The angular part of the wavefunction for the electron in hydrogen atom is proportional to sin ² θ cos θ e2 i φ. The values of the azimuthal quantum number l and the magnetic quantum number (m) are respectively.

(c) 3 and 2. Explanation: sin²θ cosθ e^(2iφ) is Y₃,₂ — l = 3, m = 2 (c).

The angular part of the wavefunction for the electron in hydrogen atom is proportional to sin ² θ cos θ e2 i… · ABC26PH0297

Subject: Physical Chemistry · Chapter: Atomic Structure · Topic: Atomic Structure – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium

The angular part of the wavefunction for the electron in hydrogen atom is proportional to $\sin ^{2} \theta \cos \theta \mathrm{e}^{2 \mathrm{i} \phi}$. The values of the azimuthal quantum number $l$ and the magnetic quantum number (m) are respectively.

(a)2 and 2

(b)2 and - 2

(c)3 and 2

(d)3 and - 2

Answer

Answer: C ✓ checked by 4AB · confidence high

Explanation

sin²θ cosθ e^(2iφ) is Y₃,₂ — l = 3, m = 2 (c).

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