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JEE Main & Advanced Chemistry The Solid State / ठोस प्रावस्था Question Bank Mock Test - Solid State

  • question_answer
    Copper crystallises in a structure of face centered cubic unit cell. The atomic radius of copper is 1.28 \[\overset{\text{o}}{\mathop{\text{A}}}\,\]. What is the 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 :

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


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