Post Utme Lead City University 2020 Physics Question 10

Practice objective / multiple choice question 10 from the 2020 Post Utme Lead City University Physics examination.

Post Utme Lead City University 2020 Physics Objective / Multiple Choice
Question 10 POST_UTME_LEAD_CITY_UNIVERSITY • 2020 • PHYSICS • objective

A wave function $\psi(x)$ is given by $\psi(x) = Ae^{-\frac{x^2}{2a^2}}$. Calculate the expectation value of the position operator $\hat{x}$.

Answer Options

Correct Answer A. \frac{1}{\sqrt{2a^2}} \int_{-\infty}^{\infty} x Ae^{-\frac{x^2}{2a^2}} dx
B. \frac{1}{\sqrt{2a^2}} \int_{-\infty}^{\infty} x^2 Ae^{-\frac{x^2}{2a^2}} dx
C. \frac{1}{\sqrt{2a^2}} \int_{-\infty}^{\infty} x^3 Ae^{-\frac{x^2}{2a^2}} dx
D. \frac{1}{\sqrt{2a^2}} \int_{-\infty}^{\infty} x^4 Ae^{-\frac{x^2}{2a^2}} dx
Correct Answer
A
Correct Option:
\frac{1}{\sqrt{2a^2}} \int_{-\infty}^{\infty} x Ae^{-\frac{x^2}{2a^2}} dx

About This Question

This is Post Utme Lead City University 2020 Physics Question 10. It is one of the objective questions from the 2020 Post Utme Lead City University Physics examination.

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