GATE PH 2021 • Q17 MCQ • 1 Mark

Section 3: Electromagnetic Theory

Maxwell's Equations & Conservation Laws

Subtopic: Displacement Current & Full Maxwell Equations

Question Statement:

(A) (B) (C) (D) Assume that 13N (Z = 7) undergoes first forbidden B+ decay from its ground state with spin-parity Ji, to a final state J*. The possible values for JE and Ji, respectively, are 1- 5+ 1* 5+ 1 15 1+ 1 2

Options:

  • (A)
  • (B)
  • (C)
  • (D) Assume that 13N (Z = 7) undergoes first forbidden B+ decay from its ground state with spin-parity Ji, to a final state J*. The possible values for JE and Ji, respectively, are 1- 5+ 1* 5+ 1 15 1+ 1 2

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2021 Q.17 / PH Q.7)** **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 **A**.

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