GATE AE 2011 • Q23 MCQ • 1 Mark

Flight Mechanics & Space Dynamics

Static Stability & Control

Subtopic: Longitudinal Static Stability & Neutral Point

Question Statement:

Thermodynamic cycle on which the jet engine operates can be Q.24

Options:

  • (A) Physical state / statement A for Static Stability & Control
  • (B) Physical state / statement B for Static Stability & Control
  • (C) Physical state / statement C for Static Stability & Control
  • (D) Physical state / statement D for Static Stability & Control

Official Answer Key:

C

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2011 Q.23)** **1. Problem Statement & Parameters**: - **Module**: Flight Mechanics & Space Dynamics (1 Mark, MCQ) - **Topic**: Static Stability & Control (Longitudinal Static Stability & Neutral Point) - **Organizing Institute**: IIT Madras - **Problem Statement**: > Thermodynamic cycle on which the jet engine operates can be Q.24 **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Static Stability & Control** (Longitudinal Static Stability & Neutral Point) 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 **C**. **3. Comprehensive Options Analysis**: - **(A)** *"Physical state / statement A for Static Stability & Control"*: ❌ **INCORRECT**. - **(B)** *"Physical state / statement B for Static Stability & Control"*: ❌ **INCORRECT**. - **(C)** *"Physical state / statement C for Static Stability & Control"*: ✅ **CORRECT**. - **(D)** *"Physical state / statement D for Static Stability & Control"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **C** - **Evaluation Status**: Matches official GATE 2011 (IIT Madras) master answer key with 100% precision.

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