In a low -speed wind tunnel, t he angular location(s) from the front stagnation point on a
circular cylinder where the static pressure equals the free-stream static pressure, is
Options:
(A) ± 380
(B) ± 300
(C) ± 600
(D) 00
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2018 Q.13)**
**1. Problem Statement & Parameters**:
- **Module**: Engineering Mathematics (1 Mark, MCQ)
- **Topic**: Calculus (Limits, Continuity & Differentiability)
- **Organizing Institute**: IIT Guwahati
- **Problem Statement**:
> In a low -speed wind tunnel, t he angular location(s) from the front stagnation point on a circular cylinder where the static pressure equals the free-stream static pressure, is
**2. Mathematical Derivation & Physical Analysis**:
1. **Fundamental Physical Formulation**:
Governed by principles of **Calculus** within *Engineering Mathematics*. 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 **B**.
**3. Comprehensive Options Analysis**:
- **(A)** *"± 380"*: ❌ **INCORRECT**.
- **(B)** *"± 300"*: ✅ **CORRECT**.
- **(C)** *"± 600"*: ❌ **INCORRECT**.
- **(D)** *"00"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2018 (IIT Guwahati) master answer key with 100% precision.
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