課程名稱︰普通物理(甲)下
課程性質︰
課程教師︰趙治宇
開課系所︰化工系
考試時間︰2005.6.23
試題 :
1.Describe the working principle of near-field optical microscope (10%)
2.(a)Using microscope picture to explain the physical mechanism for the
occurrence of Brewster's angle(5%);(b)Describe the principle of Michelson's
Interferometer(3%)and its applications(2%)
3.Describe the working principle of(a)electric guitar(3%),(b)microphones(3%)
and (c)electromagnetic stove(4%)
4.Using Loop Model to explain why the diamagnetic material is repelled from
a region of greater magnetic field toward a region of lesser field in a
nonuniform field(10%).(Hint:drawings are necessary for the answer of this
problem)
5.Prove that when a thin lens with index of refraction n is surrounded by
air ,this focal length f is given by
1/f=(n-1)(1/R-1/r)
where R is the radius of curvature of the lens surface nearer the object,and
r is that of the other surface(10%)
6.A diffraction grating is illuminated at normal incidence by a sodium vapor
lamp.This lamp contains two closely spaced emission lines of wavelengths 589nm
and 589.59nm.The number of gratings is 1.26*10^4 ,and the grating spacing d is
2016nm.(a)At what angle does the 1st maximum occur for the first of these
wavelengths(3%) (b)In the first order ,what is the angular seperation between
the two lines(4%) (c)How close in wavelength can two lines be and still be
seperated by this grating in the first order(3%)
7.In the circuit shown in (參照Halliday p.824 Fig.30-73 ),the battery is ideal
,ε=12V,L=10mH,R=10Ω,and r=20Ω.The switch has been open for a long time
before it is closed at t=0.(a)At what rate is the current in the inductor
changing immediately after the switch is closed(3%).(b)when the current in the
battery is 0.5A(4%),and(c) what is the current in the battery when the circuit
reaches its steady-state condition(3%)
8.A simple RLC circuit has R=5Ω,C=20μF,L=1H,and ε=30V.(a)At what angular
frequency ω will the current amplitude have its maximum value(2%).(b)What is
this maximum value of the current amplitude (4%)?(c)At what frequency will the
current amplitude be half this maximum value(4%)
9.In (參照Halliday P.918 Fig.33-55),prove
n=[sin1/2(ψ+Φ)]/(sin1/2Φ)
10.In (參照Halliday P.920 Fig.33-64)an unpolarize light with an intensity of
25W/m^2 is sent into a system of four polarizing sheets with polarizing
directions at anglesΘ1=40 degrees,θ2=20 degrees,θ3=20 degrees,θ4=30 degrees
What is the intensity of the light emerges from the system(10%)
11.(參照Halliday P.819 Fig.30-47)題目一模一樣
12.An x-ray beam of wavelength A undergoes first-order reflection grom a
crystal when its angle of incidence to a crystal face 23 degrees ,and x-ray
beam of wavelength is 0.097nm undergoes third-order reflection when its angle
of incidence to that face is 60 degrees.Assuming that the two beams reflect
from the same family of reflecting planes ,find (a)the interplaner spacing (b)
the wavelength A(10%)
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