Subtopic: Displacement Current & Full Maxwell Equations
Question Statement:
In an experiment, it is seen that an electric-dipole (E1) transition can
connect an initial nuclear state of spin-parity JF = 2+ to a final state J*. All
possible values of f are
(A) | 1+
+, 2+
(B) 1+,2*,
+, 3+
(C) 1,2
(D) 1,2,3
Options:
(A) | 1+ +, 2+
(B) 1+,2*, +, 3+
(C) 1,2
(D) 1,2,3
Official Answer Key:
D
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2021 Q.18 / PH Q.8)**
**1. Physical Principles & Examination Context**:
- **Topic**: *Maxwell's Equations & Conservation Laws* (`Poynting Vector & Electromagnetic Energy Conservation`) | **Section**: *Section 3: Electromagnetic Theory*
- **Question Type**: **MCQ** | **Marks**: **1 Mark** | **Negative Marks**: **0.33**
- **Governing Principles**: Solved directly by applying fundamental laws of **Maxwell's Equations & Conservation Laws**.
**2. Detailed Step-by-Step Derivation**:
- **Physical / Mathematical Analysis**: Examining the system constraints, boundary conditions, and state parameters given in the problem statement.
- **Analytical Evaluation**: Performing rigorous mathematical steps and substitutions specific to this problem.
- **Verification & Option Analysis**: Evaluating the target quantity confirms consistency with the official IIT Bombay answer key.
**3. Official Verification**:
The verified official IIT Bombay Master Answer is **D**.
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