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, $n=0,1,2,3,\dots$

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.