0+,2*, 4+
-23/2+
1200
1000
800
600
400
200
-19/2+
0+
-15/2*
11/2+
7/2+
Set I
Set II
For the given sets of energy levels of nuclei X and Y whose mass numbers
are odd and even, respectively, choose the best suited interpretation.
(A)
(B)
(C)
(D)
Set I: Rotational band of X
Set II: Vibrational band of Y
Set I: Rotational band of Y
Set II: Vibrational band of X
Set I: Vibrational band of X
Set II: Rotational band of Y
Set I: Vibrational band of Y
Set II: Rotational band of X
Options:
(A)
(B)
(C)
(D) Set I: Rotational band of X Set II: Vibrational band of Y Set I: Rotational band of Y Set II: Vibrational band of X Set I: Vibrational band of X Set II: Rotational band of Y Set I: Vibrational band of Y Set II: Rotational band of X
Official Answer Key:
D
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2021 Q.42 / PH Q.32)**
**1. Physical Principles & Examination Context**:
- **Topic**: *Electrostatics and Magnetostatics* (`Method of Images & Multipole Expansion`) | **Section**: *Section 3: Electromagnetic Theory*
- **Question Type**: **MCQ** | **Marks**: **2 Marks** | **Negative Marks**: **0.67**
- **Governing Principles**: Solved directly by applying fundamental laws of **Electrostatics and Magnetostatics**.
**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**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.