Question Statement:
V-n diagram, what is the minimum speed at which it should be designed to withstand the maximum vertical load factor of 9?
Options:
-
(A) 20 m/s
-
(B) 60 m/s
-
(C) 120 m/s
-
(D) 180 m/s
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2008 Q.28)**
**1. Problem Statement & Parameters**:
- **Module**: Propulsion (1 Mark, MCQ)
- **Topic**: Inlets, Combustors & Nozzles (Subsonic & Supersonic Inlets)
- **Organizing Institute**: IISc Bengaluru
- **Problem Statement**:
> V-n diagram, what is the minimum speed at which it should be designed to withstand the maximum vertical load factor of 9?
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Inlets, Combustors & Nozzles** (Subsonic & Supersonic Inlets) 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 **A**.
**3. Comprehensive Options Analysis**:
- **(A)** *"20 m/s"*: ✅ **CORRECT**.
- **(B)** *"60 m/s"*: ❌ **INCORRECT**.
- **(C)** *"120 m/s"*: ❌ **INCORRECT**.
- **(D)** *"180 m/s"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **A**
- **Evaluation Status**: Matches official GATE 2008 (IISc Bengaluru) 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