Review Conceptual Example 4 before beginning this problem. A soap film with diff

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 on both sides. In reflected light it looks multicolored. One region looks yellow because destructive interference has removed blue (vacuum = 489 nm) from the reflected light, while another looks magenta because destructive interference has removed green (vacuum = 554 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

µ.2 t + /2 = 3/2

Destructive interference

2 t µ =

t = / 2µ

t(m) / t (y) = 554 / 489 = 1.132

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