GATE AE 2018 • Q14 MCQ • 1 Mark Aerodynamics & Fluid Mechanics

Aerodynamics & Fluid Mechanics

Compressible Flow & Shocks

Subtopic: 1D Isentropic Flow & Area-Mach Relations

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.

Official Answer Key:

C

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.
← Previous (Q13) All 2018 Questions Next (Q15) →

Related Compressible Flow & Shocks Solved Questions

View All Compressible Flow & Shocks PYQs →
GATE AE 2026 Q29 MSQ • 1M

Which of the following statements is/are TRUE regarding critical and drag divergence Mach numbers of a wing?

GATE AE 2026 Q30 MSQ • 1M

A flow is steady, inviscid and one-dimensional, with no shaft work or body forces. Which of the following is/are possible under the given conditions?

GATE AE 2026 Q44 MSQ • 2M

Which of the following process(es) is/are involved in the compression of air in an ideal ramjet engine?

GATE AE 2026 Q46 MSQ • 2M

The figure below shows the velocity triangles at the inlet and outlet of the rotor of a low hub-to-tip ratio axial compressor at the mid-span of the blade. The absolute and relative velocities of the flow are denoted by C and W, respectively. The subscripts 1 and 2 refer to the locations before and after the rotor, respectively. The blade velocity is denoted by U. Select the CORRECT statement(s) for this device.

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