GATE AE 2018 • Q18
MCQ • 1 Mark
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.
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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