Question

Determine the azimuthal quantum number $\left(l\right)$ for the given number of magnetic quantum numbers $\left(m\right)$.

• A. $l=\frac{(m+1)}{2}$
• B. $l=\frac{(m-1)}{2}$
• C. $l=\frac{(2m+1)}{2}$
• D. $l=\frac{(2m-1)}{2}$

Answer 1

The correct option is B $l=\frac{(m-1)}{2}$

Magnetic quantum number $m$ ranges between $-l$ to $+l.$

So, $m=2l+1$

$\Rightarrow l=\left(\frac{m-1}{2}\right)$