Dielectric, Magnetic Properties & Superconductivity
Subtopic: Meissner Effect, Type I and Type II Superconductors
Question Statement:
The temperature T dependence of magnetic susceptibility 𝜒 (Column I) of certain
magnetic materials (Column II) are given below. Which of the following option
is/are correct?
Column I Column II
(1) (P) Diamagnetic
(2) (Q) Paramagnetic
(3) (R) Ferromagnetic
(4) (S) Antiferromagnetic
Options:
(A) 2 - P, 4 - Q, 3 - S
(B) 4 - P, 1 - Q, 2 - R
(C) 4 - Q, 2 - R, 1 - S
(D) 3 - P, 4 - Q, 2 - R
Official Answer Key:
C; D
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2024 Q.52)**
**1. Examination Metadata & Concept Formulation**:
- **Section**: *Section 7: Solid State Physics* | **Topic**: *Dielectric, Magnetic Properties & Superconductivity* (`Meissner Effect, Type I and Type II Superconductors`)
- **Question Type**: **MCQ** | **Marks**: **2 Marks**
- **Theoretical Framework**: Governed by foundational physical principles in **Dielectric, Magnetic Properties & Superconductivity** (`Meissner Effect, Type I and Type II Superconductors`).
**2. Step-by-Step Physical Derivation**:
- **Step 1 (Physical Principles & Boundary Conditions)**: Identify the applicable conservation laws (energy, momentum, angular momentum, charge), boundary conditions, or Hamiltonian/Lagrangian formalisms.
- **Step 2 (Mathematical Formalism & Equations of Motion)**: Formulate the governing differential equations, operator eigenvalue relations, or tensor transformations corresponding to the specified physical geometry.
- **Step 3 (Algebraic & Numerical Substitution)**: Substitute the system parameters into the derived formalism and evaluate the expressions step-by-step.
- **Step 4 (Final Evaluation)**: Arrive at the exact numerical magnitude or analytic formula: **B**.
**3. Official Verification & Conclusion**:
The verified official IIT Master Answer is **Option (B): `4 - P, 1 - Q, 2 - R`**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.