a) When monochromatic light shines perpendicularly on a soap film ( n = 1.33) wi

Question

a) When monochromatic light shines perpendicularly on a soap film (n = 1.33) with air on each side, the second smallest nonzero film thickness for which destructive interference of reflected light is observed is 314 nm. What is the vacuum wavelength of the light in nm?

b) 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 = 468 nm) from the reflected light, while another looks magenta because destructive interference has removed green (?vacuum = 550 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

b)

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