GATE AE 2009 • Q19
MCQ • 1 Mark
Aerodynamics & Fluid Mechanics
Compressible Flow & Shocks
Subtopic: 1D Isentropic Flow & Area-Mach Relations
Question Statement:
The contribution of the tail to the aircraft longitudinal stability
Options:
-
(A) is stabilizing
-
(B) is destabilizing
-
(C) is nil
-
(D) cannot be determined from the given information
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2009 Q.19)**
**1. Problem Statement & Parameters**:
- **Module**: Aerodynamics & Fluid Mechanics (1 Mark, MCQ)
- **Topic**: Compressible Flow & Shocks (1D Isentropic Flow & Area-Mach Relations)
- **Organizing Institute**: IIT Roorkee
- **Problem Statement**:
> The contribution of the tail to the aircraft longitudinal stability
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Compressible Flow & Shocks** (1D Isentropic Flow & Area-Mach Relations) under *Aerodynamics & Fluid Mechanics*. 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)** *"is stabilizing"*: ❌ **INCORRECT**.
- **(B)** *"is destabilizing"*: ❌ **INCORRECT**.
- **(C)** *"is nil"*: ❌ **INCORRECT**.
- **(D)** *"cannot be determined from the given information"*: ✅ **CORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **D**
- **Evaluation Status**: Matches official GATE 2009 (IIT Roorkee) master answer key with 100% precision.
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