Question

The impossible set of quantum numbers for an electron is:

• A. $n=2,I=0,m=0,s=+\frac{1}{2}$
• B. $n=2,I=1,m=0,s=+\frac{1}{2}$
• C. $n=2,I=0,m=0,s=-\frac{1}{2}$
• D. all are possible set of quantum numbers

Answer 1

The correct option is D all are possible set of quantum numbers

The set of quantum numbers are $n.l,m,ands$

$n$ is a principle quantum number and it can have values from $n=0,1,2,...$

$l$ is Azimuthal quatntum number and it has values $l=n=1$. Thus it;s values are always less than $n$. It can have values from $l=0,1,\mathrm{2...}$

$m$ is magnetic quantum number. It has range of values from $-lto+l$.

$s$ is spin quantum number it can have two values viz. $+\frac{1}{2}$ or $-\frac{1}{2}$

Thus according to given conditions, the set of quantum numbers given in all options are possible.