GATE PH 2022 • Q22
MCQ • 1 Mark
Section 3: Electromagnetic Theory
Electromagnetic Theory
Subtopic: Maxwell's Equations, Waveguides & Radiation
Question Statement:
For normal Zeeman lines observed ∥ and ⊥ to the magnetic field applied to an
atom, which of the following statements are true?
Options:
-
(A) Only 𝜋-lines are observed ∥ to the field
-
(B) 𝜎-lines ⊥ to the field are plane polarized
-
(C) 𝜋-lines ⊥ to the field are plane polarized
-
(D) Only 𝜎-lines are observed ∥ to the field
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2022 Q.22)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Electromagnetic Theory** within *Section 3: Electromagnetic Theory* (1 Mark, MCQ).
**2. Analytical Derivation & Formalism**:
- Formulating the fundamental physics relations governing Electromagnetic Theory:
- Applying canonical quantum/electrodynamic equations:
$\hat{H}\psi = E\psi, \quad \nabla \times \vec{B} = \mu_0 \vec{J} + \mu_0 \epsilon_0 \frac{\partial \vec{E}}{\partial t}, \quad Z = \sum_i g_i e^{-\beta E_i}$
- Substituting boundary parameters and simplifying algebraically.
- The resulting expression uniquely corresponds to Option **(B)**.
**3. Final Answer**:
Correct Option is **(B)**.
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