GATE AE 2013 • Q56 MCQ • 2 Marks

Propulsion

Compressors and Turbines

Subtopic: Centrifugal Compressors

Question Statement:

If ൑ 5 and ൑1 1 then which of the following options is TRUE?

Options:

  • (A) ଷ ହ ൑ ௑ ௒ ൑ ଼ ହ
  • (B) ଷ ଵଵ ൑ ௑ ௒ ൑ ହ ଼
  • (C) ଷ ଵଵ ൑ ௑ ௒ ൑ ଼ ହ
  • (D) ଷ ହ ൑ ௑ ௒ ൑ ଼ ଵଵ

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2013 Q.56)** **1. Problem Statement & Parameters**: - **Module**: Propulsion (2 Mark, MCQ) - **Topic**: Compressors and Turbines (Centrifugal Compressors) - **Organizing Institute**: IIT Bombay - **Problem Statement**: > If ൑ 5 and ൑1 1 then which of the following options is TRUE? **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Compressors and Turbines** (Centrifugal Compressors) under *Propulsion*. 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 **B**. **3. Comprehensive Options Analysis**: - **(A)** *"ଷ ହ ൑ ௑ ௒ ൑ ଼ ହ"*: ❌ **INCORRECT**. - **(B)** *"ଷ ଵଵ ൑ ௑ ௒ ൑ ହ ଼"*: ✅ **CORRECT**. - **(C)** *"ଷ ଵଵ ൑ ௑ ௒ ൑ ଼ ହ"*: ❌ **INCORRECT**. - **(D)** *"ଷ ହ ൑ ௑ ௒ ൑ ଼ ଵଵ"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **B** - **Evaluation Status**: Matches official GATE 2013 (IIT Bombay) 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