Post Utme Wellspring University 2025 Physics Question 6

Practice objective / multiple choice question 6 from the 2025 Post Utme Wellspring University Physics examination.

Post Utme Wellspring University 2025 Physics Objective / Multiple Choice
Question 6 POST_UTME_WELLSPRING_UNIVERSITY • 2025 • 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 in the ground state?

Answer Options

A. 0
Correct Answer B. \frac{\pi^2 \hbar^2}{2mL^2}
C. \frac{\pi^2 \hbar^2}{mL^2}
D. \frac{\pi^2 \hbar^2}{4mL^2}
Correct Answer
B
Correct Option:
\frac{\pi^2 \hbar^2}{2mL^2}

About This Question

This is Post Utme Wellspring University 2025 Physics Question 6. It is one of the objective questions from the 2025 Post Utme Wellspring University Physics examination.

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