Question

The orbital angular momentum of a 4p electron will be :

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

Answer 1

The correct option is B $\sqrt{2}\frac{h}{2\pi }$

For p-orbital, $l=1$
where $l=$ Azimuthal quantum number

Orbital angular momentum is given by
$L=\frac{h}{2\pi }\sqrt{l(l+1)}$
Putting the value of $l$, we get
$L=\frac{h}{2\pi }\sqrt{1(1+1)}=\sqrt{2}\frac{h}{2\pi }$