Antireflection coatings can be used on the inner surfaces of eyeglasses to reduce the reflection of stray light into the eye, thus reducing eyestrain.a. A 90-nm-thick coating is applied to the lens. What must be the coating’s index of refraction to be most effective at 480 nm? Assume that the coating’s index of refraction is less than that of the lens.b. If the index of refraction of the coating is 1.38, what thickness should the coating be so as to be most effective at 480 nm? The thinnest possible coating is best.

Antireflection coatings can be used on the inner surfaces of eyeglasses to reduce the reflection of stray light into the eye, thus reducing eyestrain.a. A 90-nm-thick coating is applied to the lens. What must be the coating’s index of refraction to be most effective at 480 nm? Assume that the coating’s index of refraction is less than that of the lens.b. If the index of refraction of the coating is 1.38, what thickness should the coating be so as to be most effective at 480 nm? The thinnest possible coating is best.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 117AP: An amateur astronomer wants to build a telescope with a diffraction limit that will allow him to see...

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The lens of a telescope has a diameter of 25 cm. You are using it to look at two stars that are 2 × 10 17 m away from you and 6 × 10 9 m from each other. You are measuring light with a wavelength of 700 nm. As the light goes through the lens, it diffracts. a. Is it possible, using this telescope, to see the two stars as separate stars? b. What is the minimum possible lens diameter you would need in order to resolve these two stars?
Assume that a material is composed of 3 layers in descending order: air (nair = 1.00), water (nwater = 1.33), and glass (nglass= 1.52). Then, assume that a monochromatic light ray in the air passes through the surface of water with an angle of incidence 0₁ = 40 degrees. A. Find the angle of refraction in glass after it passes completely through the water layer. B. Find how fast is the light ray moving in the glass?
a. If light is incident upon the water (refractive index 1.33) at an angle of 60°, what is the angle of refraction?b. Find the critical angle of a sapphire which has a index of refraction of 1.77. c. A beam of white light goes from air into quartz at an angle of incidence of 50°. What is the angle between the red (660 nm) and blue (470 nm) parts of the refracted light
The walls of a soap bubble have about the same index of refraction as that of plain water, n=1.33. There is air both inside and outside the bubble. a. What wavelength (in air) of visible light is most strongly reflected from a point on a soap bubble where its wall is 288 nm thick? b. What wavelength (in air) of visible light is most strongly reflected from a point on a soap bubble where its wall is 346 nm thick?
Light is incident from air (n = 1) to water (n = 1.33). The light has a wavelength of 538 nm. A. What is the wavelength of the light in water? B. If the angle of incidence is 40°. What are the angles of refraction and reflection?
A helium-neon laser (λ = 633 nm), as shown, is built with a glass tube of inside diameter 1.0 mm. One mirror is partially transmitting to allow the laser beam out. An electrical discharge in the tube causes it to glow like a neon light. From an optical perspective, the laser beam is a light wave that diffracts out through a 1.0-mm-diameter circular opening.a. Explain why a laser beam can’t be perfectly parallel, with no spreading.b. The angle θ1 to the first minimum is called the divergence angle of a laser beam. What is the divergence angle of this laser beam?c. What is the diameter (in mm) of the laser beam after it travels 3.0 m?d. What is the diameter of the laser beam after it travels 1.0 km?
Light of wavelength 541 nm is incident from air (n = 1) to glass (n = 1.51). A). What is the wavelength of the light in glass? B). If the angle of incidence is 37°, What is the angle of refraction? C. If the angle of refraction is 39.80°, at what angle did the light touch the glass surface?
4. a. Determine the size of the Airy disk (in m) found at the center of a 4.00-cm diameter lens, with a focal length of 15.0 cm. Assume the incident light wavelength is the middle of the visible spectrum = 550. nm. b. In observational astronomy, we assume that stars, being so far away, are point sources of light, and that the image of a star in a telescope eyepiece is therefore also a point. Given that the average human near-field resolution is 0.10 mm, does your result in part a justify this assumption? Explain your answer, using the value from part a. c. Assume that the objective lens diffraction limit is the only one that matters on a telescope (actually a good assumption, not justified here). What is the angular size (in radians) of the smallest object that can be truly observed as a disk on the 4.00-cm telescope in part a? Can Jupiter (maximum angular size = 51 arc-seconds) be seen as a disk through this telescope? Note that real telescopes have glass or mirror imperfections which…
A flat panel, with surface area A, reflects 75% of the incident light with intensity I and absorbs the rest. What is the average force on the stone at normal incidence? a. 0.25 IA/c b. 0.75 IA/c c. 1.00 IA/c d. 1.25 IA/c e. 1.75 IA/c
4. Figure CQ22.4 shows light from material A with index of refraction nд entering materials B and C with indices of refraction NB and nc Rank the three indices of refraction from largest to smallest. a. nд, nB , nc b. nB, nc, NA c. nc, WA 9 nB d. nB NA, 2 nc e. nc, nB, NA Figure CQ22.4 NA ng 55.0° i 55.0° nc
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 360-nm thick oil film floats on the surface of a pool of water. The indices of refraction of the oil and the water are 1.50 and 1.33, respectively. When the surface of the oil is illuminated from above at normal incidence with white light, what is the wavelength of light between 400 nm to 800 nm wavelength that is most weakly reflected? Select one: a. 520 nm b. 540 nm c. 600 nm d. 580 nm e. 560 nm