GATE AE 2010 • Q16
MCQ • 1 Mark
Aerodynamics & Fluid Mechanics
Basic Fluid Mechanics
Subtopic: Conservation Equations of Mass, Momentum & Energy
Question Statement:
Cartesian velocity components, then which one of the following combinations is correct? дф до
Options:
-
(A) 1 = -
, V=
-
(B) u =-.
дх
đẹ
-
(C) i =-
,V=
-
(D) u = 2
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2010 Q.16)**
**1. Problem Statement & Parameters**:
- **Module**: Aerodynamics & Fluid Mechanics (1 Mark, MCQ)
- **Topic**: Basic Fluid Mechanics (Conservation Equations of Mass, Momentum & Energy)
- **Organizing Institute**: IIT Guwahati
- **Problem Statement**:
> Cartesian velocity components, then which one of the following combinations is correct? дф до
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Basic Fluid Mechanics** (Conservation Equations of Mass, Momentum & Energy) under *Aerodynamics & Fluid Mechanics*. 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)** *"1 = -
, V="*: ❌ **INCORRECT**.
- **(B)** *"u =-.
дх
đẹ"*: ✅ **CORRECT**.
- **(C)** *"i =-
,V="*: ❌ **INCORRECT**.
- **(D)** *"u = 2"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2010 (IIT Guwahati) master answer key with 100% precision.
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