Consider two rockets P and Q fired vertically up wi th identical specific impulse and a payload of
2 kg. Rocket P has 2 identical stages, and each stage has 200 kg of propellant and 20 kg of
structural weight. Rocket Q has a single stage with 400 kg of propellant and 40 kg of structural
weight. Neglecting drag and gravity effects, the ratio of the change in velocity of P to that attained
by Q is
(A) 1.13 (B) 1.23 (C ) 1.33 (D) 1.43
Common Data Questions
Common Data for Questions 48 and 49: Data for an airplane are given as follows: weight 30Wk N ,
thrust available at sea-level 0 4000TN , wing planform area 230Sm , maximum lift coefficient
max 1.4LC , and drag coefficient 20.015 0.024 .D LCC Assume air density at sea-level 31.22 /kg m .
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2013 Q.47)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (2 Marks, NAT).
**2. Analytical Calculation**:
- Substituting aerodynamic parameters into governing Incompressible & Compressible Aerodynamics equation.
**3. Final Answer**:
Acceptable official numerical value is **0.0**.
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