GATE AE 2012 • Q10 MCQ • 2 Marks General Aptitude

General Aptitude

Quantitative Aptitude

Subtopic: Arithmetic & Numerical Estimation

Question Statement:

The Poisson's ratio,$\nu$ of most aircraft grade metallic alloys has values in the range:

Options:

  • (A) -1 $\nu$≤≤ 0
  • (B) 0 $\nu$≤≤ 0.2
  • (C) 0.2 $\nu$≤ ≤ 0.4
  • (D) 0.4 $\nu$≤≤ 0.5

Official Answer Key:

C

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,$\nu$ 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 $\nu$≤≤ 0"*: ❌ **INCORRECT**. - **(B)** *"0 $\nu$≤≤ 0.2"*: ❌ **INCORRECT**. - **(C)** *"0.2 $\nu$≤ ≤ 0.4"*: ✅ **CORRECT**. - **(D)** *"0.4 $\nu$≤≤ 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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