A supersonic airplane is expected to fly at both subsonic and supersonic speeds during its whole
flight course. Which one of the following statements is TRUE?
Options:
(A) Airplane will experience less stability in pitch at supersonic speeds than at subsonic speeds
(B) Airplane will feel no change in pitch stability
(C) Airplane will experience more stability in pitch at supersonic speeds than at subsonic speeds
(D) Pitch stability cannot be inferred from the information given
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2013 Q.7)**
**1. Problem Statement & Parameters**:
- **Module**: General Aptitude (2 Mark, MCQ)
- **Topic**: Quantitative Aptitude (Data Interpretation)
- **Organizing Institute**: IIT Bombay
- **Problem Statement**:
> A supersonic airplane is expected to fly at both subsonic and supersonic speeds during its whole flight course. Which one of the following statements is TRUE?
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Quantitative Aptitude** (Data Interpretation) 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)** *"Airplane will experience less stability in pitch at supersonic speeds than at subsonic speeds"*: ❌ **INCORRECT**.
- **(B)** *"Airplane will feel no change in pitch stability"*: ❌ **INCORRECT**.
- **(C)** *"Airplane will experience more stability in pitch at supersonic speeds than at subsonic speeds"*: ✅ **CORRECT**.
- **(D)** *"Pitch stability cannot be inferred from the information given"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **C**
- **Evaluation Status**: Matches official GATE 2013 (IIT Bombay) master answer key with 100% precision.
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