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superposition
the net displacement caused by a combination of each wave individually, can be constructive or destructive
constructive interference
waves add to a larger displacement, waves are in phase and give a larger amplitude or when waves are out of phase light becomes more intense
destructive interference
net displacement is reduced, half a wavelength is out of phase, absence of light
Huygens principle
each of the two slits in Young’s experiment acs as a source of light waves propagating outward in all forward directions, light from the two sources can overlap, resulting in an interference pattern
the angle of a bright or dark fringe
determined by the wavelength of the light and the separation of the slits
linear position of fringe on screen
determined by the distance from the slits to the screen
the separation of fringes
directly related to the wavelength of the light
difraction grating
series of many narrow lines or slits on a flat surface, an extension of the double slit experiment
more slits
peaks become narrower and more intense
….the fringes grow farther apart
as slit spacing decreases….
no change in phase
light reflecting from a medium with a lower index of refraction
phase change by half a wavelength
light reflects form a medium with a larger index of refraction
air wedge
interference fringes are regularly spaced, waves that reflect from objects at different locations can interfere with another, just like the light from two different slits
newtons rings
system similar to an air wedge, but with a slightly different geometry. fringes become more closely spaced as one moves farther from one the center of the pattern, can be used to test the shape of a lens
resolve
the ability to distinguish between different sources of light depends on the wavelength, the greater the wavelength the less the ability
rayleighs criterion
if angular separation between two sources is not great enough, their diffraction patterns overlap to the point where they apear as a single elongated source
electrostatic
slow moving or stationary electric charges, proportional to the magnitudes of charges of interacting objects
charge transfer
when two electrically neutral pieces rub together, they transfer charges from one to the other to give each piece a charge of equal magnitude but oppositesign
law of conservation of charge
the total electric charge of the universe is constant, no physical process can result in the increase or decrease in total amound of electric charge in the universe
insulators
valence electrons are tightly bound
coulombs law
the electrostatic forces exerted by two charges on each other are dependent on distance of charges and sign of charges
positive at origin
electric field is directed outward
negative at origin
electric field is directed inward
light reflecting from medium with lower refraction index
now change in phase
light reflects from a medium with a larger index of reflection
phase changes by half a wavelength
thin films
swirling colors (like soap bubbles) created by interference (constructive and destructive) that eliminates certain wavelengths from reflected light while enhancing others.
thin films appearance depends on
colors that are removed or enhanced at given point depends on precise thickness of the film at that region
gravitational force
proportional to the masses of interacting objects