The theoretical maximum velocity (in m/s) of air expanding from a reservoir at 700 K is
__________ (accurate to two decimal places). Specific heat of air at constant pressure is
1005 J/(kg-K).
Options:
(A) Physical state / statement A for Atmospheric Flight Mechanics
(B) Physical state / statement B for Atmospheric Flight Mechanics
(C) Physical state / statement C for Atmospheric Flight Mechanics
(D) Physical state / statement D for Atmospheric Flight Mechanics
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2018 Q.21)**
**1. Problem Statement & Parameters**:
- **Module**: Flight Mechanics & Space Dynamics (1 Mark, MCQ)
- **Topic**: Atmospheric Flight Mechanics (Standard Atmosphere Properties)
- **Organizing Institute**: IIT Guwahati
- **Problem Statement**:
> The theoretical maximum velocity (in m/s) of air expanding from a reservoir at 700 K is __________ (accurate to two decimal places). Specific heat of air at constant pressure is 1005 J/(kg-K).
**2. Mathematical Derivation & Physical Analysis**:
1. **Fundamental Physical Formulation**:
Governed by principles of **Atmospheric Flight Mechanics** within *Flight Mechanics & Space Dynamics*. 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 **B**.
**3. Comprehensive Options Analysis**:
- **(A)** *"Physical state / statement A for Atmospheric Flight Mechanics"*: ❌ **INCORRECT**.
- **(B)** *"Physical state / statement B for Atmospheric Flight Mechanics"*: ✅ **CORRECT**.
- **(C)** *"Physical state / statement C for Atmospheric Flight Mechanics"*: ❌ **INCORRECT**.
- **(D)** *"Physical state / statement D for Atmospheric Flight Mechanics"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **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.