课程名称︰普通物理甲下 课程性质︰必修 课程教师︰林敏聪 开课学院：理学院 开课系所︰物理系 考试日期（年月日）︰2008.04.17 考试时限（分钟）：4小时左右吧 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : 1.Please give an "intuitive" explanation for the formation of the energy band in the electronic structure of the solid state.(5%) 2.Please describe and explain the three different conduction behavior in conductor, insulator, and semiconductor by using the concept of the energy band.(9%) How is the temperature dependence of the conductivity for each type ？(6%) Why？(5%) 3.Consider an electri dipole, with moment p along positive z direction, at the origin. What is the electric field at (0, 0, z), and (x, 0, 0)？ Please specify both the magnitude and direction.(10%) 4.Dipole layer can be used to modify the work function of a metal surface. Consider a metallic sphere of radius R, coated with one molecular layer such that electrons are transferred from metal to molecules a little bit. Assume the total charge transferred is Q and the effective separation between the bi-layer is d, how much will the work function of the metal surface be modified？(15%) 5.Consider an irregular metal surface. Please explain why the surface with smaller radius of curvature has larger electric field nearby.(10%) 6.A particle of rest mass m0 approaches head-on another particle of mass m0, each moving with velocity 3c/4. Calculate (a) the relativistic velocity, (b) the relativistic mass of each particle with respect to each other.(20%) 7.Show that the relativistic momentum of a particle may be written as p= [(2E0K+K^2)^1/2]/c. What is the value of p for (a) β→0, (b) β→1？(20%) 8. Good luck!!!!(Total 100%) -- 结果固然重要 但过程往往比结果更重要 --

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