GATE AE 2024 • Q50 MSQ • 2 Marks

Flight Mechanics & Space Dynamics

Dynamic Stability

Subtopic: Dutch Roll, Spiral & Roll Subsidence Modes

Question Statement:

Which of the following statements is/are TRUE for a single stage axial compressor?

Options:

  • (A) Starting from design condition and keeping the mass flow rate constant, if the blade RPM is increased, the compressor rotor may experience positive incidence flow separation (actual relative flow angle greater than the design blade angle)
  • (B) Starting from design condition at the same blade RPM , if the mass flow rate is increased, the compressor rotor may experience positive incidence flow separation (actual relative flow angle greater than the design blade angle)
  • (C) Keeping the mass flow rate constant, if the blade RPM is increased, the compressor may experience surge
  • (D) At the same blade RPM, if the mass flow rate is increased, the compressor may experience surge

Official Answer Key:

A, C

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2024 Q.50)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Dynamic Stability** under *Flight Mechanics & Space Dynamics* (2 Mark, MSQ). **2. Aerospace Engineering Deduction**: - **Options Evaluation**: Evaluating each independent statement shows that options **`A, C`** satisfy all governing physics and conditions. - **Full Credit Condition**: Both/all choices `A, C` must be selected with zero negative marking. **3. Official Answer Verification**: Official Answer: **A, C**.

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