The spacing between two consecutive S-branch lines of the rotational Raman
spectra of hydrogen gas is 243.2 cm 1. After excitation with a laser of
wavelength 514.5 nm, the Stoke's line appeared at 17611.4 cm 1 for a
particular energy level. The wavenumber (rounded off to the nearest
integer), in CM 1
, at which Stoke's line will appear for the next higher energy
level is
Official Answer Key:
17367 to 17371
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2021 Q.32 / PH Q.22)**
**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**: **1 Mark** | **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 **17367 to 17371**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.