GATE PH 2018 • Q3 NAT • 1 Mark

General Aptitude

Quantitative & Analytical Aptitude

Subtopic: Analytical Reasoning

Question Statement:

Given the following table, Group I Group II P: Stern-Gerlach experiment 1: Wave nature of particles Q: Zeeman effect 2: Quantization of energy of electrons in the atoms R: Frank-Hertz experiment 3: Existence of electron spin S: Davisson-Germer experiment 4: Space quantization of angular momentum which one of the following correctly matches the experiments from Group I to their inferences in Group II? (A) P-2, Q-3, R-4, S-1 (B) P-1, Q-3, R-2, S-4 (C) P-3, Q-4, R-2, S-1 (D) P-2, Q-1, R-4, S-3

Official Answer Key:

2.5

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2018 Q.3)** **1. Theoretical Formulation & Physics Principles**: This question examines concepts in **Quantitative & Analytical Aptitude** within *General Aptitude* (1 Mark, NAT). **2. Quantitative Numerical Calculation**: - Identifying known experimental values and physical constants for Quantitative & Analytical Aptitude. - 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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