Post Utme Bowen University 2023 Physics Question 31

Practice objective / multiple choice question 31 from the 2023 Post Utme Bowen University Physics examination.

Post Utme Bowen University 2023 Physics Objective / Multiple Choice
Question 31 POST_UTME_BOWEN_UNIVERSITY • 2023 • PHYSICS • objective

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground-state wave function of the particle is given by $psi_0(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)$. What is the expectation value of the potential energy of the particle?

Answer Options

A. 0
Correct Answer B. \frac{\pi^2 \hbar^2}{2mL^2}
C. \frac{\pi^2 \hbar^2}{mL^2}
D. \frac{2\pi^2 \hbar^2}{mL^2}
Correct Answer
B
Correct Option:
\frac{\pi^2 \hbar^2}{2mL^2}

About This Question

This is Post Utme Bowen University 2023 Physics Question 31. It is one of the objective questions from the 2023 Post Utme Bowen University Physics examination.

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