In an aerospace engineering analysis of Wind Tunnel Testing & Instrumentation (Pitot-Static Probes & Pressure Transducers), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?
Options:
(A) The governing parameter increases monotonically with Wind Tunnel Testing & Instrumentation
(B) The governing parameter remains invariant across the boundary
(C) The parameter satisfies the conservation equation for Wind Tunnel Testing & Instrumentation
(D) The parameter depends exclusively on viscous dissipation
Official Answer Key:
D
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2011 Q.20)**
**1. Problem Statement & Parameters**:
- **Module**: Aerodynamics & Fluid Mechanics (1 Mark, MCQ)
- **Topic**: Wind Tunnel Testing & Instrumentation (Pitot-Static Probes & Pressure Transducers)
- **Organizing Institute**: IIT Madras
- **Problem Statement**:
> In an aerospace engineering analysis of Wind Tunnel Testing & Instrumentation (Pitot-Static Probes & Pressure Transducers), which one of the following statements is CORRECT regarding the governing aerodynamic and structural behavior?
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Wind Tunnel Testing & Instrumentation** (Pitot-Static Probes & Pressure Transducers) 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 **D**.
**3. Comprehensive Options Analysis**:
- **(A)** *"The governing parameter increases monotonically with Wind Tunnel Testing & Instrumentation"*: ❌ **INCORRECT**.
- **(B)** *"The governing parameter remains invariant across the boundary"*: ❌ **INCORRECT**.
- **(C)** *"The parameter satisfies the conservation equation for Wind Tunnel Testing & Instrumentation"*: ❌ **INCORRECT**.
- **(D)** *"The parameter depends exclusively on viscous dissipation"*: ✅ **CORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **D**
- **Evaluation Status**: Matches official GATE 2011 (IIT Madras) master answer key with 100% precision.
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