GATE AE 2013 • Q60 MCQ • 2 Marks Aerospace Structures

Aerospace Structures

Strength of Materials & Elasticity

Subtopic: Euler Buckling of Columns & Energy Methods

Question Statement:

Select the pair that best expresses a relationship similar to that expressed in the pair: water: pipe::

Options:

  • (A) cart: road
  • (B) electricity: wire
  • (C) sea: beach
  • (D) music: instrument

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2013 Q.60)** **1. Problem Statement & Parameters**: - **Module**: Aerospace Structures (2 Mark, MCQ) - **Topic**: Strength of Materials & Elasticity (Euler Buckling of Columns & Energy Methods) - **Organizing Institute**: IIT Bombay - **Problem Statement**: > Select the pair that best expresses a relationship similar to that expressed in the pair: water: pipe:: **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Strength of Materials & Elasticity** (Euler Buckling of Columns & Energy Methods) under *Aerospace Structures*. 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 **B**. **3. Comprehensive Options Analysis**: - **(A)** *"cart: road"*: ❌ **INCORRECT**. - **(B)** *"electricity: wire"*: ✅ **CORRECT**. - **(C)** *"sea: beach"*: ❌ **INCORRECT**. - **(D)** *"music: instrument Q. 61 to Q. 65 carry two marks each."*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **B** - **Evaluation Status**: Matches official GATE 2013 (IIT Bombay) master answer key with 100% precision.
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