课程名称︰普通物理学甲(下) 课程性质︰大一共同必修 课程教师︰高涌泉 开课学院：理学院 开课系所︰物理系 考试日期（年月日）︰98/06/24 考试时限（分钟）：120分钟 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : (15%)1.Show that the energy contained in an electromagnetic wave is shared equally between the magnetic field and the electric field. (15%)2.Derive the expression for the intensity I(θ) of the single-slit diffraction pattern as a function of the angle θ, the slit width a, wave length λ, and the greatest value of I(θ) is Imax.(Figure 1) ∣ ｜ ｜ ╱｜ ｜ ╱ ｜ _｜ ╱ ｜ ╱ ｜ a ╱θ ｜ I(θ) _ ￣￣￣￣￣｜ ｜→ D ←｜ D >> a ｜ ｜ ｜ ｜ ｜ ｜ Figure 1 (10%)3.An electron is trapped in a one-dimensional infinite potential well of width L. What is the energy difference ΔE between its quantum levels n and n+2 ? (15%)4.How did Stern and Gerlash find that the magnetic moment of silver atoms is quantized ? (10%)5.An electron in Hydrogen atom is in a state with n=3. What are (a)the number of possible values of l ? (b)the number of possible values of ml ? (c)the number of possible values of ms ? (d)the number of states in the n=3 shell ? (10%)6.Seven electrons are trapped in a one-dimensional infinite potential well of width L. What multiple of h^2/8mL^2 gives the energy of the ground state of this system? Assume that the electrons do not interact with one another, and do not neglect spin. (25%)7.Explain (a)Brewster angle. (b)Poynting vector. (c)Fermi energy. (d)Baryon. (e)Weak interaction. --

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