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A thin film of oil (n =1.50) with varying thickness floats on water (n = 1.33). When it is illuminated from above by white light, the reflected colors are as shown in the figure below. In air, the wavelength of yellow light is 580 nm. (a) What is the oil's thickness t at point B? [hint: this is the second thinnest region for yellow light]. Your solution must include a neat diagram. (b) The oil's thickness at point A is estimated to be 20 % of that at point B. Prove (do calculation) that there are no reflected visible colors can be seen at point A. Air Oil Dark no = 1.50 A В Water Nw= 1.33 Blue Yellow Red Blue Yellow

A thin film of oil (n =1.50) with varying thickness floats on water (n = 1.33). When it is illuminated from above by white light, the reflected colors are as shown in the figure below. In air, the wavelength of yellow light is 580 nm. (a) What is the oil's thickness t at point B? [hint: this is the second thinnest region for yellow light]. Your solution must include a neat diagram. (b) The oil's thickness at point A is estimated to be 20 % of that at point B. Prove (do calculation) that there are no reflected visible colors can be seen at point A. Air Oil Dark no = 1.50 A В Water Nw= 1.33 Blue Yellow Red Blue Yellow

University Physics Volume 3
University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter3: Interference
Section: Chapter Questions
Problem 91CP: A film of oil on water will appear dark when it is very thin, because the path length difference...
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A thin film of oil (n =1.50) with varying thickness floats on water (n = 1.33). When it is illuminated from above by white light, the reflected colors are as shown in the figure below. In air, the wavelength of yellow light is 580 nm. (a) What is the oil's thickness t at point B? [hint: this is the second thinnest region for yellow light]. Your solution must include a neat diagram. (b) The oil's thickness at point A is estimated to be 20 % of that at point B. Prove (do calculation) that there are no reflected visible colors can be seen at point A. Air Oil Dark no = 1.50 A В Water Nw= 1.33 Blue Yellow Red Blue Yellow
Transcribed Image Text:A thin film of oil (n =1.50) with varying thickness floats on water (n = 1.33). When it is illuminated from above by white light, the reflected colors are as shown in the figure below. In air, the wavelength of yellow light is 580 nm. (a) What is the oil's thickness t at point B? [hint: this is the second thinnest region for yellow light]. Your solution must include a neat diagram. (b) The oil's thickness at point A is estimated to be 20 % of that at point B. Prove (do calculation) that there are no reflected visible colors can be seen at point A. Air Oil Dark no = 1.50 A В Water Nw= 1.33 Blue Yellow Red Blue Yellow
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