Review Conceptual Example 4 before beginning this problem.

Chapter , Problem 17

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Review Conceptual Example 4 before beginning this problem. A soap fi lm with diff erent thicknesses at diff erent places has an unknown refractive index n and air on both sides. In refl ected light it looks multicolored. One region looks yellow because destructive interference has removed blue (lvacuum 5 469 nm) from the refl ected light, while another looks magenta because destructive interference has removed green (lvacuum 5 555 nm). In these regions the fi lm has the minimum nonzero thickness t required for the destructive interference to occur. Find the ratio tmagenta/tyellow.

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