 RV

    D) = 100 kV

    Correct Answer: A

    Solution :

    From conservation of energy the electron kinetic energy equals the maximum photon energy (we neglect the work function \[\phi \] because it is normally so small compared to \[e{{V}_{0}})\]. \[e{{V}_{0}}=h{{v}_{\max }}\] or   \[e{{V}_{0}}=\frac{hv}{{{\lambda }_{\min }}}\] \[\therefore \] \[{{V}_{0}}=\frac{hc}{e{{\lambda }_{\min }}}\] or   \[{{V}_{0}}=\frac{12400\times {{10}^{-10}}}{{{10}^{-11}}}=124kV\] Hence, accelerating voltage for electrons in X-ray machine should be less than 124 kV.


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