An aircraft with a turbojet engine is flying at 250 m/s. The uninstalled thrust
produced by the engine is 60000 N. The heating value of the fuel is 44 × 10 6 J/kg.
The engine has a thermal efficiency of 35% while burning the fuel at a rate of
3 kg/s. Assume the engine exit pressure to be equal to the ambient pressure. What
is the propulsion efficiency of the engine under these conditions (in percentage)?
Options:
(A) 32.5
(B) 35.0
(C) 11.4
(D) 92.4
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2024 Q.41)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Air-Breathing & Rocket Propulsion** under *Propulsion* (2 Marks, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Air-Breathing & Rocket Propulsion.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
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