A thin layer of oil with index of refraction n, = 1.47 is floating above the water. The index of refraction of water is n, =1.3. The index of refraction of air is n, = 1. A light| with wavelength À = 725 nm goes in from the air to oil and water. (a) Express the wavelength of the light in the oil, d,, in terms of å and n„. n. n. n. (b) Express the minimum thickness of the film that will result in destructive interference, fmin, in terms of 7g. (c) Express 1min in terms of 2 and n,. (d) Solve for the numerical value of tmin in nm.

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Chapter1: Units, Trigonometry. And Vectors
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A thin layer of oil with index of refraction n, = 1.47 is floating above the
water. The index of refraction of water is n, =1.3. The index of refraction of air is n, = 1. A light|
with wavelength À = 725 nm goes in from the air to oil and water.
(a) Express the wavelength of the light in the oil, d,, in terms of å and n„.
n.
n.
n.
(b) Express the minimum thickness of the film that will result in destructive interference, fmin, in terms of 7g.
(c) Express 1min in terms of 2 and n,.
(d) Solve for the numerical value of tmin in nm.
Transcribed Image Text:A thin layer of oil with index of refraction n, = 1.47 is floating above the water. The index of refraction of water is n, =1.3. The index of refraction of air is n, = 1. A light| with wavelength À = 725 nm goes in from the air to oil and water. (a) Express the wavelength of the light in the oil, d,, in terms of å and n„. n. n. n. (b) Express the minimum thickness of the film that will result in destructive interference, fmin, in terms of 7g. (c) Express 1min in terms of 2 and n,. (d) Solve for the numerical value of tmin in nm.
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