A soap film with different thicknesses at different places has an unknown refrac

Question

A soap film with different thicknesses at different places 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 (vacuum = 462 nm) from the reflected light, while another looks magenta because destructive interference has removed green (vacuum = 559 nm). In these regions the film has the minimum nonzero thickness t required for the destructive interference to occur. Find the ratio tmagenta/tyellow.

Explanation / Answer

A soap film with different thicknesses at different places has an unknown refrac

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