Q89 / 200 · JIPMER 2008 · Chemistry

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

  • Correct answer
    A
    \(\frac{16}{3} \pi r^3\)
  • B
    \(\frac{20}{3} \pi r^3\)
  • C
    \(\frac{24}{3} \pi r^3\)
  • D
    \(\frac{12}{3} \pi r^3\)

Solution

In fcc unic cell \(z=4\) \(\begin{aligned} \text { Hence, occupied volume by sphere } & =4 \times \frac{4}{3} \pi r^3 \\ & =\frac{16}{3} \pi r^3 \end{aligned}\)

Hence, the correct answer is option: 'A'.

More Solid State Questions