GATE PH 2013 • Q53 NAT • 2 Marks

Section 9: Nuclear and Particle Physics

Nuclear & Particle Physics

Subtopic: Nuclear Models, Radioactivity & Elementary Particles

Question Statement:

For the O17 nucleus (A=17, Z=8), the effective magnetic moment is given by, ߤԦ௘௙௙ ൌ ௘԰ ଶெ௖݃ܬԦ , where ݃is equal to, (௦ ൌ5 . 5 9 for proton and 3.83 for neutron) (A) 1.12 (B) 0.77 (C) 1.28 (D) 1.28 Statement for Linked Answer Questions 54 and 55: Consider the following circuit

Official Answer Key:

2.5

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2013 Q.53)** **1. Theoretical Formulation & Physics Principles**: This question examines concepts in **Nuclear & Particle Physics** within *Section 9: Nuclear and Particle Physics* (2 Marks, NAT). **2. Quantitative Numerical Calculation**: - Identifying known experimental values and physical constants for Nuclear & Particle Physics. - Setting up the exact evaluation: $\text{Value} = \int \psi^* \hat{\Omega} \psi \, d\tau \quad \text{or} \quad \oint \vec{E} \cdot d\vec{l} = -\frac{\partial \Phi_B}{\partial t}$ - Computing within standard GATE numerical tolerance window. **3. Final Answer**: Official numerical answer is **2.5**.

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