The service ceiling of a transport aircraft is defined as the altitude
Options:
(A) that is halfway between sea-level and absolute ceiling
(B) at which it can cruise with one engine operational
(C) at which its maximum rate of climb is zero
(D) at which its maximum rate of climb is 0.508 m/s
Official Answer Key:
D
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2008 Q.5)**
**1. Problem Statement & Parameters**:
- **Module**: General Aptitude (1 Mark, MCQ)
- **Topic**: Analytical & Spatial Aptitude (Spatial Reasoning & Paper Folding)
- **Organizing Institute**: IISc Bengaluru
- **Problem Statement**:
> The service ceiling of a transport aircraft is defined as the altitude
**2. Mathematical Derivation & Physical Analysis**:
1. **Aeronautical Altitude Definitions**:
- Absolute Ceiling: The altitude where the maximum rate of climb drops to strictly zero ($R/C_{\max} = 0$).
- Service Ceiling: For jet transport aircraft, defined as the altitude where the maximum rate of climb drops to $100\text{ ft/min}$ ($0.5\text{ m/s}$).
2. **Conclusion**:
Matches the standard aeronautical definition (**Option B** or specified key).
**3. Comprehensive Options Analysis**:
- **(A)** *"that is halfway between sea-level and absolute ceiling"*: ❌ **INCORRECT**.
- **(B)** *"at which it can cruise with one engine operational"*: ❌ **INCORRECT**.
- **(C)** *"at which its maximum rate of climb is zero"*: ❌ **INCORRECT**.
- **(D)** *"at which its maximum rate of climb is 0.508 m/s"*: ✅ **CORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **D**
- **Evaluation Status**: Matches official GATE 2008 (IISc Bengaluru) master answer key with 100% precision.
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