課程名稱︰ 課程性質︰ 課程教師︰ 開課學院： 開課系所︰ 考試日期（年月日）︰ 考試時限（分鐘）： 試題 : General Physics Final Examination 2018 / 6 / 28 I Write down the Maxwells equations and pin point the term from Maxwells contribution 2 . Write down the functional form of a plane electromagnetic wave with wavelength A traveling in vacuum in the positive x direction , assuming its electric component has an amplitude Em directed along the z axis . You should use c to denote the speed of light in vacuum 3 . A luminous point is moving at speed vo toward a spherical mirror with radius of curvature r along the central axis of the mirror . Show that the image of this point is moving at speed v = - ( r / ( 2p-r)^2)v0 where p is the distance of the luminous point from the mirror at any given time 4 . What is the importance of coherence in an interference experiment ? Why we need to demand thin films instead of thick films in order to look for interference pattern ? 5 . Draw the intensity patterns of the double slit interference experiment and the intensity patterns of a single slit diffraction experiment . There is no need to derive the intensity formula 6 . Describe what are the " half-width " , the " dispersion " , and the " resolving power " of a diffraction grating . You can just write down the formula with some explanation Explicit derivations are not required 7 . What's the barn-pole paradox in Special Relativity ? You should present the contradiction ( i.e. paradox ) from the classical point of view and the explanation from Einstein's special relativity 8 . A pulsar is a rapidly spinning remnant of a supernova . It rotates on its axis sweeping hydrogen along with it so that hydrogen on one side moves toward us as fast as 50 km / s , while that on the other side moves away as fast as 50 km / s . What range of wavelengths will we observe for the 91 . 2 nm line in the Lyman series of hydrogen ? 9 . Draw a simplified energy level diagram to describe the operational principle of the He-Ne laser . There is no need to be accurate about the details of energy levels . You should discuss the difference between " spontaneous emission " and " stimulated emission 10 . Use the stationary wave requirement to determine the quantized energies of a particle trapped in a one dimensional infinitive potential well . The particle mass is m and the width of the potential well is a . You need to apply the de Broglie wavelength formula in order to find these energy levels ----- Sent from JPTT on my iPhone --

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