JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Critical Thinking

  • question_answer
    Electrons with energy 80 keV are incident on the tungsten target of an X-ray tube. K shell electrons of tungsten have ionization energy 72.5 keV. X-rays emitted by the tube contain only                        [IIT-JEE (Screening) 2000]

    A)            A continuous X-ray spectrum (Bremsstrahlung) with a minimum wavelength of  ~ 0.155Å

    B)            A continuous X-ray spectrum (Bremsstrahlung] with all wavelengths

    C)            The characteristic X-rays spectrum of tungsten

    D)            A continuous X-ray spectrum (Bremsstrahlung) with a minimum wavelength of ~ 0.155Å and the characteristic X-ray spectrum of tungsten

    Correct Answer: D

    Solution :

                       Minimum wavelength of continuous X-ray spectrum is given by  \[{{\lambda }_{\min }}(in {\AA})=\frac{12375}{E(eV)}=\frac{12375}{80\times {{10}^{3}}}\approx 0.155\]                    Also the energy of the incident electrons (80 KeV) is more than the ionization energy of the K-shell electrons (i.e. 72.5 KeV). Therefore characteristic X-ray spectrum will also be obtained because energy of incident electron is enough to knock out the electron from K or L shells.


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