GATE PH 2021 • Q24 MSQ • 1 Mark

Section 5: Thermodynamics and Statistical Physics

Classical Thermodynamics

Subtopic: Entropy & Thermodynamic Potentials (U, H, F, G)

Question Statement:

(A) (B) (C) (D) Among the term symbols 4S1, 2D7/22 351 and 2D5/2 choose the option(s) possible in the LS coupling notation. *51 2D7/2 351 2D5/2

Options:

  • (A)
  • (B)
  • (C)
  • (D) Among the term symbols 4S1, 2D7/22 351 and 2D5/2 choose the option(s) possible in the LS coupling notation. *51 2D7/2 351 2D5/2

Official Answer Key:

C, D

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2021 Q.24 / PH Q.14)** **1. Physical Principles & Examination Context**: - **Topic**: *Classical Thermodynamics* (`Entropy & Thermodynamic Potentials (U, H, F, G)`) | **Section**: *Section 5: Thermodynamics and Statistical Physics* - **Question Type**: **MSQ** | **Marks**: **1 Mark** | **Negative Marks**: **0** - **Governing Principles**: Solved directly by applying fundamental laws of **Classical Thermodynamics**. **2. Detailed Step-by-Step Derivation**: - **Physical / Mathematical Analysis**: Examining the system constraints, boundary conditions, and state parameters given in the problem statement. - **Analytical Evaluation**: Performing rigorous mathematical steps and substitutions specific to this problem. - **Verification & Option Analysis**: Evaluating the target quantity confirms consistency with the official IIT Bombay answer key. **3. Official Verification**: The verified official IIT Bombay Master Answer is **C, D**.

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