課程名稱︰普通物理學甲下 課程性質︰必修 課程教師︰楊忠喜 開課學院： 開課系所︰生機系 考試日期（年月日）︰2012/5/23 考試時限（分鐘）：120分 是否需發放獎勵金：是 （如未明確表示，則不予發放） 試題 : 應該是從課本習題影印而來，所以題號、圖號不規則或缺失請見諒，課本都找得到吧 (1) From principle of least time or Fermat's principle of Geometric Optics, derive "Law of refraction". 31. A plane electromagnetic wave, with wavelength 3.0 m, travels in free space in the +x-direction with its electric vector E, of amplitude 600 V/m, directed along the y-axis. (a) What is the frequency ν of the wave? (b) What are the direction and amplitude of the B field associated with the wave? (c) If E = Em sin(kx - ωt), what are the values of k and ω for this wave? (d) What is the time-averaged rate of energy flow per unit area associated with this wave? (e) If the wave falls upon a perfectly absorbing sheet of area 2.0 m^2, at what rate would momentum be delivered to the sheet and what is the radiation pressure exerted on the sheet? (10) A narrow beam of parallel light rays ix incident on a glass sphere from the left, directed toward the center of the sphere. (The sphere is a lens but certainly not a thin lens.) Approximate the angle of incidence of the ray as 0 degree. And assume that the index of refraction of the glass is n < 2.0. Find the image distance i (from the right side of the sphere) in terms of n and the radius r of the sphere. Let n = 1.5, r = 4 cm (9) Michelson's Interferometer If Mirror M2 in Michelson's interferometer is moved through 0.2 mm, fringes are counted. What is the wavelength of the light? L = 0.2 mm, N = 400 68. (a) At what angle of incidence will the light reflected from water be completely polarized? (b) Does this angle depend on the wavelength of the light? (2) In Fig., an airtight chamber 5.0 cm long with glass windows is placed in one arm of Michelson interferometer. Light of wavelength λ = 500 nm is used. Evacuating the air from the chamber causes a shift of 60 frings. From these data, find the index of refraction of air atmospheric pressure. (23) Light of wavelength 440 nm passes through a double slit, yielding a diffraction pattern whose graph of intensity I versus angular position θ is shown in Fig.. Calculate (a) the slit width and (b) the slit separation. (6) A ray of light goes through an equilateral triangular prism that is in the orientation for minimum deviation. The total deviation is Φ = 30.0 degree. What is the index of refraction of the prim? 71. Two thin lenses ( focal lengths f1 and f2) are in contact. Find its equivalent focal length ＿＿＿＿＿. 33. A lens with a refractive index of 1.5 is coated with a material of refractive index 1.2 in order to minimize reflection. If λ denotes the wavelength of the incident light in air, what is the thinnest possible such coating? (15) (1) Grating ? has the highest reserving power R ? Why? (2) Grating ? D最大 Why? Table 1 Three Gratings Gratings N d nm θ A 10000 2540 13.3 degree B 20000 2540 13.3 degree C 10000 1370 15.5 degree --

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