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NEET Chemistry NEET PYQ-The Solid State

  • question_answer
    A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is [AIPMT (S) 2012]

    A) 288 pm

    B) 408 pm

    C) 144 pm

    D) 204 pm

    Correct Answer: A

    Solution :

    [a] For fcc lattice,
    \[4r=\sqrt{2}a\]
    \[r=\frac{\sqrt{2}}{4}a=\frac{a}{2\sqrt{2}}\]
    \[=\frac{408}{2\sqrt{2}}\]
    \[=144\,pm\]     
    diameter d = 2r = 2 x 144 pm
    = 288pm


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