GATE PH 2018 • Q36 NAT • 2 Marks

Section 9: Nuclear and Particle Physics

Nuclear & Particle Physics

Subtopic: Nuclear Models, Radioactivity & Elementary Particles

Question Statement:

Amongst electrical resistivity (𝜌), thermal conductivity (𝜅), specific heat (C), Young's modulus (Y), and magnetic susceptibility (𝜒), which quantities show a sharp change at the superconducting transition temperature? (A) 𝜌, 𝜅, C, Y (B) 𝜌, C, 𝜒 (C) 𝜌, 𝜅, C, 𝜒 (D) 𝜅, Y, 𝜒 8/12

Official Answer Key:

2.5

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2018 Q.36)** **1. Theoretical Formulation & Physics Principles**: This question examines concepts in **Nuclear & Particle Physics** within *Section 9: Nuclear and Particle Physics* (2 Marks, 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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