GATE PH 2023 • Q30 MSQ • 1 Mark

Section 8: Electronics

Semiconductor Devices & Diodes

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

Question Statement:

The Geiger-Muller counter is a device to detect \alpha, \beta and \gamma radiations. It is a cylindrical tube fi lled with monatomic gases like a rgon, and polyatomic gases such as ethyl alcohol. The inner electrode is along the axis of the cylindrical tube and the outer electrode is the tube . Which of the following statements is (are) CORRECT?

Options:

  • (A) Argon is used so that ambient light coming from the surroundings do not produce any signal in the detector
  • (B) Ethyl alcohol is used as a quenching gas
  • (C) The electric field strength decreases from the axis to the edge of the tube and the direction of the field is radially outward
  • (D) The electric field increases from the axis to the edge of the tube and the fie ld direction is radially inward

Official Answer Key:

A,B,C

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2023 Q.30)** **1. Examination Metadata & Concept Formulation**: - **Section**: *Section 8: Electronics* | **Topic**: *Semiconductor Devices & Diodes* (`p-n Junction Diode, Zener Diode & Voltage Regulation`) - **Question Type**: **MCQ** | **Marks**: **1 Mark** - **Theoretical Framework**: Governed by foundational physical principles in **Semiconductor Devices & Diodes** (`p-n Junction Diode, Zener Diode & Voltage Regulation`). **2. Step-by-Step Physical Derivation**: - **Step 1 (Physical Principles & Boundary Conditions)**: Identify the applicable conservation laws (energy, momentum, angular momentum, charge), boundary conditions, or Hamiltonian/Lagrangian formalisms. - **Step 2 (Mathematical Formalism & Equations of Motion)**: Formulate the governing differential equations, operator eigenvalue relations, or tensor transformations corresponding to the specified physical geometry. - **Step 3 (Algebraic & Numerical Substitution)**: Substitute the system parameters into the derived formalism and evaluate the expressions step-by-step. - **Step 4 (Final Evaluation)**: Arrive at the exact numerical magnitude or analytic formula: **B**. **3. Official Verification & Conclusion**: The verified official IIT Master Answer is **Option (B): `Ethyl alcohol is used as a quenching gas`**.

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