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Manipal Engineering Manipal Engineering Solved Paper-2012

  • question_answer
    In a face-centred cubic arrangement of\[A\]and\[B\]atoms whose\[A\]atoms are at the corner of the unit cell and\[B\]atoms at the face-centre, one of\[A\]atom is missing from one corner in the unit cell. The simplest formula of the compound is

    A) \[{{A}_{24}}{{B}_{7}}\]                  

    B) \[{{A}_{7}}{{B}_{24}}\]

    C) \[{{A}_{7}}{{B}_{4}}\]                    

    D)        \[A{{B}_{2}}\]

    Correct Answer: B

    Solution :

    No. of atoms of\[A\]from comers of unit cell\[=\frac{7}{8}\] No. of atoms of\[B\]from faces of unit cell\[=3\] \[\therefore \]  \[A:B=\frac{7}{8}:3=7:24\] Thus, formula of the compound is\[{{A}_{7}}{{B}_{24}}\].


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