Question

The fraction of total volume occupied by the atoms present in a simple cubic is

• A. $\frac{\pi }{6}$
• B. $\frac{\pi }{3\sqrt{2}}$
• C. $\frac{\pi }{4\sqrt{2}}$
• D. $\frac{\pi }{3}$

Answer 1

The correct option is A

$\frac{\pi }{6}$

Packing fraction in simple cubic
$\frac{\frac{4}{3}\pi r^3}{a^3}$ here a = 2r $\therefore \frac{\frac{4}{3}\pi r^3}{(2r{)}^3}=\frac{\pi }{6}$