A perfect gas stored in a large reservoir exhausts into the atmosphere through a
convergent duct. The reservoir pressure is P0 and temperature is T0. The jet emerges
from the nozzle at choked conditions with average velocity u, Mach number M,
pressure p, temperature T, and density
. If the reservoir pressure is increased,
then
Options:
(A) u, M, p, T, and
increase
(B) u, p, T, and
increase, but M remains the same
(C) u, M, and T remain the same, but p and
increase
(D) u, M, T and
remain the same, but p increases
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2023 Q.39)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (2 Marks, MCQ).
**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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