RAJASTHAN PMT Rajasthan - PMT Solved Paper-2007

  • question_answer
    The distance between two successive atomic planes of a calcite crystal is 0.3 nm. The minimum angle for Bragg scattering of \[0.3\,\overset{\text{o}}{\mathop{\text{A}}}\,\] X-rays will be

    A) \[1.43{}^\circ \]                                

    B) \[1.56{}^\circ \]

    C) \[2.86{}^\circ \]                

    D)        \[30{}^\circ \]

    Correct Answer: C

    Solution :

    For constructive interference, we must have                 \[2d\,\,\sin \,\,\theta =n\lambda \] or            \[\sin \theta =\frac{n\lambda }{2d}=\frac{1\times 0.3\times {{10}^{-10}}}{2\times 0.3\times {{10}^{-9}}}\]                 \[=0.05\,\,rad\] or            \[=\frac{0.05\times 180}{\pi }={{2.86}^{o}}\]


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