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

  • question_answer
    The largest distance between the interatomic planes of a crystal is 10-7cm. The upper limit for the wavelength of X-rays which can be usefully studied with this crystal is [CPMT 1984]

    A)            1 Å

    B)            2 Å

    C)            10 Å                                         

    D)            20 Å

    Correct Answer: D

    Solution :

                       Bragg's law, \[2d\sin \theta =n\lambda \] or \[\lambda =\frac{2d\sin \theta }{n}\]                    For maximum wavelength, \[{{n}_{\min }}=1,\,\,{{(\sin \theta )}_{\max }}=1\]                    \[\therefore \,\,{{\lambda }_{\max }}=2d\] or \[{{\lambda }_{\max }}=2\times {{10}^{-7}}cm=20\,{\AA}\]


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