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◆ From: 118.168.65.68
課程名稱︰普通物理學
課程性質︰物理系必修
課程教師︰張寶棣
開課學院：理學院
開課系所︰物理系
考試日期（年月日）︰2013/06/20
考試時限（分鐘）：200
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1. Please explain the following questions.
a.What is left-handed circularly polarized light? What is Fermat's priciple to
explain the reflection and refraction of light?(5%)
b.What is Ferromagnetism? Explain why the magnetization of paramagnetic
materials is temperature dependent.(5%)
c.Write down the Maxwell's equation. What is transformer?(5%)
2.In Fig. 1, R=15.0 Omega, C=4.70 uF, and L=25.0mH. The generator provides an
emf with rms voltage 75.0V and frequency 550Hz. (a)What is rms current? What is
the rms voltage across (b)R, (c)C, (d)L, (e)C and L together, and (f)R,C,and L
together? (10%)
3.Given that the driving voltage of the RLC circuit shown in Fig. 2 is
V=V0cos(wt), calculate the current in the three elements. Is there a resonance
frequency?(Hint: One can use a phasor to find the relation between I and V in
each element or write down the circuit equations, and substitute the trial
solution I=I0cos(wt+fi). (15%)
4.A plane electromagnetic wave varies sinusoidally at 90.0 MHz as it travels
along +x direction. The peak value of the electric field is 1.00 mV/m, and it
is directed along the +-y direction.(a) Find the wavelength, the period, and
the maximum value of the magnetic field.(6%) (b) Find the average power per
unit area that this wave carries through space.(3%) (c)Find the average energy
density in the radiation(in joules per cubic meter. 3%) (d) What radiation
pressure would this eave exert upon a perfectly reflecting surface at normal
incidence?(3%)
5.We want to rotate the direction of polarization of a beam of polarized light
through 90 degress by sending the beam through one or more polarizing sheets.
(a) What's the minimum number of sheets required?(5%) (b) What is the minimum
number of sheets required if the transmitted intensity is to be more than 60%
of the original intensity? (5%)
6.A thin layer of CaF2(n=1.41) is deposited onto glass, with n=1.52. The thin
layer is viewed in reflected light as 45 degrees using a white light source
(Fig.3). For what layer thickness will light of 640nm show totally constructive
interference? Are there possible thickness for which light of 480 nm
interference totally constructively as well? Please explain?(15%)
7.Three slits, each seperated from its neighbor by 0.06 nm, are illuminated by
a coherent light source of wavelength 559nm. The slits are extremely narrow. A
screen is located 2.5m from the slits. The intensity on the centerline is
0.05W/m^2. Consider a location 1.72 cm from the centerline. (a) Draw the
phasors, according to the phasor model for the addition od harmonic waves,
appropriate for this location. (b)From the phasor diagram, calculate the
intensity of light of this location.(10%)
8.(a)How many bright fringes appear between th dirst diffraction-envelope
minimum to either side of the central maximum in double slits pattern if
入=550nm, d=0.15mm and a=30.0um? (b) What is the ratio of the third bright
fringe to teh intensity fo the central fringe? (10%)
圖:http://i.imgur.com/NBxrafh.jpg
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