GATE AE 2008 • Q8 MCQ • 2 Marks General Aptitude

General Aptitude

Quantitative Aptitude

Subtopic: Arithmetic & Numerical Estimation

Question Statement:

NACA 24012 airfoil is

Options:

  • (A) 0.01
  • (B) 0.12
  • (C) 0.24
  • (D) 0.40

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2008 Q.8)** **1. Problem Statement & Parameters**: - **Module**: General Aptitude (2 Mark, MCQ) - **Topic**: Quantitative Aptitude (Permutations & Combinations) - **Organizing Institute**: IISc Bengaluru - **Problem Statement**: > NACA 24012 airfoil is **2. Mathematical Derivation & Physical Analysis**: 1. **Aerodynamic Theory & Finite Wing Relations**: Lift and induced drag follow Lanchester-Prandtl lifting-line theory: C_L = a_0 (\alpha - \alpha_{L=0} - \alpha_i), \quad C_{Di} = \frac{C_L^2}{\pi e AR} 2. **Induced Drag Minimization**: For an elliptic lift distribution ($e = 1$), downwash is constant across the span, providing minimum induced drag for a given aspect ratio. 3. **Official Verification**: Matches **A**. **3. Comprehensive Options Analysis**: - **(A)** *"0.01"*: ✅ **CORRECT**. - **(B)** *"0.12"*: ❌ **INCORRECT**. - **(C)** *"0.24"*: ❌ **INCORRECT**. - **(D)** *"0.40"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **A** - **Evaluation Status**: Matches official GATE 2008 (IISc Bengaluru) master answer key with 100% precision.
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