Question Statement:
A thermocouple, mounted flush in an insulated flat surface in a supersonic laminar flow of
air measures the
Options:
-
(A) static temperature.
-
(B) temperature greater than static but less than total temperature.
-
(C) total temperature.
-
(D) temperature greater than total temperature.
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2018 Q.14)**
**1. Problem Statement & Parameters**:
- **Module**: Engineering Mathematics (1 Mark, MCQ)
- **Topic**: Differential Equations (First Order ODEs)
- **Organizing Institute**: IIT Guwahati
- **Problem Statement**:
> A thermocouple, mounted flush in an insulated flat surface in a supersonic laminar flow of air measures the
**2. Mathematical Derivation & Physical Analysis**:
1. **Fundamental Physical Formulation**:
Governed by principles of **Differential Equations** 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 **C**.
**3. Comprehensive Options Analysis**:
- **(A)** *"static temperature."*: ❌ **INCORRECT**.
- **(B)** *"temperature greater than static but less than total temperature."*: ❌ **INCORRECT**.
- **(C)** *"total temperature."*: ✅ **CORRECT**.
- **(D)** *"temperature greater than total temperature."*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **C**
- **Evaluation Status**: Matches official GATE 2018 (IIT Guwahati) master answer key with 100% precision.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.
Launch CBT Mock Test