Thin-Film Interference

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Homework Statement


A soap film with different thicknesses at different placers has an unknown refractive index n and air on both sides. In reflected light it looks multicolored. One region looks yellow because destructive interference has removed blue (([tex]\lambda_{vacuum}[/tex]=469nm)) from the reflected light, while anotyher loks magenta because destructive interference has removed green (([tex]\lambda_{vacuum}[/tex]=555nm)). In these regions the film has the minimum thickness t required for the destructive interference to occur. Find the ration t[tex]_{magenta}[/tex]/t[tex]_{yellow}[/tex]


Homework Equations



[tex]\lambda_{film}[/tex] = [tex]\lambda_{vacuum}[/tex]/ n

The Attempt at a Solution



i know from the problem that m =1 because it says minimum thickness. But after that I do not know how I should set up the problem using algebra or physics.
 

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