Post Utme Afe Babalola University 2017 Physics Question 10

Practice objective / multiple choice question 10 from the 2017 Post Utme Afe Babalola University Physics examination.

Post Utme Afe Babalola University 2017 Physics Objective / Multiple Choice
Question 10 POST_UTME_AFE_BABALOLA_UNIVERSITY • 2017 • PHYSICS • objective

A particle of mass $m$ is in a one-dimensional box of length $L$. If the particle's wave function is given by $\psi(x) = A\sin\left\( \frac{n\pi x}{L}\right \)$, what is the particle's energy $E_n$?

Answer Options

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

About This Question

This is Post Utme Afe Babalola University 2017 Physics Question 10. It is one of the objective questions from the 2017 Post Utme Afe Babalola University Physics examination.

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