AFMC AFMC Solved Paper-2006

  • 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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