GATE AE 2023 • Q38 MCQ • 2 Marks

Aerodynamics & Fluid Mechanics

Incompressible & Compressible Aerodynamics

Subtopic: Airfoil & Wing Theory

Question Statement:

Two missiles A and B powered by solid rocket motors have identical specific impulse, liftoff mass of 5600 kg each, and burn durations of 30At = s and 70Bt = s, respectively. The propellant mass flow rates, Am and Bm , for missiles A and B, respectively, are given by 120 kg/s, 0 30 70 kg/s, 0 70 A B t t m m =   =   Neglecting gravity and aerodynamic forces, the relationship between the final velocities AV and BV of missiles A and B, respectively, is given by

Options:

  • (A) 4.1 BAVV =
  • (B) BAVV =
  • (C) 0.5 BAVV =
  • (D) 0.7 BAVV =

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2023 Q.38)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (2 Marks, 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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