推 t0444564 :推最後一句 06/26 14:01
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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