GATE PH 2018 • Q15
NAT • 1 Mark
Section 6: Atomic and Molecular Physics
Atomic & Molecular Physics
Subtopic: Atomic Spectra, Molecular Spectroscopy & Lasers
Question Statement:
The intrinsic/permanent electric dipole moment in the ground state of hydrogen atom is
(a0 is the Bohr radius)
(A) -3ea0 (B) zero (C) ea0 (D) 3ea0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2018 Q.15)**
**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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