GATE AE 2023 • Q35 NAT • 1 Mark

Propulsion

Air-Breathing & Rocket Propulsion

Subtopic: Engine Thermodynamic Cycles

Question Statement:

A supersonic vehicle powered by a ramjet engine is cruising at a speed of 1000 m/s. The ramjet engine burns hydrogen in a subsonic combustor to produce thrust. The heat of combustion for hydrogen is 120 MJ/kg. The overall efficiency of the engine o , defined as the ratio of propulsive power to the total heat release in the combustor, is 40%. Taking acceleration due to gravity 0 10g = m/s2, the specific impulse of the engine is _____________ seconds. (round off to the nearest integer).

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2023 Q.35)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Air-Breathing & Rocket Propulsion** under *Propulsion* (1 Mark, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Air-Breathing & Rocket Propulsion equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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