Post Utme Oau 2020 Physics Question 11

Practice objective / multiple choice question 11 from the 2020 Post Utme Oau Physics examination.

Post Utme Oau 2020 Physics Objective / Multiple Choice
Question 11 POST_UTME_OAU • 2020 • 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

Correct Answer A. \( \frac{1}{2}mleft\( \frac{h}{2pi}\right \ \)^2 \frac{pi^2}{L^2})
B. \( \frac{1}{2}mleft\( \frac{h}{2pi}\right \ \)^2 \frac{2pi^2}{L^2})
C. \( \frac{1}{2}mleft\( \frac{h}{2pi}\right \ \)^2 \frac{4pi^2}{L^2})
D. \( \frac{1}{2}mleft\( \frac{h}{2pi}\right \ \)^2 \frac{8pi^2}{L^2})
Correct Answer
A
Correct Option:
\( \frac{1}{2}mleft\( \frac{h}{2pi}\right \ \)^2 \frac{pi^2}{L^2})

About This Question

This is Post Utme Oau 2020 Physics Question 11. It is one of the objective questions from the 2020 Post Utme Oau Physics examination.

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