Match the entries in Column I with the correctly related quantum number(s) in Column II. — Atomic Structure Chemistry Question

💡 Solution & Explanation

(A) Orbital angular momentum magnitude depends on $l$ (Q), and its spatial orientation depends on $m$ (R). (B) A complete description of a single electron state obeying the Pauli principle requires all four quantum numbers: $n, l, m, s$ (P, Q, R, S). (C) Size depends on $n$ (P), shape on $l$ (Q), and orientation on $m$ (R). (D) Only s-orbitals ($l=0$) have non-zero probability at the nucleus, and this density scales with $1/n^3$. Thus it depends on $n$ and $l$ (P, Q). Therefore, correct answer is A-Q,R; B-P,Q,R,S; C-P,Q,R; D-P,Q.