JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Self Evaluation Test - Dual Nature of Radiation and Matter

  • question_answer
    Electrons with energy 80 keV are incident on the tungsten target of an X-ray tube. K-shell electrons of tungsten have 72.5 keV energy. X- rays emitted by the tube contain only

    A) a continuous X-ray spectrum (Bremsstrahlung) with a minimum wavelength of \[\text{0}\text{.155}\overset{\text{o}}{\mathop{\text{A}}}\,\]

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

    C) the characteristic X-ray spectrum of tungsten

    D) a continuous X-ray spectrum (Bremsstrahlung) with a minimum wavelength of \[\text{0}\text{.155}\overset{\text{o}}{\mathop{\text{A}}}\,\]and the characteristic X-ray spectrum of tungsten..

    Correct Answer: D

    Solution :

    [d] \[{{\lambda }_{\min }}=\frac{hc}{E}\text{    }\therefore {{\lambda }_{\min }}=\frac{12400}{80\times {{10}^{3}}}\overset{\text{o}}{\mathop{\text{A}}}\,=0.155\overset{\text{o}}{\mathop{\text{A}}}\,\] Energy of incident electrons is greater than the ionization energy of electrons in K-shell, the K-shell electrons will be knocked off. Hence, characteristic X-ray spectrum will be obtained.


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