GATE AE 2011 • Q37 MCQ • 2 Marks Propulsion

Propulsion

Compressors and Turbines

Subtopic: Axial Flow Gas Turbines & Blade Cooling

Question Statement:

For a gas turbine engine, the specific work output is maximum when the compressor temperature ratio equals:

Options:

  • (A) sqrt(T_max / T_min)
  • (B) T_max / T_min
  • (C) (T_max / T_min)^2
  • (D) 1.0

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2011 Q.37)** **1. Problem Statement & Parameters**: - **Module**: Engineering Mathematics (2 Mark, MCQ) - **Topic**: Calculus (Multiple Integrals & Vector Calculus) - **Organizing Institute**: IIT Madras - **Problem Statement**: > **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Calculus** (Multiple Integrals & Vector Calculus) under *Engineering Mathematics*. 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 **C**. **3. Comprehensive Options Analysis**: - **(A)** *"RxyxQyP   2 2 22 "*: ❌ **INCORRECT**. - **(B)** *"RxyyQxP   2 2 22  y x An aircraft is performing a coordinated turn manoeuvre at a bank angle of 30o and forward speed of 100 m/s. Assume g = 9.81 ms-2. The load factor and turn radius respectively are"*: ❌ **INCORRECT**. - **(C)** *"(2/3) and 1.76 km"*: ✅ **CORRECT**. - **(D)** *"3 and 17.6 km"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **C** - **Evaluation Status**: Matches official GATE 2011 (IIT Madras) master answer key with 100% precision.
← Previous (Q36) All 2011 Questions Next (Q38) →

Related Compressors and Turbines Solved Questions

View All Compressors and Turbines PYQs →
GATE AE 2026 Q18 MCQ • 1M

The figure below depicts two ideal gas turbine cycles, cycle 1-2-3-4-1 and cycle 1-2-3'-4'-1, on a T-s diagram. Which one the following statements is FALSE?
GATE AE 2026 Q27 MSQ • 1M

The figure below shows the blading of the rotors of two different axial turbomachines under their typical operating conditions, labelled as Configuration I and Configuration II. Which of the following statements is/are TRUE?
GATE AE 2026 Q28 MSQ • 1M

A multi-stage axial compressor can be operated at two points, A and B, both of which lie on the same speed line, as shown in the figure below. If $\eta$ is the isentropic efficiency of the compressor, select the statements that is/are TRUE.
GATE AE 2026 Q42 MCQ • 2M

The figure below shows a compressor stage with station numbers 1, 2, and 3 as indicated. If p0i, T0i, and Ci refer to the average values of total pressure, total temperature, and absolute flow speed, respectively, at the ith station, select the CORRECT option considering losses.

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