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Question 21
GATE PH 2023 • Q21
MCQ • 1 Mark
Section 3: Electromagnetic Theory
Electromagnetic Theory
Subtopic: Maxwell's Equations, Waveguides & Radiation
Question Statement:
The figure schematically shows the M (magnetization) - H (magnetic field) plots
for certain types of materials. Here M and H are plotted in the same scale and
units. Which one of the following is the most appropriate combination?
Options:
(A) (Q) - Paramagnet; (R) - Type-I Superconductor; (S) - Antiferromagnet
(B) (P) - Paramagnet; (Q) - Diamagnet; (R) - Type-I Superconductor
(C) (P) - Paramagnet; (Q) - Antiferromagnet; (R) - Type-I Superconductor
(D) (P) - Diamagnet; (R) - Paramagnet; (S) - Type-I Superconductor
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2023 Q.21)**
**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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