Question

The ratio of orbital angular momentum and spin angular momentum of an electron in p orbital is:

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

Answer 1

The correct option is C $\frac{2\sqrt{2}}{\sqrt{3}}$

For an electron in p orbital, $l=1$ and $s=1/2$,
$\frac{L}{S}=\frac{\sqrt{l(l+1)}h}{\sqrt{s(s+1)}h}=\frac{\sqrt{2}}{\frac{\sqrt{3}}{2}}=\frac{2\sqrt{2}}{\sqrt{3}}$