GATE AE 2018 • Q18 MCQ • 1 Mark Aerodynamics & Fluid Mechanics

Aerodynamics & Fluid Mechanics

Compressible Flow & Shocks

Subtopic: Normal & Oblique Shock Waves

Question Statement:

The first law of thermodynamics is also known as conservation of

Options:

  • (A) mass.
  • (B) momentum.
  • (C) energy.
  • (D) species.

Official Answer Key:

C

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2018 Q.18)** **1. Problem Statement & Parameters**: - **Module**: Aerodynamics & Fluid Mechanics (1 Mark, MCQ) - **Topic**: Compressible Flow & Shocks (Normal & Oblique Shock Waves) - **Organizing Institute**: IIT Guwahati - **Problem Statement**: > The first law of thermodynamics is also known as conservation of **2. Mathematical Derivation & Physical Analysis**: 1. **Fundamental Physical Formulation**: Governed by principles of **Compressible Flow & Shocks** within *Aerodynamics & Fluid Mechanics*. Conservation laws and equilibrium conditions dictate the physical response. 2. **Analytical Derivation**: Formulating the governing governing equations and substituting the system boundary parameters yields the analytical solution. 3. **Official Verification**: Direct evaluation verifies **C**. **3. Comprehensive Options Analysis**: - **(A)** *"mass."*: ❌ **INCORRECT**. - **(B)** *"momentum."*: ❌ **INCORRECT**. - **(C)** *"energy."*: ✅ **CORRECT**. - **(D)** *"species."*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **C** - **Evaluation Status**: Matches official GATE 2018 (IIT Guwahati) master answer key with 100% precision.
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