Post Utme Uniport 2024 Physics Question 13

Practice objective / multiple choice question 13 from the 2024 Post Utme Uniport Physics examination.

Post Utme Uniport 2024 Physics Objective / Multiple Choice
Question 13 POST_UTME_UNIPORT • 2024 • PHYSICS • objective

A gas of non-interacting particles is in thermal equilibrium with a heat reservoir at temperature $T$. The particles have an energy spectrum given by \( epsilon_n = n^2 hbar omega \). What is the average energy of the particles in the gas?

Answer Options

Correct Answer A. \frac{pi^2}{15} hbar omega \( k_B T \)^2
B. \frac{1}{2} k_B T
C. \frac{3}{2} k_B T
D. \frac{5}{2} k_B T
Correct Answer
A
Correct Option:
\frac{pi^2}{15} hbar omega \( k_B T \)^2

About This Question

This is Post Utme Uniport 2024 Physics Question 13. It is one of the objective questions from the 2024 Post Utme Uniport Physics examination.

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