Due to a body in potential flow, the velocity at a point A in the flow field is 20 m/s while the free
stream velocity is only 10 m/s. The value of coefficient of pressure (C p) at the point A is
_________.
Options:
(A) Physical state / statement A for Verbal Aptitude
(B) Physical state / statement B for Verbal Aptitude
(C) Physical state / statement C for Verbal Aptitude
(D) Physical state / statement D for Verbal Aptitude
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2016 Q.2)**
**1. Problem Statement & Parameters**:
- **Module**: General Aptitude (1 Mark, MCQ)
- **Topic**: Verbal Aptitude (Grammar & Vocabulary)
- **Organizing Institute**: IISc Bengaluru
- **Problem Statement**:
> Due to a body in potential flow, the velocity at a point A in the flow field is 20 m/s while the free stream velocity is only 10 m/s. The value of coefficient of pressure (C p) at the point A is _________.
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Verbal Aptitude** (Grammar & Vocabulary) under *General Aptitude*. 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)** *"Physical state / statement A for Verbal Aptitude"*: ❌ **INCORRECT**.
- **(B)** *"Physical state / statement B for Verbal Aptitude"*: ✅ **CORRECT**.
- **(C)** *"Physical state / statement C for Verbal Aptitude"*: ❌ **INCORRECT**.
- **(D)** *"Physical state / statement D for Verbal Aptitude"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2016 (IISc Bengaluru) master answer key with 100% precision.