Question

The spin angular momentum of an electron is given by:

• A. $\left\{\sqrt{\left(s\right(s+1)}\right\}\frac{h}{2\pi }$
• B. $\frac{sh}{2\pi }$
• C. $\frac{\sqrt{3}}{4}\frac{sh}{2\pi }$
• D. $\frac{h}{4\pi }$

Answer 1

The correct option is A $\left\{\sqrt{\left(s\right(s+1)}\right\}\frac{h}{2\pi }$

The magnitude of spin angular momentum is given by:
$\left\{\sqrt{\left(s\right(s+1)}\right\}\frac{h}{2\pi }$.
For a single electron,
$s=\pm \frac{1}{2}$
$s=+\frac{1}{2}$
$\sqrt{\frac{1}{2}(\frac{1}{2}+1)}\frac{h}{2\pi }$.
$=\frac{\sqrt{3}}{2}\frac{h}{2\pi }$