Evaluate the following sets of quantum numbers . Which sets represent physically permissible states — Atomic Structure Chemistry Question

💡 Solution & Explanation

Option A ($3d$) is valid as $l < n$ and $m$ is within $[-l, +l]$. Option C ($2p$) is valid. Option B is invalid because if $l=0$, $m$ must strictly be $0$. Option D is invalid because the azimuthal quantum number $l$ must strictly be less than $n$ ($l_{max} = n-1$); $l$ cannot equal $n$.