BCECE Engineering BCECE Engineering Solved Paper-2012

  • question_answer
    A compound formed by elements A and B crystallizes in the cubic structure where A atoms are at the corners of a cube and B atoms are at the face centres. The formula of the compound is

    A)  \[{{A}_{2}}{{B}_{2}}\]   

    B)         \[A{{B}_{3}}\]  

    C)         \[AB\]                 

    D)         \[{{A}_{3}}B\]

    Correct Answer: B

    Solution :

    A atoms are at the comers of a cube. So, the number of A atoms per unit cell \[=8\times \frac{1}{8}=1.\] Similarly, B atoms are present at face centres of a cube. So, the number of B atoms per unit cell \[=6\times \frac{1}{2}=3\] Hence, the compound is \[A{{B}_{3}}.\]


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