Haryana PMT Haryana 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)  \[1.48\overset{\text{o}}{\mathop{\text{A}}}\,\]            

    B)  \[2.43\overset{\text{o}}{\mathop{\text{A}}}\,\]

    C)  \[1.51\overset{\text{o}}{\mathop{\text{A}}}\,\]            

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

    Correct Answer: D

    Solution :

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


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