作者hank0526 (captain america)
看板NTU-Exam
标题[试题] 100上 林万寅 普通化学甲上 第四次小考
时间Sat Nov 12 21:17:37 2011
课程名称︰普通化学甲上
课程性质︰必修
课程教师︰林万寅
开课学院：工学院
开课系所︰化学工程学系
考试日期（年月日）︰2011/11/09
考试时限（分钟）：约15分钟
是否需发放奖励金：是
（如未明确表示，则不予发放）
试题 :
1. The wave function for a particle of mass m confined in one dimensional box
of
length L is given by:Ψ(x)=√(2/L)×SIN(n pi x/L)
. Answer (B)-(G) for n = 4.
(A) Write the Schrödinger equation of the system within the box. 10%
(B) Sketch the probability density (y2) of finding the particle within the “
box” as a
function of x. 20%
(C) Give the positions of maximum probability. 20%
(D) Give the positions of nodes. 15%
(E) What is the probability of finding the particle within L/2 ￡ x ￡ 7L/8?
10%
(F) Write an expression for calculating the average position of the particle.
15%
(G) What is the average position of the particle? 10%
(Hint: answer (D) and (G) by inspection of the plot in (B) without
calculations)
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