What is the thinnest soap film (excluding thecase of zero thickness) that appear

Question

What is the thinnest soap film (excluding thecase of zero thickness) that appears black when illuminated withlight with a wavelength of 570 nm? The index of refraction ofthe film is 1.35, and there is air on both sides of the film. Express your answer innanometers. What is the thinnest soap film (excluding thecase of zero thickness) that appears black when illuminated withlight with a wavelength of 570 nm? The index of refraction ofthe film is 1.35, and there is air on both sides of the film. Express your answer innanometers.

Explanation / Answer

   wavelength of the light = 570nanometers = 570*10-9m ------------------------------------------------------------------------------           For destructive interference between theRays coming from the top ofthe   film and that c
         omingfrom the bottom of the film andfor normal incidence.                        2nt= m
   For minimum non– zero valueof‘t’ m = 1       2nt =
      t = / 2n    Plug in values

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