GATE PH 2014 • Q28 NAT • 1 Mark

Section 6: Atomic and Molecular Physics

Atomic & Molecular Physics

Subtopic: Atomic Spectra, Molecular Spectroscopy & Lasers

Question Statement:

For Nickel , the number density is 8 × 1023 aaaaaammss/ccmm3 and electronic configuration is 1s22s22p63s23p63d84s2. T he value of the saturation magnetization of Nickel in its ferromagnetic state is _________________× 109 AA/mm. (Given the value of Bohr magneton µBB = 9.21 × 10-21 AAmm2)

Official Answer Key:

2.5

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2014 Q.28)** **1. Theoretical Formulation & Physics Principles**: This question examines concepts in **Atomic & Molecular Physics** within *Section 6: Atomic and Molecular Physics* (1 Mark, NAT). **2. Quantitative Numerical Calculation**: - Identifying known experimental values and physical constants for Atomic & Molecular 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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