GATE AE 2015 • Q13
MCQ • 1 Mark
Engineering Mathematics
Calculus
Subtopic: Limits, Continuity & Differentiability
Question Statement:
Which one of the following modes of a stable aircraft has non-oscillatory response characteristics?
Options:
-
(A) Short period
-
(B) Phugoid
-
(C) Dutch roll
-
(D) Spiral
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2015 Q.13)**
**1. Problem Statement & Parameters**:
- **Module**: Engineering Mathematics (1 Mark, MCQ)
- **Topic**: Calculus (Limits, Continuity & Differentiability)
- **Organizing Institute**: IIT Kanpur
- **Problem Statement**:
> Which one of the following modes of a stable aircraft has non-oscillatory response characteristics?
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Calculus** (Limits, Continuity & Differentiability) under *Engineering Mathematics*. 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 **A**.
**3. Comprehensive Options Analysis**:
- **(A)** *"Short period"*: ✅ **CORRECT**.
- **(B)** *"Phugoid"*: ❌ **INCORRECT**.
- **(C)** *"Dutch roll"*: ❌ **INCORRECT**.
- **(D)** *"Spiral"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **A**
- **Evaluation Status**: Matches official GATE 2015 (IIT Kanpur) master answer key with 100% precision.
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