Two sets of quantum numbers with the same number of radial nodes are · ABC26IN0778
Subject: Inorganic Chemistry · Chapter: Periodic Properties · Topic: Periodic Properties – General · Exam: JAM 2005-2022 · Marks: 2 · Difficulty: Easy
Two sets of quantum numbers with the same number of radial nodes are
(a)$\mathrm{n}=3 ; l=2 ; \mathrm{m}_{l}=0$ and $\mathrm{n}=2 ; l=1 ; \mathrm{m}_{l}=0$
(b)$\mathrm{n}=3 ; l=0 ; \mathrm{m}_{l}=0$ and $\mathrm{n}=2 ; l=0 ; \mathrm{m}_{l}=0$
(c)$\mathrm{n}=3 ; l=1 ; \mathrm{m}_{l}=1$ and $\mathrm{n}=2 ; l=1 ; \mathrm{m}_{l}=0$
(d)$\mathrm{n}=3 ; l=1 ; \mathrm{m}_{l}=-1$ and $\mathrm{n}=2 ; l=1 ; \mathrm{m}_{l}=0$
Answer
Answer: A ✓ checked by 4AB · confidence high
Explanation
Radial nodes = n − l − 1. 3d (3,2): 0 and 2p (2,1): 0 — equal. The other pairs give 2 vs 1 (3s/2s) or 1 vs 0 (3p/2p).
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