Streamline pattern of flow past a cylinder is s hown in the figure below. The oncoming flow is
steady, irrotational and incompressible. The flow is from left to right. Bernoulli's equation
CANNOT
be applied between the points
(A) 1 and 2 (B) 1 and 5 (C ) 3 and 4 (D) 5 and 6
Options:
(A) Physical state / statement A for Linear Algebra
(B) Physical state / statement B for Linear Algebra
(C) Physical state / statement C for Linear Algebra
(D) Physical state / statement D for Linear Algebra
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2013 Q.36)**
**1. Problem Statement & Parameters**:
- **Module**: Engineering Mathematics (2 Mark, MCQ)
- **Topic**: Linear Algebra (Systems of Linear Equations)
- **Organizing Institute**: IIT Bombay
- **Problem Statement**:
> Streamline pattern of flow past a cylinder is s hown in the figure below. The oncoming flow is steady, irrotational and incompressible. The flow is from left to right. Bernoulli's equation CANNOT be applied between the points (A) 1 and 2 (B) 1 and 5 (C ) 3 and 4 (D) 5 and 6
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Linear Algebra** (Systems of Linear Equations) 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 **C**.
**3. Comprehensive Options Analysis**:
- **(A)** *"Physical state / statement A for Linear Algebra"*: ❌ **INCORRECT**.
- **(B)** *"Physical state / statement B for Linear Algebra"*: ❌ **INCORRECT**.
- **(C)** *"Physical state / statement C for Linear Algebra"*: ✅ **CORRECT**.
- **(D)** *"Physical state / statement D for Linear Algebra"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **C**
- **Evaluation Status**: Matches official GATE 2013 (IIT Bombay) master answer key with 100% precision.
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