Print Page - GR9277.053

A particle of mass $m$ is confined to an infinitely deep square-welled potential:
$V(x) = \infty, x\leq 0, x \geq a$
$V(x) = 0, 0 < x <a$
The normalized eigenfunctions, labeled by the quantum number $n$ , are $\psi_n = \sqrt{\frac{2}{a}} \sin \frac{n \pi x}{a}$

53. A measurement of energy $E$ will always satisfy which of the following relationships?
(A) $E \leq \frac{\pi^2 \hbar^2}{8ma^2}$
(B) $E \geq \frac{\pi^2 \hbar^2}{2ma^2}$
(C) $E = \frac{\pi^2 \hbar^2}{8ma^2}$
(D) $E = \frac{n^2 \pi^2 \hbar^2}{8ma^2}$
(E) $E = \frac{\pi^2 \hbar^2}{2ma^2}$

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ฟิสิกส์โอลิมปิก วิทยาศาสตร์โอลิมปิก ข้อสอบแข่งขัน ข้อสอบชิงทุน => GRE - Physics => Topic started by: conantee on September 21, 2010, 12:51:20 PM