GATE PH 2023 • Q30 MCQ • 1 Mark

Section 9: Nuclear and Particle Physics

Nuclear & Particle Physics

Subtopic: Nuclear Models, Radioactivity & Elementary Particles

Question Statement:

The Geiger-Muller counter is a device to detect 𝛼, 𝛽 and 𝛾 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:

B

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2023 Q.30)** **1. Theoretical Formulation & Physics Principles**: This question examines concepts in **Nuclear & Particle Physics** within *Section 9: Nuclear and Particle Physics* (1 Mark, MCQ). **2. Analytical Derivation & Formalism**: - Formulating the fundamental physics relations governing Nuclear & Particle Physics: - 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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