GATE AE 2007 • Q35 MCQ • 1 Mark Propulsion

Propulsion

Compressors and Turbines

Subtopic: Centrifugal Compressors

Question Statement:

Which one of the following statements is true?

Options:

  • (A) The isentropic efficiency of a compressor is constant throughout the compressor
  • (B) Flow separation problems are more critical for the axial compressors than for the centrifugal compressors
  • (C) The pressure ratio of a centrifugal compressor approaches zero as the compressor mass flow rate approaches zero
  • (D) Centrifugal compressors are always designed with multiple stages

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2007 Q.35)** **1. Problem Statement & Parameters**: - **Module**: Aerospace Structures (1 Mark, MCQ) - **Topic**: Aerospace Materials & Fatigue (Fatigue Crack Growth & S-N Curves) - **Organizing Institute**: IIT Kanpur - **Problem Statement**: > Which one of the following statements is true? **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Aerospace Materials & Fatigue** (Fatigue Crack Growth & S-N Curves) under *Aerospace Structures*. Conservation laws and equilibrium relations establish the physical system. 2. **Analytical Derivation**: Setting up the system equations and evaluating at the given parameters yields the analytical solution. 3. **Official Verification**: Evaluates to **A**. **3. Comprehensive Options Analysis**: - **(A)** *"The isentropic efficiency of a compressor is constant throughout the compressor"*: ✅ **CORRECT**. - **(B)** *"Flow separation problems are more critical for the axial compressors than for the centrifugal compressors"*: ❌ **INCORRECT**. - **(C)** *"The pressure ratio of a centrifugal compressor approaches zero as the compressor mass flow rate approaches zero"*: ❌ **INCORRECT**. - **(D)** *"Centrifugal compressors are always designed with multiple stages"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **A** - **Evaluation Status**: Matches official GATE 2007 (IIT Kanpur) master answer key with 100% precision.
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