JCECE Engineering JCECE Engineering Solved Paper-2007

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

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

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

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

    D)  \[\frac{12}{3}\pi {{r}^{3}}\]

    Correct Answer: A

    Solution :

    In fee unic cell\[z=4\] Hence, occupied volume by sphere\[=4\times \frac{4}{3}\pi {{r}^{3}}\]                                                                      \[=\frac{16}{3}\pi {{r}^{3}}\]


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