Hydrogen Atom- 2 | Quantum Mechanics | CSIR NET June 2026 & Gate 2027 | Lec-11 | IFAS

(Hydrogen Atom- 2 | Quantum Mechanics | CSIR NET June 2026 & Gate 2027 | Lec-11 | IFAS) explained with clear concepts and exam-focused approach. Master Hydrogen Atom Part‑2 in Quantum Mechanics for CSIR NET & GATE with radial wavefunction PYQs, fine‑structure tricks, and problem‑solving.

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⏳ Lecture Timeline:
[00:00:00] – Introduction of Hydrogen Atom- 2 | Quantum Mechanics
[00:02:16] – Question 1: Effective Potential in Radial Equation
[00:07:44] – Question 2: Free Particle Radial Asymptotic
[00:09:47] – Question 3: Boundary Condition at r=0
[00:12:55] – Question 4: Quantisation from Boundary at Infinity
[00:15:47] – Question 5: Radial Equation – Series Solution
[00:16:59] – Question 6: Radial Nodes Formula
[00:18:24] – Question 7: 3D Harmonic Oscillator Energy
[00:20:35] – Question 8: Asymptotic Form (r→∞) – Exponentially Decaying
[00:22:20] – Question 9: Degeneracy in Central Potential
[00:25:28] – Question 10: u(r) Boundary at Origin (all l)
[00:28:44] – Question 11: Principal Quantum Number n (Energy & Radial Extent)
[00:31:14] – Question 12: Azimuthal Quantum Number l (Allowed 0 to n–1)
[00:32:31] – Question 13: Magnetic Quantum Number m (Projection of L)
[00:36:34] – Question 14: What l does NOT determine (Radial Nodes)
[00:39:26] – Question 15: Angular Nodes = l (l=2, m values, nodes 2)
[00:42:11] – Question 16: Most Probable Distance (l=n–1) ∝ n²
[00:44:13] – Question 17: Orbital Angular Momentum & z-component (n=4,l=2,m=-1)
[00:47:17] – Question 18: Forbidden Quantum Numbers (n=3,l=3,m=0)
[00:50:43] – Question 19: Angular Probability Maxima (2p,m=0)
[00:53:39] – Question 20: Radial Probability Maxima (3d, zero nodes → 1 peak)
[00:56:26] – Question 21: 2s vs 2p Radial Probability (nonzero at nucleus)
[00:59:03] – Question 22: d_xy Orbital Angular Nodes = 2
[01:01:35] – Question 23: Probability Inside Bohr Radius (Ground State)
[01:05:22] – Question 24: False Statement about 3s Orbital
[01:24:35] – Complete Session (Hydrogen Atom- 2 | Quantum Mechanics)

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📖 Topics Covered in This Lecture:
• Radial Equation & Probability Density
• Quantum Numbers & Degeneracy
• Spin‑Orbit Coupling & Fine Structure
• Zeeman Effect PYQ Problems
• Wavefunction Normalization Tricks

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📚 Lecture Summary:
In this session, IFAS Expert Faculty focuses on Hydrogen Atom‑2, covering radial wavefunctions, quantum numbers, spin‑orbit coupling, and the Zeeman effect. Learn problem‑solving tricks and PYQ analysis for CSIR NET June 2026 & GATE 2027. Master the Hydrogen Atom energy levels, degeneracy, and fine‑structure corrections through conceptual derivations. Boost your Quantum Mechanics with this Hydrogen Atom‑2 lecture.

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