Post Utme Ui 2023 Physics Question 24

Practice objective / multiple choice question 24 from the 2023 Post Utme Ui Physics examination.

Post Utme Ui 2023 Physics Objective / Multiple Choice

Question 24 POST_UTME_UI • 2023 • PHYSICS • objective

A quantum particle has a wave function given by \psi(x) = Ae^{-\alpha x^2}. If the particle is in a box of length 1 m, what is the probability of finding the particle in the region 0.5 m < x < 0.6 m?

Correct Answer A. \frac{A^2}{2\alpha} \( e^{-\alpha \( 0.5 \ \)^2} - e^{-\alpha (0.6)^2})

B. \frac{A^2}{2\alpha} \( e^{-\alpha \( 0.6 \ \)^2} - e^{-\alpha (0.5)^2})

C. \frac{A^2}{2\alpha} \( e^{-\alpha \( 0.5 \ \)^2} + e^{-\alpha (0.6)^2})

D. \frac{A^2}{2\alpha} \( e^{-\alpha \( 0.6 \ \)^2} + e^{-\alpha (0.5)^2})

Correct Answer

Correct Option:

\frac{A^2}{2\alpha} \( e^{-\alpha \( 0.5 \ \)^2} - e^{-\alpha (0.6)^2})

This is Post Utme Ui 2023 Physics Question 24. It is one of the objective questions from the 2023 Post Utme Ui Physics examination.

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