VMMC VMMC Medical Solved Paper-2015

  • question_answer
    In a fee arrangement or P and Q, where f atoms are at the corners of the unit cell, Q atoms at the face centres and two atoms are missing from two corners in each unit cell, then the formula of the compound is

    A)                                                                                        \[{{P}_{2}}{{Q}_{3}}\]                                

    B)                                                                                               \[{{P}_{4}}Q\]

    C)                                                                                        \[{{P}_{4}}{{Q}_{5}}\]                                

    D)                                                                                               \[P{{Q}_{4}}\]

    Correct Answer: D

    Solution :

    Number of atoms at the comers = 6 Contribution of each atom = 1/8 Number of P-atoms                                                                                 \[=6\times \frac{1}{8}=3/4\] Number of atoms at the faces = 6 Contribution of each atom =1/2                                                                                               \[\therefore\] Number of Q-atoms                                                                                   \[=6\times \frac{1}{8}=3\] Formula                                                                                    \[={{P}_{3/4}}{{Q}_{3}}\] or                                                                                               \[P{{Q}_{4}}\]


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