BCECE Engineering BCECE Engineering Solved Paper-2008

  • question_answer
    Total volume of atoms present in a face centred cubic unit cell of a metal is (\[r=\]atomic radius)

    A) \[\frac{20}{3}\pi {{r}^{3}}\]         

    B)        \[\frac{24}{3}\pi {{r}^{3}}\]         

    C)        \[\frac{12}{3}\pi {{r}^{3}}\]         

    D)        \[\frac{16}{3}\pi {{r}^{3}}\]

    Correct Answer: D

    Solution :

    Key Idea Volume of an atom \[=\frac{4}{3}\pi {{r}^{3}}\] In fee, number of atoms per unit cell \[=4\] \[\therefore \] Volume of total atoms\[=4\times \frac{4}{3}\pi {{r}^{3}}\]                                                 \[=\frac{16}{3}\pi {{r}^{3}}\]


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