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5. Assume the indices of refraction for air, water, and glass are 1.00, 1.33, and 1.50, respectively. When illuminated from above, a ray reflected from the air-water interface undergoes a phase shift of o, = T, and a ray reflected at the water-glass interface also undergoes a phase shift of n. Thus, the two rays are unshifted in phase relative to cach other due to reflection. For constructive interference, the path difference 2t must equal an integer number (m) of wavelengths in water. 14=(2/2)27+* air water glass a. Derive the equation in terms of A based on the situation above. b. If this m-value is an integer the wavelength undergoes constructive interference upon reflection in terms of A, compute for the wavelengths for the following thickness: t- 2x 10°m at myoo nm and m.00 am

5. Assume the indices of refraction for air, water, and glass are 1.00, 1.33, and 1.50, respectively. When illuminated from above, a ray reflected from the air-water interface undergoes a phase shift of o, = T, and a ray reflected at the water-glass interface also undergoes a phase shift of n. Thus, the two rays are unshifted in phase relative to cach other due to reflection. For constructive interference, the path difference 2t must equal an integer number (m) of wavelengths in water. 14=(2/2)27+* air water glass a. Derive the equation in terms of A based on the situation above. b. If this m-value is an integer the wavelength undergoes constructive interference upon reflection in terms of A, compute for the wavelengths for the following thickness: t- 2x 10°m at myoo nm and m.00 am

College Physics
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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5. Assume the indices of refraction for air, water, and glass are 1.00, 1.33, and 1.50, respectively. When illuminated from above, a ray reflected from the air-water interface undergoes a phase shift of o, = T, and a ray reflected at the water-glass interface also undergoes a phase shift of n. Thus, the two rays are unshifted in phase relative to cach other due to reflection. For constructive interference, the path difference 2t must equal an integer number (m) of wavelengths in water. air 14%=(2/2)27+x water glass a. Derive the equation in terms of A based on the situation above. b. If this m-value is an integer the wavelength undergoes constructive interference upon reflection in terms of A, compute for the wavelengths for the following thickness: t- 2 x 10°m at mr00 nm and m.o0 am
Transcribed Image Text:5. Assume the indices of refraction for air, water, and glass are 1.00, 1.33, and 1.50, respectively. When illuminated from above, a ray reflected from the air-water interface undergoes a phase shift of o, = T, and a ray reflected at the water-glass interface also undergoes a phase shift of n. Thus, the two rays are unshifted in phase relative to cach other due to reflection. For constructive interference, the path difference 2t must equal an integer number (m) of wavelengths in water. air 14%=(2/2)27+x water glass a. Derive the equation in terms of A based on the situation above. b. If this m-value is an integer the wavelength undergoes constructive interference upon reflection in terms of A, compute for the wavelengths for the following thickness: t- 2 x 10°m at mr00 nm and m.o0 am
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