As shown in the figure, an electromagnetic wave with intensity I, is incident
at the interface of two media having refractive indices N1 = 1 and n2 = V3.
The wave is reflected with intensity In and transmitted with intensity IT.
Permeability of each medium is the same. (Reflection coefficient R = IR/L,
and Transmission coefficient T = Iт/I).
N1
n2
Choose the correct statements).
R = 0 if 0, = 0º and polarization of incident light is parallel to the plane of
incidence.
(B) T = 1 if 0, = 60° and polarization of incident light is parallel to the plane of
incidence.
(C) R = 0 if 0, = 60° and polarization of incident light is perpendicular to the
plane of incidence.
(D) T = 1 if 0, = 60º and polarization of incident light is perpendicular to the
plane of incidence.
Options:
(B) T = 1 if 0, = 60° and polarization of incident light is parallel to the plane of incidence.
(C) R = 0 if 0, = 60° and polarization of incident light is perpendicular to the plane of incidence.
(D) T = 1 if 0, = 60º and polarization of incident light is perpendicular to the plane of incidence.
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2021 Q.21 / PH Q.11)**
**1. Physical Principles & Examination Context**:
- **Topic**: *Schrodinger equation & Wave Mechanics* (`1D Potential Wells, Steps & Tunneling`) | **Section**: *Section 4: Quantum Mechanics*
- **Question Type**: **MSQ** | **Marks**: **1 Mark** | **Negative Marks**: **0**
- **Governing Principles**: Solved directly by applying fundamental laws of **Schrodinger equation & Wave Mechanics**.
**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 **B**.
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