GATE AE 2013 • Q24 MCQ • 1 Mark Flight Mechanics & Space Dynamics

Flight Mechanics & Space Dynamics

Dynamic Stability

Subtopic: Short Period & Phugoid Longitudinal Modes

Question Statement:

Which one of the following shows the CORRECT variation of stagnation temperature along the axis of an ideal ram jet engine?

Options:

  • (A) Figure A: Stagnation temperature constant across turbine
  • (B) Figure B: Stagnation temperature rising across compressor and combustor, falling across turbine
  • (C) Figure C: Stagnation temperature decreasing monotonically from inlet to nozzle
  • (D) Figure D: Stagnation temperature constant across entire engine

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2013 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 Bombay - **Problem Statement**: > Which one of the following shows the CORRECT variation of stagnation temperature along the axis of an ideal ram jet engine? **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)** *""*: ❌ **INCORRECT**. - **(B)** *""*: ✅ **CORRECT**. - **(C)** *""*: ❌ **INCORRECT**. - **(D)** *""*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **B** - **Evaluation Status**: Matches official GATE 2013 (IIT Bombay) master answer key with 100% precision.
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