課程名稱︰普通物理學甲下 課程性質︰必帶 課程教師︰林敏聰副教授 開課學院：理學院 開課系所︰物理系 考試日期（年月日）︰99/06/26 考試時限（分鐘）：09:30~(anytime before 16:00) 是否需發放獎勵金：yes （如未明確表示，則不予發放） 試題 : 1.Please derive the relation of c=((myu0)(epsilon0))^-1/2 and E/B=c in a traveling electromagnetic wave in application of Maxwell's equations.(10%) 2.A 15.0 k(ohm) resistor and a capacitor are connected in series, and then a 12.0 V potential difference is suddenly applied across them. The potential difference across the capacitor rises to 5.00V in 1.30x10^-6 sec. (a) Calculate the time constant of the circuit (b) Find the capacitance of the capacitor.(10%) 3.A circular region of R=3.00cm is in which a uniform electric flux is directed out of the plane of the page. The total electric flux through the region is given by (phi)E=(3.00mV*m/s)t, where t is in seconds. What is the magnitude of the magnetic field that is induced at radical distance of 10.00 cm?(10%) 4.Consider an arbitrary charge distribution ro(r) within a volume V. Please express the electric potential phi(r) with terms of monopole charge, dipole moment, and quadrupole moment. (Hint: using binomial expansion)(10%) 5.Explain the concept of duality, and give two examples (described in details, please) for the "wave" behaving as "particle" and "particle" as wave, respectively. Finally, if someone asks:"is" the light or the electron "particle" or "wave"? What would your answer be?(10%) 6.Please use the Bragg relation in a low energy electron diffraction experiment to express tje vertical interlayer distance d by the primary energy of the electron Ep, electron mass m, and the incident angle (sita) with respect the sample surface.(10%) 7.Please write down the operator of linear momentum P in the one-dimensional Schroedinger equation. Please try to give a "heuristic" derivation of this operator.(10%) 8.Please write down the one-dimensional Schroedinger equaiton for a free partical with mass m, and find out the solution of the wave function. Give a brief interpretation of your solution. Is now the energy quantized? WHY? (10%) 9.What is the Stern-Gerlach experiment? Please give the interpretaton of this experiment.(10%) 10.Please give a somple argument to explain why the angular momentum of the electron in s orbital of hydrogen is zero.(10%) 11.(a)Please estimate the probability for one particle(m=100kg) to tunnel through a wall (assuming its barrier 1eV higher than the kinetic energy of the particle) with thickness 10cm. (b)Estimate the time needed for him to tunnel through the wall with frequency 1 Hertz.(10%) 12.Good luck and have a nice summer vacation!!(Total 110%) --

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