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J & K CET Engineering J and K - CET Engineering Solved Paper-2004

  • question_answer
    A substance \[{{A}_{x}}{{B}_{y}}\]crystallises in a face centred cubic lattice in which A atom occupies each comer of cube and atom B occupies the centres of each face of the cube. Identify the correct composition of the substance \[{{A}_{x}}{{B}_{y}}.\]

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

    B) \[{{A}_{4}}{{B}_{3}}\]

    C)  \[{{A}_{3}}B\]

    D)  composition cannot be specified

    Correct Answer: A

    Solution :

     Number of atoms of A per unit cell \[=8\times \frac{1}{8}=1\] Number of atoms of B per unit cell \[=6\times \frac{1}{2}=3\] Hence, the composition of \[{{A}_{x}}{{B}_{y}}=A{{B}_{3}}\]


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