Consider a rectangular soap film placed vertically with thickness increasing linearly from top to bottom as illustrated in Fig. 6. The top portion of soap film has a negligible thickness compared to the wavelength of light. Under the illumination of white light, the top portion appears dark. A total of three sets of horizontal color fringes are observed on the soap film that has a refractive index of n = 1.4. Each fringe contains light with wavelengths ranging from violet at 400 nm to red at 700 nm. (a) Explain with the use of appropriate equations the formation of color fringes on the soap film. You should also state the phase shifts on optical reflections. (b) Explain why the top portion of the soap film is dark. (c) Within each color fringe, is the violet portion above or below that of the red portion? Explain. (d) Assuming the soap film has a vertical length that is 10000 times of its thickness at the bottom, determine the widths of the three sets of color fringes, each containing wavelengths from 400 nm to 700 nm.

Consider a rectangular soap film placed vertically with thickness increasing linearly from top to bottom as illustrated in Fig. 6. The top portion of soap film has a negligible thickness compared to the wavelength of light. Under the illumination of white light, the top portion appears dark. A total of three sets of horizontal color fringes are observed on the soap film that has a refractive index of n = 1.4. Each fringe contains light with wavelengths ranging from violet at 400 nm to red at 700 nm. (a) Explain with the use of appropriate equations the formation of color fringes on the soap film. You should also state the phase shifts on optical reflections. (b) Explain why the top portion of the soap film is dark. (c) Within each color fringe, is the violet portion above or below that of the red portion? Explain. (d) Assuming the soap film has a vertical length that is 10000 times of its thickness at the bottom, determine the widths of the three sets of color fringes, each containing wavelengths from 400 nm to 700 nm.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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