課程名稱︰普通物理
課程性質︰
課程教師︰林敏聰
開課系所︰電機
考試時間︰2005/6/19
試題 :
1.(a) What is the relation between E,B and the velocity v of the
electromagnetic wave?(5%)(註:E B v 均表向量)
(b) Please derive the relation of c=(με)^-1/2 in a traveling
electromagnetic wave in application of Maxwell's equations.(10%)
2. Please derive the kinetic energy K and the E=mc^2 relation in special
relativity with interpretation(10%)
3.(a) If the kinetic energy K and the momentum p of a particle can be measuerd
, it should be possible to find its mass m and thus identify the particle.
Show that
(pc)^2-K^2
m=-------------------
2Kc^2
(5%)
(b) Show that expression reduces to an expected result asμ/c-->0,
in which μ is the speed of the particle.(5%)
4. Explain the concept of duality, and give two examples(described in
details, please)for the"wave"behaving as"particle"and"particle"as"wave",
respectively.
5. Consider an electron tunneling through a barrier, having barrier 3eV and
width 1nm. What is the tunneling probability of this electron if it has
initial energy of 1eV?(Please derive the equation you may need from Schrodinger
equation.)(15%)
-------
E=1eV | | φ=3eV
| |
------> | |
| |
...........................................................
6. Please use Bragg relation in a low energy electron diffraction experiment
to express the vertical interlayer distance d by the primary energy of the
electron E, electron mass m,and the incident θ with respect the sample surface
(10%)
7. Please write down the Schrodinger equation with a one-dimensional potential
well with heigh V and width d fora particle of energy E, and find out the
solution of the wave function. Give a brief interpretation of your solution.
(15%)
8. What is the Stern-Gerlach experiment? Please give the interpretation of
this experiment.(10%)
9. Good luck and have a nice summer vacation!!!(total 100%)
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