Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2007 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 Kanpur
- **Problem Statement**:
> Which of the following statements is correct?
**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)** *"(i), (ii) and iii) are false, but (iv) is true"*: ❌ **INCORRECT**.
- **(B)** *"(i), (ii) and (iv) are false, but (ili) is true"*: ✅ **CORRECT**.
- **(C)** *"(ii), iii) and (iv) are false, but (i) is true"*: ❌ **INCORRECT**.
- **(D)** *"(i), (iii) and (iv) are false, but (ii) is true"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2007 (IIT Kanpur) master answer key with 100% precision.