Q77 · CSIR-NET Chemistry, June 2016
Paper: CSIR-NET June 2016 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Angular Momentum · Marks: 2 · Difficulty: Easy
The simultaneous eigen functions of angular momentum operators $\mathrm{L}^{2}$ and $\mathrm{L}_{\mathrm{Z}}$ are
(a)all of $2 \mathrm{s}, 2 \mathrm{p}_{\mathrm{x}}, 2 \mathrm{p}_{\mathrm{y}}$, and $2 \mathrm{p}_{\mathrm{z}}$ orbitals
(b)only $2 \mathrm{s}, 2 \mathrm{p}_{\mathrm{x}}$ and $2 \mathrm{p}_{\mathrm{y}}$ orbital
(c)only $2 s$ and $2 p_{z}$ orbitals
(d)only $2 \mathrm{p}_{\mathrm{z}}$ orbital
Answer
Answer: C ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation
2s (l = 0, m = 0) and 2p_z (m = 0) are eigenfunctions of both L² and L_z; 2p_x and 2p_y are combinations of m = ±1 and are not L_z eigenfunctions.
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