In an un-powered glide of an aircraft having weight W, lift L and drag D, the equilibrium glide
angle is defined as
Options:
(A) Physical state / statement A for Calculus
(B) Physical state / statement B for Calculus
(C) Physical state / statement C for Calculus
(D) Physical state / statement D for Calculus
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2011 Q.13)**
**1. Problem Statement & Parameters**:
- **Module**: Engineering Mathematics (1 Mark, MCQ)
- **Topic**: Calculus (Limits, Continuity & Differentiability)
- **Organizing Institute**: IIT Madras
- **Problem Statement**:
> In an un-powered glide of an aircraft having weight W, lift L and drag D, the equilibrium glide angle is defined as
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Calculus** (Limits, Continuity & Differentiability) under *Engineering Mathematics*. 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)** *"Physical state / statement A for Calculus"*: ✅ **CORRECT**.
- **(B)** *"Physical state / statement B for Calculus"*: ❌ **INCORRECT**.
- **(C)** *"Physical state / statement C for Calculus"*: ❌ **INCORRECT**.
- **(D)** *"Physical state / statement D for Calculus"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **A**
- **Evaluation Status**: Matches official GATE 2011 (IIT Madras) master answer key with 100% precision.
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