Question

Which of the following sets of quantum numbers is correct ?

• A. $ n = 5 , l = 4 , m = 0 , s = + \frac{1}{2} $
• B. $ n = 3 , l = 3 , m = +3 , s = + \frac{1}{2} $
• C. $ n = 6 , l = 0 , m + 1 , s = - \frac{1}{2} $
• D. $ n = 4 , l = 2 , m + 2 , s = 0 $

Answer 1

Answer: (A)

For a given electron,
Principal quantum number, $n=0,1,2,3, \ldots$

azimuthal quantum number, $l=0$ to $(n-1)$,

magnetic quantum number, $m=-l$ to $+l$ and spin quantum number, $s=\pm \frac{1}{2}$

When, $n=5, l=0,1,2,3$ or $4$ and $m=-4$ to $+4$

$\therefore n=5, l=4, m=0, s=+\frac{1}{2}$ is a correct set of quantum numbers.