GATE AE 2008 • Q27 MCQ • 1 Mark

Propulsion

Thermodynamic Cycles of Gas Turbines

Subtopic: Turbojet, Turbofan & Turboprop Engine Performance

Question Statement:

Which of the following statements is TRUE regarding aircraft stability?

Options:

  • (A) Wing dihedral reduces roll stability while a low wing increases roll stability.
  • (B) Wing dihedral increases roll stability while a low wing reduces roll stability.
  • (C) Wing dihedral, as well as low wing reduces roll stability.
  • (D) Wing dihedral, as well as low wing increases roll stability.

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2008 Q.27)** **1. Problem Statement & Parameters**: - **Module**: Propulsion (1 Mark, MCQ) - **Topic**: Thermodynamic Cycles of Gas Turbines (Turbojet, Turbofan & Turboprop Engine Performance) - **Organizing Institute**: IISc Bengaluru - **Problem Statement**: > TRUE? **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Thermodynamic Cycles of Gas Turbines** (Turbojet, Turbofan & Turboprop Engine Performance) under *Propulsion*. 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)** *"Wing dihedral reduces roll stability while a low wing increases roll stability."*: ❌ **INCORRECT**. - **(B)** *"Wing dihedral increases roll stability while a low wing reduces roll stability."*: ✅ **CORRECT**. - **(C)** *"Wing dihedral, as well as low wing reduces roll stability."*: ❌ **INCORRECT**. - **(D)** *"Wing dihedral, as well as low wing increases roll stability."*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **B** - **Evaluation Status**: Matches official GATE 2008 (IISc Bengaluru) master answer key with 100% precision.

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