The longitudinal static stability of the airplane with low wing configuration will be
Options:
(A) more than the airplane with high wing configuration
(B) less than the airplane with high wing configuration
(C) same as the airplane with high wing configuration
(D) more if elevator is deflected
Official Answer Key:
D
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2007 Q.6)**
**1. Problem Statement & Parameters**:
- **Module**: General Aptitude (2 Mark, MCQ)
- **Topic**: Verbal Aptitude (Reading Comprehension)
- **Organizing Institute**: IIT Kanpur
- **Problem Statement**:
> The longitudinal static stability of the airplane with low wing configuration will be
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Verbal Aptitude** (Reading Comprehension) 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 **D**.
**3. Comprehensive Options Analysis**:
- **(A)** *"more than the airplane with high wing configuration"*: ❌ **INCORRECT**.
- **(B)** *"less than the airplane with high wing configuration"*: ❌ **INCORRECT**.
- **(C)** *"same as the airplane with high wing configuration"*: ❌ **INCORRECT**.
- **(D)** *"more if elevator is deflected"*: ✅ **CORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **D**
- **Evaluation Status**: Matches official GATE 2007 (IIT Kanpur) master answer key with 100% precision.
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