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PROBLEM (a) Calculate the minimum thickness of a soap-bubble film (n 1.33) that will result in constructive interference in the reflected light if the film is illuminated by light with wavelength 602 nm in free space. (b) Recalculate the minimum thickness for constructive interference when the soap-bubble film is on top of a glass slide with n = 1.50 STRATEGY In part (a) there is only one inversion, so the condition for constructive interference is 2nt (m 1/2) The minimum film thickness for constructive interference corresponds to m 0 in this equation. Part (b) involves two inversions, so 2nt = mAts required. (A) Calculate the minimum thickness of the soap bubble film that will result in constructive interference. Solve 2nt-A/2 for the thickness t and substibute 602m (B) Find the minimum soap film thickness when the film is on top of a glass slide with n- 1.33 nterference, when two inversions take -(602 226nm 2 21.33) LEARN MORE REMARKS The swirling colors in a soap bubble result from the thickness of the soap layer varying from one place to another. The swirling is caused by the changing thickness of the layer with time. QUESTION A soap film looks red in one area and violet in a nearby area. In which area is the soap film thicker? O In the violet region, because red light has a shorter O In the violet region, because red light has a longer o In the red region, because red light has a longer O In the red region, because red light has a shorter wavelength than violet light. wavelength than violet light. wavelength than violet light. wavelength than violet light. GETTING STARTEDIM STUCK What other film thicknesses in part (a) will produce
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for W313 n for 502339 nn 45602 On t 35 35x 602 Qx133

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