Question

For the azimuthal quantum number $\left(l\right)$, the total number of magnetic quantum number is given by :

• 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 $l=\frac{(m-1)}{2}$

For the azimuthal quantum number $\left(l\right)$ the total number of magnetic quantum number is given by $l=\frac{(m-1)}{2}$.
For a given value of l, m can have values from -l to +l through zero. Thus, for each value of l, there will be total 2l+1 values of m.
$m=2l+1$
$m-1=2l$
$l=\frac{m-1}{2}$