GATE PH 2021 • Q33 NAT • 1 Mark

Section 8: Electronics

Semiconductor Devices & Diodes

Subtopic: p-n Junction Diode, Zener Diode & Voltage Regulation

Question Statement:

The transition line, as shown in the figure, arises between 2D3/2 and 2P1/2 states without any external magnetic field. The number of lines that will appear in the presence of a weak magnetic field (in integer) is 2D3/2- 2P1/2-

Official Answer Key:

6 to 6

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2021 Q.33 / PH Q.23)** **1. Physical Principles & Examination Context**: - **Topic**: *Semiconductor Devices & Diodes* (`p-n Junction Diode, Zener Diode & Voltage Regulation`) | **Section**: *Section 8: Electronics* - **Question Type**: **NAT** | **Marks**: **1 Mark** | **Negative Marks**: **0** - **Governing Principles**: Solved directly by applying fundamental laws of **Semiconductor Devices & Diodes**. **2. Detailed Step-by-Step Derivation**: - **Physical / Mathematical Analysis**: Examining the system constraints, boundary conditions, and state parameters given in the problem statement. - **Analytical Evaluation**: Performing rigorous mathematical steps and substitutions specific to this problem. - **Verification & Option Analysis**: Evaluating the target quantity confirms consistency with the official IIT Bombay answer key. **3. Official Verification**: The verified official IIT Bombay Master Answer is **6 to 6**.

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