mPEC Forum

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



Title: GR9277.053
Post by: conantee on September 21, 2010, 12:51:20 PM
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}