College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 24, Problem 28P
To determine
The minimum thickness of magnesium fluoride.
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Nonreflective coatings on camera lenses reduce the loss of light at the surfaces of multilens systems and prevent internal reflections that might mar the image. Find the minimum thickness of a layer of magnesium fluoride (n = 1.38) on flint glass (n = 1.66) that will cause destructive interference of reflected light of wavelength 5.50 X 102 nm near the middle of the visible spectrum.
Nonreflective coatings for camera lenses reduce the loss of light at various surfaces of multi-lens systems, as well as preventing internal reflections that might mar the image. Find the minimum thickness of a layer of magnesium fluoride (n = 1.35) on flint glass (n = 1.66) that will cause destructive interference of reflected light of wavelength λ = 560 nm, a wavelength which is near the middle of the visual spectrum.
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Chapter 24 Solutions
College Physics
Ch. 24.2 - In a two-slit interference pattern projected on a...Ch. 24.2 - if the distance between the slits is doubled in...Ch. 24.2 - A Youngs double-slit experiment is performed with...Ch. 24.4 - Suppose Youngs experiment is carried out in air,...Ch. 24.7 - In a single-alit diffraction experiment, as the...Ch. 24.8 - If laser light is reflected from a phonograph...Ch. 24 - Your automobile has two headlights. What sort of...Ch. 24 - A plane monochromatic light wave is incident on a...Ch. 24 - A plane monochromatic light wave is incident on a...Ch. 24 - If a Youngs experiment carried out in air is...
Ch. 24 - Sodiums emission lines at 589.0 nm and 589.6 nm...Ch. 24 - Count the number of 180 phase reversals for the...Ch. 24 - Figure CQ24.7 shows rays with wavelength incident...Ch. 24 - Fingerprints left on a piece of glass such as a...Ch. 24 - In everyday experience, why are radio waves...Ch. 24 - Suppose reflected while light is used to observe a...Ch. 24 - Would it be possible to place a nonreflective...Ch. 24 - Certain sunglasses use a polarizing material to...Ch. 24 - Why is it so much easier to perform interference...Ch. 24 - A soap film is held vertically in air and is...Ch. 24 - Consider a dark fringe in an interference pattern...Ch. 24 - Holding your hand at arms length, you can readily...Ch. 24 - A laser beam is incident on two slits with a...Ch. 24 - In a Youngs double-slit experiment, a set of...Ch. 24 - Light at 633 nm from a helium-neon laser shines on...Ch. 24 - Light of wavelength 620. nm falls on a double...Ch. 24 - In a location where the speed of sound is 354 m/s....Ch. 24 - A double slit separated by 0.058 0 mm is placed...Ch. 24 - Two radio antennas separated by d = 3.00 102 cm....Ch. 24 - Prob. 8PCh. 24 - Monochromatic light falls on a screen 1.75 m from...Ch. 24 - A pair of parallel slits separated by 2.00 104 m...Ch. 24 - A riverside warehouse has two open doors, as in...Ch. 24 - A student sets up a double-slit experiment using...Ch. 24 - Radio waves from a star, of wavelength 2.50 102...Ch. 24 - Monochromatic light of wavelength is incident on...Ch. 24 - Waves from a radio station have a wavelength of...Ch. 24 - A soap bubble (n = 1.33) having a wall thickness...Ch. 24 - A thin layer of liquid methylene iodide (n =...Ch. 24 - A thin film of oil (n = 1.25) is located on...Ch. 24 - A thin film of glass (n = 1.52) of thickness 0.420...Ch. 24 - A transparent oil with index of refraction 1.29...Ch. 24 - A possible means for making an airplane invisible...Ch. 24 - An oil film (n = 1.45) floating on water is...Ch. 24 - Astronomers observe the chromosphere of the Sun...Ch. 24 - A spacer is cut from a playing card of thickness...Ch. 24 - An investigator finds at a fiber at a crime scene...Ch. 24 - A plano-convex lens with radius of curvature R =...Ch. 24 - A thin film of oil (n = 1.45) of thickness 425 nm...Ch. 24 - Prob. 28PCh. 24 - A thin film of glycerin (n = 1.173) of thickness...Ch. 24 - Prob. 30PCh. 24 - Light of wavelength 5.40 102 nm passes through a...Ch. 24 - A student and his lab partner create a single slit...Ch. 24 - Light of wavelength 587.5 nm illuminates a slit of...Ch. 24 - Microwaves of wavelength 5.00 cm enter a long,...Ch. 24 - A beam of monochromatic light is diffracted by a...Ch. 24 - A screen is placed 50.0 cm from a single slit that...Ch. 24 - A slit of width 0.50 mm is illuminated with light...Ch. 24 - The