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CMC Medical CMC-Medical VELLORE Solved Paper-2010

  • question_answer
    In a cubic lattice of XYZ, X atoms are present at all comers except one comer which is occupied by Y atoms. Z atoms are present at face centres. The formula of the compound is

    A)  \[{{X}_{8}}Y\,{{Z}_{24}}\]                            

    B)  \[X\,Y\,{{Z}_{3}}\]

    C)  \[{{X}_{7}}{{Y}_{24}}Z\]                               

    D)  \[{{X}_{7}}Y\,{{Z}_{24}}\]

    E)  None of these

    Correct Answer: D

    Solution :

                    Number of X atoms\[=7\times \frac{1}{8}=\frac{7}{8}\] Number of Y atoms\[=1\times \frac{1}{8}=\frac{1}{8}\] Number of Z atoms \[=6\times \frac{1}{2}=3\] Formula = \[{{X}_{7/8}}{{Y}_{1/8}}{{Z}_{3}}={{X}_{7}}Y\,{{Z}_{24}}\]


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