GATE AE 2012 • Q42 NAT • 2 Marks

Propulsion

Air-Breathing & Rocket Propulsion

Subtopic: Engine Thermodynamic Cycles

Question Statement:

A bipropellant liquid rocket motor operates at a ch amber pressure of 40 bar with a nozzle throat diameter of 50 mm. The characteristic velocity is 1540 m/s. If the fuel-oxidizer ratio of the propellant is 1.8, and the fuel density is 900 kg/m 3, what should be the minimum fuel tank volume for a burn time of 8 minutes (A) 1.65 m3 (B) 1.75 m 3 (C) 1.85 m 3 (D) 1.95 m 3

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2012 Q.42)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Air-Breathing & Rocket Propulsion** under *Propulsion* (2 Marks, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Air-Breathing & Rocket Propulsion equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

Practice This in Real CBT Exam Interface

Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.

Launch CBT Mock Test