A particle of mass $m$ is in a one-dimensional potential energy function $U(x) = \frac{1}{2}kx^2$. Assuming the particle is in a state of definite energy $E$, find the expectation value of the position $\langle x \rangle$ in terms of $k$, $E$, and $m$.

Question

Accepted Answer

\langle x \rangle = \frac{E}{k}

Post Utme Osustech 2023 Physics Question 15

A particle of mass $m$ is in a one-dimensional potential energy function $U(x) = \frac{1}{2}kx^2$. Assuming the particle is in a state of definite energy $E$, find the expectation value of the position $\langle x \rangle$ in terms of $k$, $E$, and $m$.

Answer Options

About This Question

Master the Exam!