Subtopic: Spin Angular Momentum & Pauli Spin Matrices
Question Statement:
For a two-nucleon system in spin singlet state, the spin is represented
through the Pauli matrices 01, 0z for particles 1 and 2, respectively.
The value of (01 \cdot 02) (in integer) is _
Official Answer Key:
-3 to -3
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2021 Q.59 / PH Q.49)**
**1. Physical Principles & Examination Context**:
- **Topic**: *Operational Amplifiers & Analog Circuits* (`Inverting and Non-inverting Op-Amp Configurations`) | **Section**: *Section 8: Electronics*
- **Question Type**: **NAT** | **Marks**: **2 Marks** | **Negative Marks**: **0**
- **Governing Principles**: Solved directly by applying fundamental laws of **Operational Amplifiers & Analog Circuits**.
**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 **-3 to -3**.
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