Because the coating is expensive, you want to use a layer that has the minimum thickness possible, which you determine to be 104nm. What should the index of refraction of the coating be if it must cancel 550 nm light that hits the coated surface at normal incidence?
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You are designing a thin transparent reflective coating for the front surface of a sheet of glass. The index of refraction of the glass is 1.52, and when it is in use the coated glass has air on both sides. Because the coating is expensive, you want to use a layer that has the minimum thickness possible, which you determine to be 104nm. What should the index of refraction of the coating be if it must cancel 550 nm light that hits the coated surface at normal incidence?
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- Two waves of light in air, of wavelength 600.0 nm, are initially in phase. They then travel through plastic layers as shown in the figure below, with L1 = 4.44 µm, L2 = 3.97 µm, n1 = 1.45, and n2 = 1.62. What multiple of A gives their phase difference after they have both emerged from the layers? Give absolute value. L1 Number i 0.906 Units This answer has no unitslight of wavelength λ in a vacuum has a wavelength of 438 nm in water (n=1.33) and a wavelength of 390 nm in benzene. a) what is the wavelength λ? b) using only the given wavelengths, determine the ratio of the index of refraction of benzene to that of water.1. a. If a piece of glass (n = 1.5) is coated with a transparent plastic (n = 2.0), will there be aphase shift in either of the beams reflecting off the interfaces (air/plastic and plastic/glass)? Howcan you tell, without doing the experiment, whether or not there will be a phase shift in eitherbeam? Be specific about what rays are reflecting off what materials. b. So what thickness or thicknesses give the maximum reflection? What thickness or thicknesses(hint: it’s thicknesses) give the minimum reflection? Assume that a light of wavelength 500. nmis used, and you may leave the answer in nm. Yes, this is a choice between equations 35.17 and35.18, but your answer to part a should be helpful in deciding which set.
- Figure P24.69 shows d- radio-wave transmitter and a receiver, both h = 50.0 m above the ground and d = 6.00 X 102 m apart. The receiver can receive signals directly from the transmit- ter and indirectly from signals that bounce off the ground. If the ground is level between the transmitter and receiver and a /2 phase shift occurs upon reflection, determine the longest wave- lengths that interfere (a) constructively and (b) destructively. Transmitter Receiver Figure P24.69A possible means for making an airplane invisible to radar is to coat the plane with an anti-reflective polymer. If radar waves have a wavelength of 3.30 cm and the index of refraction of the polymer is n = 1.20, how thick would you make the coating? State your answer in cm to the nearest 0.001cm.A film of oil on water will appear dark when it is very thin, because the path length difference becomes small compared with the wavelength of light and there is a phase shift at the top surface. If it becomes dark when the path length difference is less than one-fourth the wavelength, what is the thickest the oil can be and appear dark at all visible wavelengths? Oil has an index of refraction of 1.40. Take 380 nm to be the shortest visible wavelength in air.
- Consider a light wave passing through a slit and propagating toward a distant screen. Figure P37.53 shows the intensity variation for the pattern on the screen. Give a mathematical argument that more than 90% of the transmitted energy is in the central maximum of the diffraction pattern. Sugges- tion: You are not expected to calculate the precise percent- age, but explain the steps of your reasoning. You may use the identification 1 1 8 Imax asine -3T -27 -T 27 37 A Figure P37.53 ||An investigator finds a fiber at a crime scene that he wishes to use as evidence against a suspect. He gives the fiber to a technician to test the properties of the fiber. To measure the diameter of the fiber, the technician places it between two flat glass plates at their ends as in Figure P24.24. When the plates, of length 14.0 cm, are illuminated from above with light of wavelength 6.50 x 102 nm, she observes bright interference bands separated by 0.580 mm. What is the diameter of the fiber?1. a. If a piece of glass (n = 1.5) is coated with a transparent plastic (n = 2.0), will there be a phase shift in either of the beams reflecting off the interfaces (air/plastic and plastic/glass)? How can you tell, without doing the experiment, whether or not there will be a phase shift in either beam? Be specific about what rays are reflecting off what materials. b. So what thickness or thicknesses give the maximum reflection? What thickness or thicknesses (hint: it's thicknesses) give the minimum reflection? Assume that a light of wavelength 500. nm is used, and you may leave the answer in nm. Yes, this is a choice between equations 35.17 and 35.18, but your answer to part a should be helpful in deciding which set.
- A sheet of glass of refractive index 1.50 is coated with a 400 nm-thick layer of oil of index 1.36. What is the longest wavelength of light in the visible region (400 nm - 700 nm) for which you get desructive interference.You stretch a strand of your hair across a laser beam and observe the diffraction pattern this produces on a sheet of paper 1.15 m from your hair strand. You mark the center of the dark regions on either side of the central bright spot and measure the distance between these marks to be 21.4 mm. You are given that the wavelength of the laser light is 633 nm. What is the diameter of your hair strand (in mm)? Make use of the small angle approximation. (Hint: recall Babinet's principle which equates the spot pattern created by light going around the hair to the pattern when light goes through a slit.)Ch26,P24