Question

Which of the following represents an incorrect set of quantum numbers?

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

Answer 1

The correct option is D $n=5,l=3,m=4,s=+\frac{1}{2}$

Principal quantum number = n
Azimuthal quantum number = l
Magnetic quantumnumber = m
spin quantum number = s

For n , l ranges from 0 to $n-1$
For l, m ranges from $-lto+l$

$\text{For l = 3, m will lie in between -3 to 3}$
$\therefore n=5,l=3,m=4,s=+\frac{1}{2}$
$\text{is not possible set of quantum numbers}$