An ideal two-stage rocket has identical specific impulse and structural coefficient
for its two stages. For an optimized rocket, the two stages have identical payload
ratio as well. The payload is 2 tons and the initial mass of the rocket is 200 tons.
The mass of the second stage of the rocket (including the final payload mass) is
____ tons.
Options:
(A) 100
(B) 10
(C) 20
(D) 50
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.32)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Air-Breathing & Rocket Propulsion** under *Propulsion* (1 Mark, 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)**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.