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:
B
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2024 Q.52)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Nuclear & Particle Physics** within *Section 9: Nuclear and Particle Physics* (2 Marks, MCQ).
**2. Analytical Derivation & Formalism**:
- Formulating the fundamental physics relations governing Nuclear & Particle Physics:
- 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)**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.