Concept explainers
Looking straight downward into a rain puddle whose surface is covered with a thin film of gasoline, you notice a swirling pattern of colors caused by interference inside the gasoline film. The point directly beneath you is colored a beautiful iridescent green. You happen to remember that the index of refraction of gasoline is 1.38 and that the
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- Parallel rays of monochromatic light with wavelength 594 nm illuminate two identical slits and produce an interference pattern on a screen that is 75.0 cm from the slits. The centers of the slits are 0.640 mm apart and the width of each slit is 0.434 mm . If the intensity at the center of the central maximum is 3.90×10−4 W/m2W/m2 , what is the intensity at a point on the screen that is 0.880 mm from the center of the central maximum? Express your answer with the appropriate units.arrow_forwardWhite light is incident normally on a glass lens (n=1.52) that is coated with a film of MgF2 (n=1.38). For what minimum thickness of the film will the reflections at the two interfaces result in total destructive interference of yellow light of wavelength 580 nm (in air)?arrow_forwardWhat are the two smallest thicknesses of a thin film of material with index of refraction 1.25 that will produce destructive interference for 550 nm light, if the coating is placed between air and crown glass? Assume the light shines perpendicularly onto the coating.arrow_forward
- A film of soapy water (n = 1.33) on top of a plastic cutting board has a thickness of 206 nm. What wavelength and color is most strongly reflected if it is illuminated perpendicular to its surface?Wavelength ?The reflected color ?arrow_forwardSee the attached picture. To give a glass window a red hue, a thin polymer (n = 1.6) coating is applied to the glass (n = 1.4). What is the minimum thickness of the coating required to produce this effect? Take the wavelength of red light to be 650 nm and answer with 3 significant digits. The minimum thickness of the coating is how many nanometers (nm)? Thank you.arrow_forwardThe wings of tiger beetles are colored by interference due to thin cuticle-like layers. In addition, these layers are arranged in patches that are 60 mm across and produce different colors.The color you see is a pointillistic mixture of thin-film interference colors that varies with perspective. Approximately what viewing distance from a wing puts you at the limit of resolving the different colored patches according to Rayleigh’s criterion? Use 550 nm as the wavelength of light and 3.00 mm as the diameter of your pupil.arrow_forward
- green light with wavelength 560 nm, sent through a pair of slits 30.0 μm apart, produces bright fringes 2.24 cm apart on a screen 1.20 m away. If the apparatus is now submerged in a tank containing a sugar solution with index of refraction 1.38, calculate the fringe separation for this same arrangement.arrow_forwardWhite light is sent downward onto a horizontal thin film that is sandwiched between two materials. The indexes of refraction are 1.80 for the top material, 1.70 for the thin film, and 1.50 for the bottom material. The film thickness is 5.00* 10-7 m. Of the visible wavelengths (400 to 700 nm) that result in fully constructive interference at an observer above the film, which is the (a) longer and (b) shorter wavelength? The materials and film are then heated so that the film thickness increases. (c) Does the light resulting in fully constructive interference shift toward longer or shorter wavelengths?arrow_forwardWhy is the following situation impossible? A piece of transparent material having an index of refraction n = 1.50 is cut into the shape of a wedge as shown. Both the top and bottom surfaces of the wedge are in contactwith air. Monochromatic light of wavelength λ = 632.° nm is normally incident from above, and the wedge is viewed from above. Let h = 1.00 mm represent the height of the wedge and ℓ = 0.500 m its length. A thin-film interference pattern appears in the wedge due to reflection from the topand bottom surfaces. You have been given the task of counting the number of bright fringes that appear in the entire length ℓ of the wedge. You find this task tedious, and your concentration is broken by a noisy distraction after accurately counting 5 000 bright fringes.arrow_forward
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