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Whats the minimum thickness of a soap bubble film on which light of wavelength 500nm shines...

Whats the minimum thickness of a soap bubble film on which light of wavelength 500nm shines that will give distractive interference of the reflected light? Nair=1, Nsoap=1.46

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Answer #1

tmin = L/4n

tmin = 500nm/4*1.46

tmin = 85.61 nm

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Answer #2

86 nm; first, the wavelength in the soap is w/1.46. Then, since one reflection is "hard" (180 deg phase shift) and the other is "soft" (no phase shift), the added light path through the soap (2x thickness) must be 1/2 wavelength.

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