GATE AE 2009 • Q24
MCQ • 1 Mark
Flight Mechanics & Space Dynamics
Dynamic Stability
Subtopic: Short Period & Phugoid Longitudinal Modes
Question Statement:
Stagnation temperature increases.
Options:
-
(A) P, Q. R
-
(B) Q, R, S
-
(C) R, S, T
-
(D) S, T, P
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2009 Q.24)**
**1. Problem Statement & Parameters**:
- **Module**: Flight Mechanics & Space Dynamics (1 Mark, MCQ)
- **Topic**: Dynamic Stability (Short Period & Phugoid Longitudinal Modes)
- **Organizing Institute**: IIT Roorkee
- **Problem Statement**:
> Stagnation temperature increases.
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Dynamic Stability** (Short Period & Phugoid Longitudinal Modes) under *Flight Mechanics & Space Dynamics*. 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)** *"P, Q. R"*: ❌ **INCORRECT**.
- **(B)** *"Q, R, S"*: ✅ **CORRECT**.
- **(C)** *"R, S, T"*: ❌ **INCORRECT**.
- **(D)** *"S, T, P"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2009 (IIT Roorkee) master answer key with 100% precision.
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