RAJASTHAN PMT Rajasthan - PMT Solved Paper-2010

  • question_answer
    Sodium metal crystallizes in body centred cubic lattice with cell edge\[4.29\overset{\text{o}}{\mathop{\text{A}}}\,\] . What is the radius of sodium atom?

    A) \[2.86\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]                       

    B)        \[6.81\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    C)        \[1.68\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]                       

    D)        \[1.86\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    Correct Answer: D

    Solution :

    For a body centred cubic lattice, the radius of atom is                 \[r=\frac{\sqrt{4}}{3}\cdot a\]                 \[a=4.29\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\] \[\therefore \]  \[r=\frac{1.732\times 4.29}{4}=1.86\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]


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