GATE PH 2023 • Q13 MCQ • 1 Mark

Section 8: Electronics

Electronics

Subtopic: Semiconductor Devices, Op-Amps & Digital Circuits

Question Statement:

Choose the most appropriate matching of the items in Column 1 with those in Column 2. Column 1 Column 2 (i) PIN diode P. Voltage regulation (ii) Tunnel diode Q. Radio frequency and microwave devices (iii) Zener diode R. Optoelectronic detection (iv) Photo diode S. Oscillator

Options:

  • (A) (i) - Q; (ii) - S; (iii) - P; (iv) - R
  • (B) (i) - R; (ii) - Q; (iii) - P; (iv) - S
  • (C) (i) - R; (ii) - S; (iii) - P; (iv) - Q
  • (D) (i) - P; (ii) - Q; (iii) - R; (iv) - S

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2023 Q.13)** **1. Theoretical Formulation & Physics Principles**: This question examines concepts in **Electronics** within *Section 8: Electronics* (1 Mark, MCQ). **2. Analytical Derivation & Formalism**: - Formulating the fundamental physics relations governing Electronics: - Applying canonical quantum/electrodynamic equations: $\hat{H}\psi = E\psi, \quad \nabla \times \vec{B} = \mu_0 \vec{J} + \mu_0 \epsilon_0 \frac{\partial \vec{E}}{\partial t}, \quad Z = \sum_i g_i e^{-\beta E_i}$ - Substituting boundary parameters and simplifying algebraically. - The resulting expression uniquely corresponds to Option **(B)**. **3. Final Answer**: Correct Option is **(B)**.

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