NEET Chemistry The Solid State / ठोस प्रावस्था Question Bank Self Evaluation Test - The Solid State

  • question_answer
    The second order Bragg diffraction of X-rays with \[=1.00\overset{\text{o}}{\mathop{\text{A}}}\,\] from a set of parallel planes in a metal occurs at an angle\[60{}^\circ \]. The distance between the scattering planes in the crystal is

    A) \[0.575\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    B) \[1.00\,\overset{\text{o}}{\mathop{\text{A}}}\,\]  

    C) \[2.00\,\overset{\text{o}}{\mathop{\text{A}}}\,\] 

    D) \[1.15\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    Correct Answer: D

    Solution :

    [d] Order of Bragg diffraction (n) = 2: Wavelength \[\left( \lambda \text{ }\!\!~\!\!\text{ } \right)=1\,\overset{\text{o}}{\mathop{\text{A}}}\,\] and angle\[\left( \theta  \right)=60{}^\circ \]. We know from the Bragg's equation \[n\lambda =2d\sin \theta \] Or \[2\times 1=2dsin\,{{60}^{{}^\circ }}\] \[\Rightarrow 2\times 1=2.d\frac{\sqrt{3}}{2}\Rightarrow d=\frac{2}{\sqrt{3}}=1.15\overset{\text{o}}{\mathop{\text{A}}}\,\] (where d = Distance between the scattering planes)


You need to login to perform this action.
You will be redirected in 3 sec spinner