GATE AE 2014 • Q23 MCQ • 1 Mark

Flight Mechanics & Space Dynamics

Static Stability & Control

Subtopic: Longitudinal Static Stability & Neutral Point

Question Statement:

Under what conditionshould a glider be operated to ensure minimum sink rate?

Options:

  • (A) Maximum CL/CD
  • (B) Minimum CL/CD
  • (C) Maximum CD/CL 3/2
  • (D) Minimum CD/CL 3/2

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2014 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 Kharagpur - **Problem Statement**: > Under what conditionshould a glider be operated to ensure minimum sink rate? **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 **B**. **3. Comprehensive Options Analysis**: - **(A)** *"Maximum CL/CD"*: ❌ **INCORRECT**. - **(B)** *"Minimum CL/CD"*: ✅ **CORRECT**. - **(C)** *"Maximum CD/CL 3/2"*: ❌ **INCORRECT**. - **(D)** *"Minimum CD/CL 3/2"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **B** - **Evaluation Status**: Matches official GATE 2014 (IIT Kharagpur) master answer key with 100% precision.

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