Subtopic: Inverting and Non-inverting Op-Amp Configurations
Question Statement:
The Coulomb energy component in the binding energy of a nucleus is
18.432 MeV. If the radius of the uniform and spherical charge distribution
in the nucleus is 3 fm, the corresponding atomic number (rounded off to the
nearest integer) is
e?
(Given:
4TE0
\cdot = 1.44 MeV fm)
Official Answer Key:
8 to 9
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2021 Q.58 / PH Q.48)**
**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 **8 to 9**.
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