課程名稱︰普通物理學甲上 課程性質︰物理系必修 課程教師︰高涌泉 開課學院：理學院 開課系所︰物理系 考試日期（年月日）︰2011/01/11 考試時限（分鐘）：105(10:25~12:10) 是否需發放獎勵金：是 （如未明確表示，則不予發放） 試題 : 1.(10%)What is the energy that is required to disassemble Earth compleletly into pieces totally separate from each other? (The mass of Earth is M. The radius of Earth is R.) 2.(10%)Show that the general form of a traveling wave, f(x-vt), satisfies the wave function. 3.(10%)Consider a right-moving traveling wave Z = Asin(kx-ωt) on a uniform rope that has a mass per unit length μ and tension T. What is the average power delivered to the rope or the rate of energy transport for this traveling wave? Express your answer in terms of μ,k,ω,A. 4.(10%)As measured by an observer in an inertial frame, a small clock moving at a constant speed of 0.75c traverses a distance of 60km. The moving clock records 10000 ticks during the passage. How many ticks pass on an identical clock relative to the observer? 5.(10%)As seen from Earth, spaceship A of proper length L is traveling east at speed V1 and spaceship B of proper length 2L is traveling west at speed V2. The pilot of spaceship A sets his clock to zero when the front of spaceship B passes him. When does the tail of spaceship B passes him according to his clock? 6.(10%)A fast moving electron has a total energy of 56GeV. How much of this is kinetic energy? What is the momentum of the electron? What is its speed? (教授表示，動量單位請用GeV/c，速度單位請用c) → 7.(10%)If a particle has relativistic energy E and momentum P=(Px,Py,Pz) in reference frame S. What are the particle's energy and momentum in reference frmae S'? (S'與S的X軸重疊，沿著X軸有相對速度V) 8.(10%)The wavelength of a spectral line in the laboratory is measured to be 108nm. The same line is observed in light coming from a distant galaxy; the wavelength is found to be 124nm. What is the speed of the galaxy relative to Earth? 9.Explain the following: (a)(5%)Young's modulus; (b)(15%)How Michelson and Morley tried to measure the effect of an ether wind? --

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