Problem 5: As the film of a soap bubble thins, it becomes darker, because the path length difference for the reflected light becomes small when compared with the wavelength of the light and there is a phase shift upon reflection at the outer surface. In this problem, assume the wavelength of visible light is in the range 400 nm to 700 nm. If a soap bubble becomes dark when the path length difference is less than one fourth the wavelength, what is the thickest the soap film can be and appear dark at all visible wavelengths? Give your answer in nanometers.

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Problem 5: As the film of a soap bubble thins, it becomes darker, because the path length difference for the reflected light becomes
small when compared with the wavelength of the light and there is a phase shift upon reflection at the outer surface. In this problem, assume the
wavelength of visible light is in the range 400 nm to 700 nm.
If a soap bubble becomes dark when the path length difference is less than one fourth the wavelength, what is the thickest the soap film can be and appear
dark at all visible wavelengths? Give your answer in nanometers.
Transcribed Image Text:Problem 5: As the film of a soap bubble thins, it becomes darker, because the path length difference for the reflected light becomes small when compared with the wavelength of the light and there is a phase shift upon reflection at the outer surface. In this problem, assume the wavelength of visible light is in the range 400 nm to 700 nm. If a soap bubble becomes dark when the path length difference is less than one fourth the wavelength, what is the thickest the soap film can be and appear dark at all visible wavelengths? Give your answer in nanometers.
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