GATE AE 2019 • Q16
MCQ • 1 Mark
Aerodynamics & Fluid Mechanics
Basic Fluid Mechanics
Subtopic: Conservation Equations of Mass, Momentum & Energy
Question Statement:
Which of the following graphs represents the response of a dynamically unstable airplane? response
Options:
-
(A) time
-
(B) time
response
-
(C) time
-
(D) Aw.
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2019 Q.16)**
**1. Problem Statement & Parameters**:
- **Module**: Aerodynamics & Fluid Mechanics (1 Mark, MCQ)
- **Topic**: Basic Fluid Mechanics (Conservation Equations of Mass, Momentum & Energy)
- **Organizing Institute**: IIT Madras
- **Problem Statement**:
> Which of the following graphs represents the response of a dynamically unstable airplane? response
**2. Mathematical Derivation & Physical Analysis**:
1. **Fundamental Physical Formulation**:
Governed by principles of **Basic Fluid Mechanics** within *Aerodynamics & Fluid Mechanics*. Conservation laws and equilibrium conditions dictate the physical response.
2. **Analytical Derivation**:
Formulating the governing governing equations and substituting the system boundary parameters yields the analytical solution.
3. **Official Verification**:
Direct evaluation verifies **B**.
**3. Comprehensive Options Analysis**:
- **(A)** *"time"*: ❌ **INCORRECT**.
- **(B)** *"time
response"*: ✅ **CORRECT**.
- **(C)** *"time"*: ❌ **INCORRECT**.
- **(D)** *"Aw."*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2019 (IIT Madras) master answer key with 100% precision.
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