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課程名稱︰普通物理甲（下）
課程性質︰大一共同必修
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）︰98/06/18
考試時限（分鐘）：120分鐘
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
(10%)1. In Fig.1 , a light ray in air is incident on a flat layer of
material 2 that has an index of refraction n2 = 1.5 . Beneath
material 2 is material 3 with an index of refraction n3 . The ray is
incident on the air-material 2 interface at the Brewster angle for that
interface . The ray of light refracted into material 3 happens to be
incident on the material 2-material 3 interface at the Brewster angle
for that interface . What is the value of n3 ?
↘ θ1︳
↘ ︳ Air
↘︳
￣￣￣￣↘￣￣￣￣￣￣￣￣￣￣￣
↘ ︳←θ2 n2 Fig. 1
↘︳
￣￣￣￣￣￣￣↘￣￣￣￣￣￣￣￣
↘ n3
↘
(10%)2.A cubical box of widths Lx = Ly = Lz = L contains an electron . What
multiple of h^2/[8m(L^2)] , where m is the electron mass , is (1) the
energy of the electron's ground state , (2) the energy of its 2nd
excited state , and (3) the difference between the energies of its 2nd
and 3rd excited states ? How many degenerate states have the energy of
(4) the 1st excited state and (5) the 5th excited state .
(12%)3.A cubical box of widths Lx = Ly = Lz = L contains 8 electrons . What
multiple of h^2/[8m(L^2)] gives the energy of (1) the ground state ,
(2) the 1st excited state , (3) the 2nd excited state , and (4) the 3rd
excited state of the system of 8 electrons ? Assume that the electrons
do not interact with one another , and do not neglect spin .
(12%)4.Write down the time-independent Schroedinger's equation for the hydrogen
atom . Explain its meaning .
(56%)5.Explain the following terms :
(1) Poynting vector
(2) Bohr magneton
(3) Stern-Gerlach experiment
(4) NMR
(5) Laser
(6) Fermi Sea
(7) neutrino
(8) anti-particle
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