(A)
(B)
In a semiconductor, the ratio of the effective mass of hole to electron is 2:11
and the ratio of average relaxation time for hole to electron is 1:2. The ratio
of the mobility of the hole to electron is
4:9
4:11
(C) | 9:4
(D) 11:4
Options:
(A)
(B) In a semiconductor, the ratio of the effective mass of hole to electron is 2:11 and the ratio of average relaxation time for hole to electron is 1:2. The ratio of the mobility of the hole to electron is 4:9 4:11
(C) | 9:4
(D) 11:4
Official Answer Key:
D
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2021 Q.37 / PH Q.27)**
**1. Physical Principles & Examination Context**:
- **Topic**: *Differential equations* (`First and Second Order ODEs`) | **Section**: *Section 1: Mathematical Physics*
- **Question Type**: **MCQ** | **Marks**: **2 Marks** | **Negative Marks**: **0.67**
- **Governing Principles**: Solved directly by applying fundamental laws of **Differential equations**.
**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 **D**.
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