課程名稱︰普通物理學甲下 課程性質︰化學系必修 地質系選修兼通識 課程教師︰王名儒 開課學院：理學院 開課系所︰物理系 考試日期（年月日）︰2020/6/18 考試時限（分鐘）：120min 試題 : 1.Write down the Maxwell's equations and pinpoint the term from Maxwell's contribution. 2.A small spaceship with a mass of 1.5*10^3 kg is drifting in outer space with negiligible gravatational force acting on it, what speed will the ship attain in 45 days due to the momentum carried away by the beam? 3.A luminuous point is moving at speed v0 toward a sperical mirror with radius of curvature r, along the central axis of the mirror. Show that the image of this point is moving at speed vi=-((r/2p-r)^2)v0, where p is the distance of the luminuous point from the mirror at any given time. 4.Suppose that Young's experiment is performed with blue-green light of wavelength 140nm. The slit is 1.20mm apart, and the viewing screen is 5.40m from the slits. How far apart are the bright fringes near the center of the interference pattern? 5.The pupil of a person's eye has a diameter of 5.0mm. What distance apart must two small objects be if their images are just resloved when they are 250mm apart from the eye and illuminated with light of wavelength 500mm. 6. (a)How many rulings must a 4.00 cm wide diffraction grating have to resolve the wavelength 415.496 and 415.487 nm in the second order (i.e. m=2)? (b)At what angle are the second order maximum found? 7.Write down the Lorentz transformation between the inertial frame, assuming O' is moving along the positive x direction with a speed v and t=t'=0 when O and O' coincides with each other. Demonstrate the effect of time dilation by the Lorentz transformation. 8.A particle of mass m has a momentum equal to mc. What are (a) its Lorentz factor, (b) its speed, and (c) its kinetic energy? 9.Use the stationary wave requirement to determine the quantized energies 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. 10.The electron in a hydrogen atom occupies a conbined state 0.6R(21)+0.8R(32), where R(nl) is the radial wave function with principle quantum number n and orbital quantum l. What is the expected energy of this electron? If the measured energy of this electron is -3.4 eV, what will be the expected orbital angular momentum of this electron? -- https://imgur.com/nfiHc68 https://imgur.com/bC59fqz https://imgur.com/bGYfQEa https://imgur.com/aAUZrJX https://imgur.com/huJULD5 --

※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 140.112.241.58 (臺灣) ※ 文章網址: https://webptt.com/m.aspx?n=bbs/NTU-Exam/M.1592647038.A.180.html