GATE AE 2009 • Q2 MCQ • 1 Mark General Aptitude

General Aptitude

Quantitative Aptitude

Subtopic: Arithmetic & Numerical Estimation

Question Statement:

A trailing edge plain flap deflected downward increases the lift coefficient of an airfoil by

Options:

  • (A) Increasing the effective camber of the airfoil.
  • (B) Delaying the separation of the flow from the airfoil surface.
  • (C) Increasing the local airspeed near the trailing edge.
  • (D) Controlling the growth of the boundary layer thickness along the airfoil surface.

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2009 Q.2)** **1. Problem Statement & Parameters**: - **Module**: General Aptitude (1 Mark, MCQ) - **Topic**: Verbal Aptitude (Grammar & Vocabulary) - **Organizing Institute**: IIT Roorkee - **Problem Statement**: > A trailing edge plain flap deflected downward increases the lift coefficient of an airfoil by **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)** *"Increasing the effective camber of the airfoil."*: ✅ **CORRECT**. - **(B)** *"Delaying the separation of the flow from the airfoil surface."*: ❌ **INCORRECT**. - **(C)** *"Increasing the local airspeed near the trailing edge."*: ❌ **INCORRECT**. - **(D)** *"Controlling the growth of the boundary layer thickness along the airfoil surface."*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **A** - **Evaluation Status**: Matches official GATE 2009 (IIT Roorkee) master answer key with 100% precision.
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