課程名稱︰普通物理學甲(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）︰98/06/24
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 :
(15%)1.Show that the energy contained in an electromagnetic wave is shared
equally between the magnetic field and the electric field.
(15%)2.Derive the expression for the intensity I(θ) of the single-slit
diffraction pattern as a function of the angle θ, the slit width a,
wave length λ, and the greatest value of I(θ) is Imax.(Figure 1)
∣ ｜
｜ ╱｜
｜ ╱ ｜
_｜ ╱ ｜
╱ ｜
a ╱θ ｜ I(θ)
_ ￣￣￣￣￣｜
｜→ D ←｜ D >> a
｜ ｜
｜ ｜
｜ ｜ Figure 1
(10%)3.An electron is trapped in a one-dimensional infinite potential well
of width L. What is the energy difference ΔE between its quantum
levels n and n+2 ?
(15%)4.How did Stern and Gerlash find that the magnetic moment of silver
atoms is quantized ?
(10%)5.An electron in Hydrogen atom is in a state with n=3. What are
(a)the number of possible values of l ?
(b)the number of possible values of ml ?
(c)the number of possible values of ms ?
(d)the number of states in the n=3 shell ?
(10%)6.Seven electrons are trapped in a one-dimensional infinite potential
well of width L. What multiple of h^2/8mL^2 gives the energy of the
ground state of this system? Assume that the electrons do not interact
with one another, and do not neglect spin.
(25%)7.Explain
(a)Brewster angle.
(b)Poynting vector.
(c)Fermi energy.
(d)Baryon.
(e)Weak interaction.
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