GATE AE 2025 • Q31 MCQ • 1 Mark

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

𝛿Q and 𝛿W are the heat and work interactions of a system with its surroundings, and dU is the change in the internal energy of the system. For an adiabatic process in a closed, constant pressure combustor, which one of the following options is correct?

Options:

  • (A) |𝛿Q| = |dU| ≠ 0 and |𝛿W| = 0
  • (B) |𝛿Q| = |𝛿W| = 0 and |dU| ≠ 0
  • (C) |𝛿Q| = |𝛿W| = |dU| = 0
  • (D) |𝛿W| = |dU| ≠ 0 and |𝛿Q| = 0

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.31)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Structural Mechanics** under *Aerospace Structures* (1 Mark, MCQ). **2. Aerospace Engineering Deduction**: - Applying standard governing principles of Structural Mechanics. - Option **(A)** matches the analytical derivation and official criteria. **3. Final Answer**: Correct Option is **(A)**.

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