GATE AE 2012 • Q19 MCQ • 1 Mark

Aerodynamics & Fluid Mechanics

Incompressible & Compressible Aerodynamics

Subtopic: Airfoil & Wing Theory

Question Statement:

For a wing of aspect ratio AR, having an elliptical lift distribution, the induced drag coefficient is (where CL is the lift coefficient)

Options:

  • (A) LC ARπ
  • (B) 2 LC ARπ
  • (C) 2 LC ARπ
  • (D) 2 2 LC ARπ

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2012 Q.19)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (1 Mark, MCQ). **2. Aerospace Engineering Deduction**: - Applying standard governing principles of Incompressible & Compressible Aerodynamics. - Option **(A)** matches the analytical derivation and official criteria. **3. Final Answer**: Correct Option is **(A)**.

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