P 0.8 0.4 0 In the above figure, c, refers to the section lift coefficient, C, refers to the lif coefficient of the wing, y is the coordinate along the span and s is the span of the wing. A designer prefers to use a wing for which the stall begins at the root. Which of the wings will he choose?
Options:
(A) P
(B) Q
(C) R
(D) None
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2007 Q.51)**
**1. Problem Statement & Parameters**:
- **Module**: Flight Mechanics & Space Dynamics (2 Mark, MCQ)
- **Topic**: Space Dynamics & Orbital Mechanics (Hohmann Transfer & Orbital Maneuvers)
- **Organizing Institute**: IIT Kanpur
- **Problem Statement**:
> P 0.8 0.4 0 In the above figure, c, refers to the section lift coefficient, C, refers to the lif coefficient of the wing, y is the coordinate along the span and s is the span of the wing. A designer prefers to use a wing for which the stall begins at the root. Which of the wings will he choose?
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Space Dynamics & Orbital Mechanics** (Hohmann Transfer & Orbital Maneuvers) 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)** *"P"*: ❌ **INCORRECT**.
- **(B)** *"Q"*: ✅ **CORRECT**.
- **(C)** *"R"*: ❌ **INCORRECT**.
- **(D)** *"None"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2007 (IIT Kanpur) master answer key with 100% precision.
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