2021
0.4
As shown in the figure, two metal-semiconductor junctions are formed
between an n-type semiconductor S and metal M. The work functions of s
and M are @s and Pm, respectively with m > s.
M SM
The I - V characteristics (on linear scale) of the junctions is best
represented by
(A)
(B)
(D)
Options:
(A)
(B)
(D)
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2021 Q.14 / PH Q.4)**
**1. Physical Principles & Examination Context**:
- **Topic**: *Lagrangian & Hamiltonian Dynamics* (`Euler-Lagrange Equations of Motion`) | **Section**: *Section 2: Classical Mechanics*
- **Question Type**: **MCQ** | **Marks**: **1 Mark** | **Negative Marks**: **0.33**
- **Governing Principles**: Solved directly by applying fundamental laws of **Lagrangian & Hamiltonian 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 **A**.
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