Review Conceptual Example 4 before beginning this problem 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 469 nm) from the reflected light, while another looks magenta because destructive interference has removed green (vacuum 555 nm) In these regions the film has the minimum nonzero thickness t required for the destructive interference to occur Find the ratio tmagenta tyellow

Question: Review Conceptual Example 4 before beginning this problem. A soap film with different thicknesses at different places has an unknown refractive index n and air

Review Conceptual Example 4 before beginning this problem. 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 (λvacuum = 469 nm) from the reflected light, while another looks magenta because destructive interference has removed green (λvacuum = 555 nm). In these regions the film has the minimum nonzero thickness t required for the destructive interference to occur. Find the ratio tmagenta/tyellow.

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In air the index of refraction is nearly n 1 while in the film it is greater than one A phase change ... View full answer

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