Reflection by thin layers. In the figure, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) The waves of rays r₁ and r2 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). The table below provides the indexes of refraction n₁, n₂, and n3, the type of interference, and the thinlayer thickness L in nanometers. Give the wavelength that is in the visible range. n₁ n₂ n3 11g Type L A
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- In the figure shown below white light in air shines on an oil film that floats on water. When looking straight down at the film, the reflected light is red, with a wavelength of 650 nm. What is the minimum possible thickness of the film? the incident light is white light Again, although the rays have not been drawn perpendicular to the interface, that is just for clarity. The rays actually are perpendicular. air n= 1.00 al oil = ? n = 1.50 b water n = 1.33PLEASE ANSWER ASAP: A soap bubble spans a square wire frame. The bubble has an index of refraction n = 1.33. (It's mostly water.) The bubble is very thin at the top and gets steadily thicker as you go down. You are looking at white light reflected rom the bubble. The bubble is dark at the top, and below this there are repeating rainbows of color. (Only the first one is shown, and, in reality, things aren't so uniform.) In all cases in this problem, consider only normal incidence of the light. a) Why is it dark at the top? (Note: this is also a hint for next part.) b) What is the thickness t of the bubble at the first red stripe from the top? Take red light to have Lamfa= 650 nm in air. Show your work.Consider soap bubble with very thin (or negligibly thin) area. These soap bubbles exhibit brilliant colors when exposed to sunlight. (credit: Scott Robinson). The index of refraction of soap is taken to be the same as that of water. A source a light produces for light with a wavelength of 490 nm. What is the smallest thicknesses of a soap bubble that produce constructive interference? _______m What is the second smallest thicknesses of a soap bubble that produce constructive interference? _______m What is the third smallest thicknesses of a soap bubble that produce constructive interference? _______m What the smallest thicknesses give destructive interference? _______m What the second smallest thicknesses give destructive interference? _______m What the third smallest thicknesses give destructive interference? _______m
- Light passes through two slits separated by 0.01mm. The first order maximum is located at an angle of 30 Degreeson a screen 1 m away from the slits.(a) What is the wavelength of the light?(b) Find the distance between the 1th and the 2nd order maxima.Draw the diagram and indicate the locations of the 1th and 2nd order maxima.In an interference experiment using a monochromatic source emitting light of wavelength 1, the fringes are produced by two long, narrow slits separated by a distance d. The fringes are formed on a screen which is situated at a distance D >> d.Write down an expression for the fringe width w. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate. Use "lambda" (without the quotes) for 1 in the equation box. For example, use d*lambda for d2. Please use the "Display response" button to check you entered the answer you expect. w=A narrow beam of white light enters a prism made of crown glass at a 45 degree incident angle, as shown below. At what angles from perpendicular to the exiting surface, do the red (660 nm) and violet (410 nm) components of the light emerge from the prism? Hint Red light is refracted at refracted at the angles of refraction of two colors is degrees from the perpendicular; violet light is degrees from the perpendicular, and the difference between degrees. Incident light 45° 60° 60° Red (660 nm) 60° Violet (410 nm)
- ** 35. A mirror is to be designed that will reflect infrared laser light of wavelength 1064 nm. The designer chooses a thin layer of magnesium fluoride to coat a plane slab of glass. TheA soap bubble shows strong colors due to interference of the light that reflects from the inner and outer boundaries of the thin soap and water film. Light striking the outer surface has a phase change on reflection of . That means that its phase is flipped when it goes from air to the water surface and back out. Light reflecting from the inner surface, where it is in water then comes to the boundary with air, does not change its phase. Suppose you see white light reflecting from a bubble as it increases its size. The film making the bubble gets thinner and thinner and the colors reflecting from it change. The bubble glows in colors that differ with the thickness of the soap film. As it gets even thinner, what will you see at the place in the film that will soon burst? In doubt, try an experiment with soapy water and make your own bubble. Look at the colors of a reflected white light when the bubble thins. Darkness. The light will destructively interfere and the…ANSWER #2 A-C from the image provided
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