find the thickness of the oil that results in constructive interference of 444-nm light. please show...
Thin Film Interference Problems 1. Oil (n=1.25) floats on water. What is the minimum thickness of oil in a region where it appears green ( = 525 nm)? (Ans: 210 nm) 2. A 500 nm thick layer of oil (n = 1.25) floats on water. What wavelengths of light in the visible range (400 nm to 700 nm) are maximally reflected? (Ans: 417 nm, 625 nm) 3. Athin film of acetone (n = 1.25) coats a thick glass plate (n...
A soap bubble film (n=1.42) of thickness 106 nm results in a constructive interference in the reflected light if this film is illuminated by a beam of light with a wavelength of 601 nm. What are the next three thicknesses of this film that will also result in a constructive interference?
A thin film, with a thickness of 277.1 nm and with air on both sides, is illuminated with a beam of white light. The beam is perpendicular to the film and consists of the full range of wavelengths for the visible spectrum. In the light reflected by the film, light with a wavelength of 632.3 nm undergoes fully constructive interference. At what wavelength does the reflected light undergo fully destructive interference? (Hint: You must make a reasonable assumption about the...
A thin layer of oil with index of refraction no = 1.47 is floating above the water. The index of refraction of water is nw = 1.3. The index of refraction of air is na = 1. A light with wavelength 1 = 750 nm goes in from the air to oil and water. n n (a) Express the wavelength of the light in the oil. 1o, in terms of 1 and no- (b) Express the minimum thickness of the...
11. Consider an oil film (thickness d, n=1.5) on top of water (n = 1.3). Light of 2= 600 nm is normally incident. Which values of d produce destructive interference?
A thin film of oil (n. =1.50) with varying thickness floats on water (nw = 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]. (b) Estimate (no calculation) the oil's thickness at point A. [hint : use the result...
(17 %) Problem 3: A thin layer of oil with index of refraction no-l .47 is floating above the water. The index of refraction of water is nw 13. The index of refraction of air is na-1. A light with wavelength λ = 625 nm goes in from the air to oil and water. 25% Part (a) Express the wavelength of the light in the oil, λο, in terms of λ and no. 쇼 25% Part (b) Express the minimum...
Calculate the minimum thickness (in nm) of an oil slick on water that appears blue when illuminated by white light perpendicular to its surface. Take the blue wavelength to be 465 nm and the index of refraction of oil to be 1.4. Your answer should be a number with one decimal place, do not include unit. 1 nm = 10m na = 1 ng 1.33 Water
A light ray in air (n= 1) is incident on a thin film of oil (noil = 1.60) floating on top of water (nwater = 1.33), as shown below. The wavelength of the incident light in air is Aair = 640 nm. The oil layer has a thickness t = 0.5 um. The ray is assumed to be incident practically along the normal. That is, we won't be worried about angles of reflection or refraction when doing this problem. However,...
Thin-Film Interference Consider 3 situations in which light of wavelength 600 nm in air reflects perpendicularly from a thin film of thickness 200 nm and an index of refraction of 1.5. In each situation, the film lies between two media with different indices of refraction as shown. Both source and detector are above the film in air. Situation2 Situation.3 Situation1 n 1.4 n 1.4 n=1.5 n 1.3 10. (1.5 points) In which situation or situations will the film appear the...