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

The Correct Option is A

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$