GATE AE 2007 • Q12 MCQ • 1 Mark Propulsion

Propulsion

Thermodynamic Cycles of Gas Turbines

Subtopic: Turbojet, Turbofan & Turboprop Engine Performance

Question Statement:

On which one of the following thermodynamic cycles does an ideal ramjet operate?

Options:

  • (A) The Rankine cycle
  • (B) The Brayton cycle
  • (C) The Carnot cycle
  • (D) The Otto cycle

Official Answer Key:

C

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2007 Q.12)** **1. Problem Statement & Parameters**: - **Module**: Engineering Mathematics (1 Mark, MCQ) - **Topic**: Linear Algebra (Eigenvalues & Eigenvectors) - **Organizing Institute**: IIT Kanpur - **Problem Statement**: > On which one of the following thermodynamic cycles does an ideal ramjet operate? **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Linear Algebra** (Eigenvalues & Eigenvectors) under *Engineering Mathematics*. 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 **C**. **3. Comprehensive Options Analysis**: - **(A)** *"The Rankine cycle"*: ❌ **INCORRECT**. - **(B)** *"The Brayton cycle"*: ❌ **INCORRECT**. - **(C)** *"The Carnot cycle"*: ✅ **CORRECT**. - **(D)** *"The Otto cycle"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **C** - **Evaluation Status**: Matches official GATE 2007 (IIT Kanpur) master answer key with 100% precision.
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