In a normal Zeeman effect experiment, spectral splitting of the line at the wavelength 643.8 nm
corresponding to the transition ଶ
ଵ
ଵ of cadmium atoms is to be observed. The
spectrometer has a resolution of 0.01 nm. The minimum magnetic field needed to observe this is
(݃݇ ,ܥ ,ݏ/݉ )
A) 0.26 T (B) 0.52 T (C) 2.6 T (D) 5.2 T
Official Answer Key:
2.5
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2013 Q.36)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Electromagnetic Theory** within *Section 3: Electromagnetic Theory* (2 Marks, NAT).
**2. Quantitative Numerical Calculation**:
- Identifying known experimental values and physical constants for Electromagnetic Theory.
- 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**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.