An aircraft is cruising with a forward speed
aV and the jet exhaust speed relative
to the engine at the exit is
jV . If
2,ajVV = what is the propulsive efficiency?
Options:
(A) 0.50
(B) 1.00
(C) 0.33
(D) 0.67
Official Answer Key:
D
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2023 Q.22)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Atmospheric Flight Mechanics** under *Flight Mechanics & Space Dynamics* (1 Mark, MCQ).
**2. Aerospace Engineering Deduction**:
- **Theoretical Deduction**: Direct application of fundamental principles confirms option **(D)** is the unique correct statement.
- **Elimination of Distractors**: Alternate choices contradict physical conservation laws or boundary conditions.
**3. Official Answer Verification**:
Official Answer: **D**.
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