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試題 :
General Physics
Final Examination
2018 / 6 / 28
I Write down the Maxwells equations and pin point the term from Maxwells
contribution
2 . Write down the functional form of a plane electromagnetic wave with wavelength A
traveling in vacuum in the positive x direction , assuming its electric component has
an amplitude Em directed along the z axis . You should use c to denote the speed of
light in vacuum
3 . A luminous point is moving at speed vo toward a spherical mirror with radius of
curvature r along the central axis of the mirror . Show that the image of this point is
moving at speed v = - ( r / ( 2p-r)^2)v0 where p is the distance of the luminous point
from the mirror at any given time
4 . What is the importance of coherence in an interference experiment ? Why we need
to demand thin films instead of thick films in order to look for interference pattern ?
5 . Draw the intensity patterns of the double slit interference experiment and the
intensity patterns of a single slit diffraction experiment . There is no need to derive
the intensity formula
6 . Describe what are the " half-width " , the " dispersion " , and the " resolving power " of a
diffraction grating . You can just write down the formula with some explanation
Explicit derivations are not required
7 . What's the barn-pole paradox in Special Relativity ? You should present the
contradiction ( i.e. paradox ) from the classical point of view and the explanation
from Einstein's special relativity
8 . A pulsar is a rapidly spinning remnant of a supernova . It rotates on its axis
sweeping hydrogen along with it so that hydrogen on one side moves toward us as
fast as 50 km / s , while that on the other side moves away as fast as 50 km / s . What
range of wavelengths will we observe for the 91 . 2 nm line in the Lyman series of
hydrogen ?
9 . Draw a simplified energy level diagram to describe the operational principle of the
He-Ne laser . There is no need to be accurate about the details of energy levels . You
should discuss the difference between " spontaneous emission " and " stimulated
emission
10 . Use the stationary wave requirement to determine the quantized energies of a
particle trapped in a one dimensional infinitive potential well . The particle mass is
m and the width of the potential well is a . You need to apply the de Broglie
wavelength formula in order to find these energy levels