GATE AE 2008 • Q12 MCQ • 1 Mark Aerodynamics & Fluid Mechanics

Aerodynamics & Fluid Mechanics

Compressible Flow & Shocks

Subtopic: 1D Isentropic Flow & Area-Mach Relations

Question Statement:

Mach number at the entry to the combustion chamber is around

Options:

  • (A) 0
  • (B) 0.3
  • (C) 2
  • (D) 6

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2008 Q.12)** **1. Problem Statement & Parameters**: - **Module**: Engineering Mathematics (1 Mark, MCQ) - **Topic**: Linear Algebra (Eigenvalues & Eigenvectors) - **Organizing Institute**: IISc Bengaluru - **Problem Statement**: > Mach number at the entry to the combustion chamber is around **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 **B**. **3. Comprehensive Options Analysis**: - **(A)** *"0"*: ❌ **INCORRECT**. - **(B)** *"0.3"*: ✅ **CORRECT**. - **(C)** *"2"*: ❌ **INCORRECT**. - **(D)** *"6"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **B** - **Evaluation Status**: Matches official GATE 2008 (IISc Bengaluru) master answer key with 100% precision.
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