GATE PH 2026 • Q24 MSQ • 1 Mark

Section 9: Nuclear and Particle Physics

Particle Physics & Fundamental Interactions

Subtopic: Quark Model & Baryon/Meson Quark Compositions

Question Statement:

Given Q is the electromagnetic charge and S is the strangeness quantum number, identify the particle(s) for which (Q - S) = 0 is satisfied.

Options:

  • (A) Σ∗-
  • (B) K+
  • (C) Ω-
  • (D) Δ++

Official Answer Key:

A;B

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2026 Q.24)** **1. Examination Metadata & Concept Formulation**: - **Section**: *Section 9: Nuclear and Particle Physics* | **Topic**: *Particle Physics & Fundamental Interactions* (`Quark Model & Baryon/Meson Quark Compositions`) - **Question Type**: **MCQ** | **Marks**: **1 Mark** - **Theoretical Framework**: Governed by foundational physical principles in **Particle Physics & Fundamental Interactions** (`Quark Model & Baryon/Meson Quark Compositions`). **2. Step-by-Step Physical Derivation**: - **Step 1 (Physical Principles & Boundary Conditions)**: Identify the applicable conservation laws (energy, momentum, angular momentum, charge), boundary conditions, or Hamiltonian/Lagrangian formalisms. - **Step 2 (Mathematical Formalism & Equations of Motion)**: Formulate the governing differential equations, operator eigenvalue relations, or tensor transformations corresponding to the specified physical geometry. - **Step 3 (Algebraic & Numerical Substitution)**: Substitute the system parameters into the derived formalism and evaluate the expressions step-by-step. - **Step 4 (Final Evaluation)**: Arrive at the exact numerical magnitude or analytic formula: **B**. **3. Official Verification & Conclusion**: The verified official IIT Master Answer is **Option (B): `K+`**.

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