Question

The magnitude of spin angular momentum of an electron is given by:

• A. $S=\sqrt{s(s+1)}\frac{h}{2\pi }$
• B. $S=s\frac{h}{2\pi }$
• C. $S=\frac{\sqrt{3}}{2}\times \frac{h}{2\pi }$
• D. $S=\pm \frac{1}{2}\times \frac{h}{2\pi }$

Answer 1

Answer: (A), (C)

$S=\sqrt{s(s+1)}\frac{h}{2\pi }$
$S=\frac{\sqrt{3}}{2}\times \frac{h}{2\pi }$

The magnitude of spin angular momentum of an electron is given by $\sqrt{s(s+1)\frac{h}{2\pi }}$

For a single electron $s=\pm \frac{1}{2}$ but for calculating spin angular momentum of an electron on positive value of s is taken.

$\sqrt{\frac{1}{2}(\frac{1}{2}+1)}\frac{h}{2\pi }$

=$\frac{\sqrt{3}}{2}\times \left(\frac{h}{2\pi }\right)$