second-order dark fringe in a single-slit...Ch. 24 - Three discrete spectral lines occur at angles of...Ch. 24 - Intense white light is incident on a diffraction...Ch. 24 - The hydrogen spectrum has a red line at 656 nm and...Ch. 24 - Prob. 42PCh. 24 - A helium-neon laser ( = 632.8 nm) is used to...Ch. 24 - Prob. 44PCh. 24 - Prob. 45PCh. 24 - White light is incident on a diffraction grating...Ch. 24 - Sunlight is incident on a diffraction grating that...Ch. 24 - Monochromatic light at 577 nm illuminates a...Ch. 24 - Light of wavelength 5.00 102 nm is incident...Ch. 24 - Prob. 50PCh. 24 - The angle of incidence of a light beam in air onto...Ch. 24 - Unpolarized light passes through two Polaroid...Ch. 24 - The index of retraction of a glass plate is 1.52....Ch. 24 - At what angle above the horizon is the Sun if...Ch. 24 - Prob. 55PCh. 24 - The critical angle for total internal reflection...Ch. 24 - Equation 24.14 assumes the incident light is in...Ch. 24 - Prob. 58PCh. 24 - Three polarizing plates whose planes are parallel...Ch. 24 - Light of intensity I0 is polarized vertically and...Ch. 24 - Light with a wavelength in vacuum of 546.1 nm...Ch. 24 - Light from a helium-neon laser ( = 632.8 nm) is...Ch. 24 - Laser light with a wavelength of 632.6 nm is...Ch. 24 - In a Youngs interference experiment, the two slits...Ch. 24 - Light of wavelength 546 nm (the intense green line...Ch. 24 - The two speakers are placed 35.0 cm apart. A...Ch. 24 - Interference effects are produced at point P on a...Ch. 24 - Prob. 68APCh. 24 - Figure P24.69 shows a radio-wave transmitter and a...Ch. 24 - Three polarizers, centered on a common axis and...Ch. 24 - Prob. 71APCh. 24 - A plano-convex lens (flat on one side, convex on...Ch. 24 - A diffraction pattern is produced on a screen 1.40...Ch. 24 - Prob. 74AP
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- 3. a) Calculate the reflectance of a quarter-wave anti-reflecting film of magnesium fluoride (n = 1.35) coated on an optical glass surface of index 1.52. b) Calculate the peak reflectance of a high-reflecting multilayer film consisting of N = 4 stacks of coating materials with high-low refractive index (nH = 2.8 and n, = 1.4).arrow_forwardConsider Aluminum Oxide (Al2O3) is to be deposited as an antireflection coating (ARC) on a-Si solar cell. Calculate the Reflectance for 550 nm wavelength when a 50nm thick Al2O3 layer is deposited on Si. Given: Refractive index of Air = 1. Refractive index of Al2O3 = 1.77.arrow_forwardSolar cells are an example of anti-reflective coatings. Let a silicon solar cell (n = 3.45) coated with a layer of silicon dioxide (n = 1.45). Calculate the minimum coating thickness that will minimize the reflection of the light with wavelength of 650 nm?arrow_forward
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- Quartz is a uniaxial birefringent material with ordinary refractive index no = 1.5443 and extraordinary refractive index ne = 1.5534. It is desired to make a thin plate of quartz to convert incidentplane-polarised light of wavelength λ0 = 633 nm into outgoing circular-polarised light.Define the terms ”birefringent” and ”uniaxial”; calculate the required minimum thickness of theplate; and state the required orientation of the no and ne axes relative to the plane of polarisationof the incident light.arrow_forwardIn the single-slit diffraction experiment of the figure, let the wavelength of the light be 541 nm, the slit width be 6.11 pm, and the viewing screen be at distance D = 3.41 m. Let a y axis extend upward along the viewing screen, with its origin at the center of the diffraction pattern. Also let Ip represent the intensity of the diffracted light at point P at y = 15.8 cm. (a) What is the ratio of Ip the intensity Im at the center of the pattern? Determine where point P is in the diffraction pattern by giving the orders of nearest (b) maximum (0 is the central maximum) and (c) minimum between which it lies. Totally destructive interference- P1 12 Po Central axis a/2 Viewing screen Incident wave Units (a) Number 2.98e-4 This answer has no units Units (b) Number This answer has no units Version 4.24.1 2.arrow_forwardThe nonreflective coating on a camera lens with an index of refraction of 1.21 is designed to minimize the reflection of 565-nm light. If the lens glass has an index of refraction of 1.55, what is the minimum thickness of the coating that will accomplish this task?arrow_forward
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