Light of wavelength 591 nm is incident perpendicularly on a soap film (n : 1.33) suspended in air. What are the (a) least and (b) second least thicknesses of the film for which the reflections from the film undergo fully constructive interference?
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- A thin layer of oil (n=1.28) spills onto the surface of a nearby lake (water has n=1.33). It produces maximum reflection for orange ligh ( 580 nm wavelength). Assuming the maximum occurs in the first order, determine the thickness of the oil slick. Note that by "first order" we mean that this is the minimum amount of shifting required for reflection to occur.A thin film of oil (n = 1.30) is located on smooth, wet pavement. When viewed from a direction perpendicular to the pavement, the film reflects most strongly red light at 640 nm and reflects no light at 548 nm. (a) What is the minimum thickness of the oil film? nm (b) Let m₁ correspond to the order of the constructive interference and m₂ to the order of destructive interference. Obtain a relationship between m₁ and m₂ that is consistent with the given data.A thin film apparatus reflects normally incident light with indices of refraction of n =1.35, n, =1.50, and n, =1.35 for the incident light side material, the thin film material, 10. and the transmitted side material respectively. The reflected light from the n,,n, surface interferes with the light reflected by the n,,nțextrface. Find the third smallest thickness, L, for the thin film material that produces a maximum in the reflected light at an air wavelength of 2 = 540.0 nm .
- Monochromatic light (λvacuum = 640 nm) shines on a soap film (n = 1.33) that has air on either side of it. The light strikes the film perpendicularly. What is the minimum thickness of the film for which constructive interference causes it to look bright in reflected light?Express the minimum thickness of the film, t, that results in constructive interference, in terms of n and λ. A soap bubble film with index of refraction n = 1.33 is illuminated perpendicularly with a light of wavelength λ = 350 nm.A thin film of thickness 187.5 nm and refractive index 1.6 is coated on plastic of refractive index 1.5. Red light of wavelength 600 nm is incident normally on the film. (a) Determine total path difference between light reflecting from the top and bottom of the film (b) Express path difference in terms of wavelength. (c) what type of interference do we have for the reflected light?
- Light of wavelength 652 nm in air undergoes constructive interference when it is perpendicularly reflected from an oil spill on a plastic sheet. The refractive index of the oil is 1.24 and that of the plastic is 1.49. What is the nonzero thickness, in nanometers, of the thinnest oil film that causes such interference?A double-slit arrangement produces bright interference fringes for sodium light (λ = 644 nm) that are angularly separated by 0.40° near the center of the pattern. What is the angular fringe separation if the entire arrangement is immersed in water, which has an index of refraction of 1.33?