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

  • question_answer
    An X-ray tube with a copper target emits Cu \[{{K}_{\alpha }}\] line of wavelength 1.50 Å. What should be the minimum voltage through which electrons are to be accelerated to produce this wavelength of X rays\[(h=6.63\times {{10}^{-34}}J\text{-}\sec ,\ c=3\times {{10}^{8}}m/s)\] [Orissa JEE 1996]

    A)            8280 V                                     

    B)            828 V

    C)            82800 V                                  

    D)            8.28 V

    Correct Answer: A

    Solution :

               \[eV=\frac{hc}{\lambda }=\frac{6.63\times {{10}^{-34}}\times 3\times {{10}^{8}}}{1.5\times {{10}^{-10}}}\] \[\Rightarrow V=\frac{6.63\times {{10}^{-34}}\times 3\times {{10}^{8}}}{1.6\times {{10}^{-19}}\times 1.5\times {{10}^{-10}}}\] =8280 Volt.


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