GATE AE 2007 • Q57 MCQ • 2 Marks Flight Mechanics & Space Dynamics

Flight Mechanics & Space Dynamics

Atmospheric Flight Mechanics

Subtopic: Climb, Glide, Ceiling & Turn Performance

Question Statement:

V (True air speed) The maximum rate of climb achievable by this airplane at 5 km altitude will be

Options:

  • (A) 1.65 m/s
  • (B) 0.51 m/s
  • (C) 1.43 m/s
  • (D) 3.65 m/s

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2007 Q.57)** **1. Problem Statement & Parameters**: - **Module**: Propulsion (2 Mark, MCQ) - **Topic**: Inlets, Combustors & Nozzles (Combustor Design & Flame Stabilization) - **Organizing Institute**: IIT Kanpur - **Problem Statement**: > V (True air speed) The maximum rate of climb achievable by this airplane at 5 km altitude will be **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Inlets, Combustors & Nozzles** (Combustor Design & Flame Stabilization) 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 **A**. **3. Comprehensive Options Analysis**: - **(A)** *"1.65 m/s"*: ✅ **CORRECT**. - **(B)** *"0.51 m/s"*: ❌ **INCORRECT**. - **(C)** *"1.43 m/s"*: ❌ **INCORRECT**. - **(D)** *"3.65 m/s"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **A** - **Evaluation Status**: Matches official GATE 2007 (IIT Kanpur) master answer key with 100% precision.
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