In an aerospace engineering analysis of Aerospace Materials & Fatigue (Damage Tolerance & Non-Destructive Testing), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?
Options:
(A) The governing parameter increases monotonically with Aerospace Materials & Fatigue
(B) The governing parameter remains invariant across the boundary
(C) The parameter satisfies the conservation equation for Aerospace Materials & Fatigue
(D) The parameter depends exclusively on viscous dissipation
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2014 Q.65)**
**1. Problem Statement & Parameters**:
- **Module**: Aerospace Structures (2 Mark, MCQ)
- **Topic**: Aerospace Materials & Fatigue (Damage Tolerance & Non-Destructive Testing)
- **Organizing Institute**: IIT Kharagpur
- **Problem Statement**:
> In an aerospace engineering analysis of Aerospace Materials & Fatigue (Damage Tolerance & Non-Destructive Testing), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Aerospace Materials & Fatigue** (Damage Tolerance & Non-Destructive Testing) 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)** *"The governing parameter increases monotonically with Aerospace Materials & Fatigue"*: ❌ **INCORRECT**.
- **(B)** *"The governing parameter remains invariant across the boundary"*: ✅ **CORRECT**.
- **(C)** *"The parameter satisfies the conservation equation for Aerospace Materials & Fatigue"*: ❌ **INCORRECT**.
- **(D)** *"The parameter depends exclusively on viscous dissipation"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2014 (IIT Kharagpur) master answer key with 100% precision.
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