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KVPY Sample Paper KVPY Stream-SX Model Paper-23

  • question_answer
    Copper crystallizes in a structure of face centered cubic unit cell. The atomic radius of copper is 1.28 A. What is axial length on an edge of copper?

    A) \[2.16\overset{\text{o}}{\mathop{\text{A}}}\,\]

    B) \[3.62\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    C) \[3.94\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    D) \[4.15\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    Correct Answer: B

    Solution :

    \[4r=a\sqrt{2}\] \[a=\frac{4r}{\sqrt{2}}=\frac{4\times 1.28}{\sqrt{2}}\,\overset{\text{o}}{\mathop{\text{A}}}\,=3.62\overset{\text{o}}{\mathop{\,\text{A}}}\,\]


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