Subtopic: Lagrangian & Hamiltonian Dynamics & Special Relativity
Question Statement:
A pair of eigenvalues of the perturbed Hamiltonian, using first order perturbation theory, is
(A) 3+2ε, 7+2ε (B) 3+2 ε, 2+ε (C) 3, 7+2 ε (D) 3, 2+2 ε
2013 PHYSICS - PH
PH 11/13
Linked Answer Questions
Statement for Linked Answer Questions 52 and 53: In the Schmidt model of nuclear magnetic moments,
we have,
Ԧൌ
ଶெԦ൯
where the symbols have their usual meaning
Official Answer Key:
2.5
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2013 Q.51)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Classical Mechanics** within *Section 2: Classical Mechanics* (2 Marks, NAT).
**2. Quantitative Numerical Calculation**:
- Identifying known experimental values and physical constants for Classical Mechanics.
- 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**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.