GATE AE 2026 • Q29 MCQ • 1 Mark

Engineering Mathematics

Linear Algebra & Differential Equations

Subtopic: Mathematical Formulations

Question Statement:

Which of the following statements is/are TRUE regarding critical and drag divergence Mach numbers of a wing?

Options:

  • (A) Critical Mach number is the minimum freestream Mach number for which sonic condition is attained somewhere over the wing
  • (B) Drag divergence Mach number is always higher than the critical Mach number
  • (C) Drag divergence Mach number is the local Mach number over the wing at which the drag increases drastically
  • (D) Critical Mach number is independent of the angle of attack

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2026 Q.29)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Linear Algebra & Differential Equations** under *Engineering Mathematics* (1 Mark, MCQ). **2. Aerospace Engineering Deduction**: - Applying standard governing principles of Linear Algebra & Differential Equations. - Option **(A)** matches the analytical derivation and official criteria. **3. Final Answer**: Correct Option is **(A)**.

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