JEE Main & Advanced Chemistry The Solid State / ठोस प्रावस्था Question Bank Mathematical analysis of cubic system and Bragg's equation

  • question_answer
    Sodium metal crystallizes as a body centred cubic lattice with the cell edge 4.29 Å. What is the radius of sodium atom [AIIMS 1999]

    A)                 \[1.857\times {{10}^{-8}}cm\]   

    B)                 \[2.371\times {{10}^{-7}}cm\]

    C)                 \[3.817\times {{10}^{-8}}cm\]   

    D)                 \[9.312\times {{10}^{-7}}cm\]

    Correct Answer: A

    Solution :

               Radius of \[Na\](if bcc lattice) \[=\frac{\sqrt{3}a}{4}\]\[=\frac{\sqrt{3}\times 4.29}{4}\]                                 \[=1.8574{\AA}=1.8574\times {{10}^{-8}}cm\]


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