A supersonic aircraft has an air intake ramp that can be rotated about the leading
edge O such that the shock from the leading edge meets the cowl lip as shown in
the figure. Select all the correct statement(s) as per oblique shock theory when the
flight Mach number M is increased.
Options:
(A) It is always possible to find a ramp setting
RAMP such that the shock still meets
the cowl lip (
SHOCK remains the same).
(B) If
RAMP is held fixed, the shock angle
SHOCK will increase.
(C) If M exceeds a critical value, it would NOT be possible to find a ramp setting
RAMP
such that the shock still meets the cowl lip (
SHOCK remains the same).
(D) Shock angle
1 1sinSHOCK
M -
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2023 Q.37)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (2 Marks, MSQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Incompressible & Compressible Aerodynamics.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
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