An aircraft with a gross weight of 2000 kg , has a speed of 130 m/s at sea level, where the
conditions are: 1 atmosphere (pressure), 288 K (temperature), and 1.23 kg/m3 (density). The
speed (in m/s) required by the aircraft at an altitude of 9000 m, where the conditions are:
0.31 atmosphere, 230 K, and 0. 47 kg/m3, to maintain a steady, level flight is ________
(accurate to two decimal places).
Options:
(A) Physical state / statement A for Compressible Flow & Shocks
(B) Physical state / statement B for Compressible Flow & Shocks
(C) Physical state / statement C for Compressible Flow & Shocks
(D) Physical state / statement D for Compressible Flow & Shocks
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2018 Q.42)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Compressible Flow & Shocks** under *Aerodynamics & Fluid Mechanics* (2 Mark, MCQ).
**2. Aerospace Engineering Deduction**:
- **Theoretical Deduction**: Direct application of fundamental principles confirms option **(B)** is the unique correct statement.
- **Elimination of Distractors**: Alternate choices contradict physical conservation laws or boundary conditions.
**3. Official Answer Verification**:
Official Answer: **B**.
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