Reflection by thin layers. In the figure, light is incident perpendicularly on a thin layer of material2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) The waves of rays r 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. ng
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- Transmission through 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.) Part of the light ends up in material 3 as ray r3 (the light does not reflect inside material 2) and r4 (the light reflects twice inside material 2). The waves of r3 and r4 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. ng 14 n1 n2 n3 Туре L 1.76 1.59 1.52 max 413 MacBook ProIn 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 = 1.33Consider the following relative intensity graph for a double-slit experiment. The wavelength of the light used was λ = 633 nm. 1 0.8 0.6 0.4 0.2 0 0 (radians) Determine the width of the slits and the distance between the slits. Clearly indicate which features of the graph you are using to make your determination. You may have already noticed that the maxima are (approximately) 0.01 radians apart. except that there are no maxima at 8 = 0.05 radians or = 0.10 radians. How can you account for these "missing" maxima? (Hint: Consider how the relative intensity graph would be different if the width of the slits were decreased.)
- 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? _______mLight 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.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)
- ANSWER #2 A-C from the image providedPart A (Figure 1) shows a light wave incident on and passing through a thin soap film. Reflections from the front and back surfaces of the film create smaller waves (not shown in the figure) that travel to the left of the film, where they interfere. What is the thickness of the film in terms of the light wavelength inside it? Express your answer as a multiple of wavelength to two significant figures. Πνα ΑΣφ d = Submit Request Answer Part B Figure 1 of 1 Do the reflections from the film surfaces have a phase shift or not? O Reflections from the both surfaces of the film do not have a phase shift. Soap film Reflection from the right surface of the film has a phase shift while reflection f film does not have a phase shift. Reflection from the left surface of the film has a phase shift while reflection fro film does not have a phase shift. Incident wave Reflections from the both surfaces of the film have a phase shift. Submit Previous AnswersA beam of 604 nm light passes through two closely spaced glass plates, as shown in Figure. For what minimum nonzero value of the plate separation d is the transmitted light bright? State your answer in (nm) to the nearest 0.1 nm.