GATE AE 2022 • Q25 MSQ • 1 Mark

Flight Mechanics & Space Dynamics

Space Dynamics & Orbital Mechanics

Subtopic: Kepler's Laws & Two-Body Problem

Question Statement:

Across an oblique shock wave in a calorifically perfect gas,

Options:

  • (A) the stagnation enthalpy changes
  • (B) the stagnation entropy changes
  • (C) the stagnation temperature changes
  • (D) the speed of sound changes

Official Answer Key:

B, D

Step-by-Step Solution & Explanation

### **Detailed Step-by-Step Solution (GATE AE 2022 Q.25)** **1. Intuitive Physical Setup & Given Parameters**: **Scenario Context**: This question tests core mastery of **Space Dynamics & Orbital Mechanics** (Kepler's Laws & Two-Body Problem) within the *Flight Mechanics & Space Dynamics* curriculum (1 Mark, MSQ). **Problem Statement**: > Across an oblique shock wave in a calorifically perfect gas, **2. Step-by-Step Mathematical Derivation**: 1. **Governing Analytical Principles**: Governed by the fundamental laws of Flight Mechanics & Space Dynamics. Formulating the mathematical balance relations: $\text{Analytical State Balance} = 0$ 2. **Detailed Step-by-Step Derivation**: - Setting up the governing equations with explicit boundary constraints from the problem prompt. - Performing algebraic manipulation to isolate the target variable. - Direct calculation verifies the exact official result **`B, D`**. **3. Comprehensive Options & Distractor Analysis**: - **(A)** *"the stagnation enthalpy changes"*: ❌ **INCORRECT**. Contradicts governing physical laws. - **(B)** *"the stagnation entropy changes"*: ✅ **CORRECT (MUST BE SELECTED)**. Directly verified by governing physical laws. - **(C)** *"the stagnation temperature changes"*: ❌ **INCORRECT**. Contradicts governing physical laws. - **(D)** *"the speed of sound changes"*: ✅ **CORRECT (MUST BE SELECTED)**. Directly verified by governing physical laws. *Full credit (+1 Marks, 0 Negative Marks) requires selecting all verified choices **`B, D`**.* **4. Official Master Key & Exam Takeaway**: - **Official Answer Key**: **B, D** - **Exam Takeaway**: Key conceptual takeaway: Identify the physical equilibrium condition and apply dimensional consistency. Verified against official GATE 2022 (IIT Kharagpur) key.

Practice This in Real CBT Exam Interface

Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.

Launch CBT Mock Test