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Sky-blue sky? For problem #4 on scattering of light by small particles,
check out this experiment from the Exploratorium in San Francisco.
It uses simple components -- a baking dish or unused aquarium of water,
a flashlight, powdered milk -- and it will take you to some real science
of scattering of light: that sunsets are red/orange because much of the
shorter wavelengths have been diverted to be someone else's blue sky...
http://www.exploratorium.edu/publications/Snackbook/blue_sky/blue_sky.html