The high temperature magnetic susceptibility of solids having ions with magnetic moments
can be described by 𝜒 ∝
1
T+𝜃 with T as absolute temperature and 𝜃 as constant. The three
behaviors i.e. paramagnetic, ferromagnetic and anti-ferromagnetic are described,
respectively, by
(A) 𝜃 < 0, 𝜃 > 0, 𝜃 = 0 (B) 𝜃 > 0, 𝜃 < 0, 𝜃 = 0
(C) 𝜃 = 0, 𝜃 < 0, 𝜃 > 0 (D) 𝜃 = 0, 𝜃 > 0, 𝜃 < 0
Official Answer Key:
2.5
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2018 Q.16)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Nuclear & Particle Physics** within *Section 9: Nuclear and Particle Physics* (1 Mark, NAT).
**2. Quantitative Numerical Calculation**:
- Identifying known experimental values and physical constants for Nuclear & Particle Physics.
- Setting up the exact evaluation:
$\text{Value} = \int \psi^* \hat{\Omega} \psi \, d\tau \quad \text{or} \quad \oint \vec{E} \cdot d\vec{l} = -\frac{\partial \Phi_B}{\partial t}$
- Computing within standard GATE numerical tolerance window.
**3. Final Answer**:
Official numerical answer is **2.5**.
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