Subtopic: Bragg's Law & X-ray Diffraction (Laue and Powder)
Question Statement:
A light source having its intensity peak at the wavelength 289.8 nm is
calibrated as 10,000 K which is the temperature of an equivalent black body
radiation. Considering the same calibration, the temperature of light source
(in K) having its intensity peak at the wavelength 579.6 nm (rounded off to
the nearest integer) is _
Official Answer Key:
5000 to 5000
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2021 Q.29 / PH Q.19)**
**1. Physical Principles & Examination Context**:
- **Topic**: *Crystal Structure & Lattice Dynamics* (`Bragg's Law & X-ray Diffraction (Laue and Powder)`) | **Section**: *Section 7: Solid State Physics*
- **Question Type**: **NAT** | **Marks**: **1 Mark** | **Negative Marks**: **0**
- **Governing Principles**: Solved directly by applying fundamental laws of **Crystal Structure & Lattice Dynamics**.
**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 **5000 to 5000**.
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