When a hydrogen atom is exposed to a perturbation V = E.z, the first order correction to the wave function… · ABC26PH1169

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Quantum Chemistry – General · Exam: CSIR NET 2020-2021 · Marks: 2 · Difficulty: Medium

When a hydrogen atom is exposed to a perturbation $V = E.z$, the first order correction to the wave function comes only from the orbital
(a)2s
(b)$2p_z$
(c)$2p_y$
(d)$3 \mathrm{d}_{\mathrm{z}}^{2}$
Answer
Answer: B ✓ checked by 4AB · confidence high

The source book printed no answer; this one was worked out and checked — see the explanation.

Explanation
The perturbation z has non-zero matrix elements ⟨n′l′m′|z|1s⟩ only for Δl = ±1, Δm = 0; from 1s that selects the 2p_z orbital.

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