Question

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. $\frac{12}{3} \pi r^{3}$

Answer 1

Answer: (A)

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