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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2010

  • question_answer
    An ionic compound has a unit cell consisting of A ions at the corners of a cube and B ions on the centres of faces of the cube. The empirical formula of the compound would be

    A)  AB                                        

    B)  \[{{A}_{2}}B\]

    C)  \[A{{B}_{3}}\]                                  

    D)  \[{{A}_{3}}B\]

    Correct Answer: C

    Solution :

                     Number of A ions at the corners of a cube (per unit cell) \[=8\times \frac{1}{8}=1\] Number of B ions at the face centres of a cube (per unit cell) \[=6\times \frac{1}{2}=3\] Hence, the empirical formula of the compound is\[A{{B}_{3}}\].


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