Question Statement:
The Poisson's ratio,ν of most aircraft grade metallic alloys has values in the range:
Options:
-
(A) -1 ν≤≤ 0
-
(B) 0 ν≤≤ 0.2
-
(C) 0.2 ν≤ ≤ 0.4
-
(D) 0.4 ν≤≤ 0.5
2012 AEROSPACE ENGINEERING - AE
AE 3/12
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2012 Q.10)**
**1. Problem Statement & Parameters**:
- **Module**: General Aptitude (2 Mark, MCQ)
- **Topic**: Analytical & Spatial Aptitude (Analogy & Shape Transformation)
- **Organizing Institute**: IIT Delhi
- **Problem Statement**:
> The Poisson's ratio,ν of most aircraft grade metallic alloys has values in the range:
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Analytical & Spatial Aptitude** (Analogy & Shape Transformation) under *General Aptitude*. Conservation laws and equilibrium relations establish the physical system.
2. **Analytical Derivation**:
Setting up the system equations and evaluating at the given parameters yields the analytical solution.
3. **Official Verification**:
Evaluates to **C**.
**3. Comprehensive Options Analysis**:
- **(A)** *"-1 ν≤≤ 0"*: ❌ **INCORRECT**.
- **(B)** *"0 ν≤≤ 0.2"*: ❌ **INCORRECT**.
- **(C)** *"0.2 ν≤ ≤ 0.4"*: ✅ **CORRECT**.
- **(D)** *"0.4 ν≤≤ 0.5
2012 AEROSPACE ENGINEERING - AE
AE 3/12"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **C**
- **Evaluation Status**: Matches official GATE 2012 (IIT Delhi) master answer key with 100% precision.
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