GATE PH 2014 • Q45 NAT • 2 Marks

Section 6: Atomic and Molecular Physics

Atomic & Molecular Physics

Subtopic: Atomic Spectra, Molecular Spectroscopy & Lasers

Question Statement:

The intensity of a laser in free space is 150 mW/m2. The corresponding amplitude of t he electric field of the laser is ____________ V/m. (𝜀𝜀0 = 8.854 × 10-12 CC2/NN. mm2)

Official Answer Key:

2.5

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2014 Q.45)** **1. Theoretical Formulation & Physics Principles**: This question examines concepts in **Atomic & Molecular Physics** within *Section 6: Atomic and Molecular Physics* (2 Marks, 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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