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
Q. 61 to Q. 65 carry two marks each.
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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