A material having an index of refraction of 1.25 is used as an antireflective coating on a piece of glass (n = 1.50). What should be the minimum thickness of this film in order to minimize reflection of 520 nm light? nm

A material having an index of refraction of 1.25 is used as an antireflective coating on a piece of glass (n = 1.50). What should be the minimum thickness of this film in order to minimize reflection of 520 nm light? nm

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Wave Optics

Section: Chapter Questions

Problem 24P

See similar textbooks

Related questions

Q: A thin film of acetone (n =1.25) coats a thick glass plate (n = 1.50).White light is incident normal…

A: It is given that

Q: 1. A two-slit experiment with slits separated by 48 0 10 5 . × − m produces a second-order maximum…

A: Given : a) d=48 x 10-5 θ=0.990° m=2 b) d= 68 x 10-5 θ=0.990° m=2

Q: 1) A thin film of water (n 1.33)floats on the surface of an oil with refractive index 1.65. White…

A: Givenn=1.33n'=1.65Angle of reflection,θ=48°λ=610 nm=610×10-9 m

Q: In an interference experiment using a monochromatic source emitting light of wavelength à = 600 nm,…

A: A single wavelength which is falls on two narrow slit S1 and S2 which are very close to each other…

Q: Coating of some thickness, n = 1.33 Glass, n = 1.5 Air, index of refraction n = 1.00 Light coming in…

A: Given: wavelength of light in air λ=533 nm (green)

Q: Q4 , A piece of transparent material with the refractive index n = 1.5 is cut into the shape of a…

A: Given: Wavelength λ = 500 nm = 500×10-9 mrefractive idex of the film n = 1.5 To find: a) the…

Q: Q# 4.b. Monochromatic light of wavelength 542 pm is incident on a narrow slit. On a screen 4.00 m…

Q: You are working as an expert witness for a district attorney. She wishes to know the diameter (in…

Q: 1. What happens when light passes through two narrow slits? (answer only) a. It produces a spectrum…

Q: When viewing a painting that is behind glass, one is often affected by the light that is reflected…

Q: You illuminate a slit with a width of 70.1 µm with a light of wavelength 711 nm and observe the…

A: Given: Slit width, d=70.1 μm Wavelength of light, λ=711 nm Distance between slit and screen,D=2.25 m…

Q: 9.The soap film had a refractive indexn = 1.40 and a thickness of 600 nm when white light was…

Q: double slit experiment using 532 nm light produces an interference pattern with the 1st order maxima…

A: Wavelength of light= 532nm

Q: In an interference experiment using a monochromatic source emitting light of wavelength A = 600 nm,…

Q: 3 A plane wave of wavelength 590 nm is incident on a slit with a width of a = 0.40 mm. A thin…

Q: Suppose you are measuring double-slit interference patterns using an optics kit that contains the…

A: The minimum fringe width which can be measured by using the scale 30 cm is 1 cm. Thus, the minimum…

Q: A thin layer of oil with index of refraction n, = 1.47 is floating above the water. The index of…

A: Given that: Given that:Refractive index of oil, no=1.47 Refractive index of water, nw=1.3Refractive…

Q: Light containing the wavelengths λ₁ = 540 nm (green) and λ₂ = 450 nm (blue) falls on a diffraction…

A: Given that: λ1=540 nm=540×10-9mλ2=450 nm=450×10-9mp=400 slits/mm=400×103 slits/mLength of the…

Q: A monochromatic light passes through a grating to produce a pattern on a screen at a distance from…

A: When a monochromatic light passes through a grating, it produces a interference pattern on the…

Q: 1. Light from a red laser passes through a single slit to form a diffraction pattern. If the width…

Q: A uniform film of oil (n = 1.31) is floating on water. When sunlight in air is incident normally on…

A: In case of thin film interface, for oil floating on the water, Condition for brightness or…

Q: 1. A laser with light of wavelength 632.8 nm illuminates a double slit in Young's double slit…

A: Given: The wavelength is λ=632.8 nm. The distance of screen from slits is D=2 m. The separation…

Q: When viewing a painting that is behind glass, one is often affected by the light that is reflected…

A: Refractive index of glass, ng = 1.5 Refractive index of material, n = 1.3 Wavelength, λ = 300 nm

Q: A thin layer of an oil (n = 1.70) floats on top of water (n = 1.33). One portion of this film…

Q: A quarter-wave plate is made from a material whose indices of refraction for light of free-space wav…

Q: A- Consider a bubble formed from a thin, soapy film that looks blue when viewed at normal incidence.…

A: The condition of constructive interference is given as, Here, d represents the thickness of the…

Q: An oil film (n = 1.46) floats on a water puddle. You notice that green light (A = 520 nm) is absent…

Q: An extremely thin sheet of glass is being inspected at the camera store. Illuminated by white light…

A: Refractive index (n) = 1.52 Thickness (t) = 0.415 × 10-6 m Order (m)=1 Now , 2 n t = m ×…

Q: Anti-reflective coatings on lenses use thin-film interference to eliminate the reflection of a…

A: The minimum thickness of the film is 101.52 nm

Q: Anti-reflective coatings on lenses use thin-film interference to eliminate the reflection of a…

Q: A sheet of glass of refractive index 1.50 is coated with a 400 nm-thick layer of oil of index 1.36.…

A: Given, Refractive index of glass sheet nglass = 1.50 Thickness of oil layer t = 400 nm Refractive…

Q: Plastic coatings are put in car's glass windows (n = 1.52) in order to keep the interior of cars…

Q: In an optical 2 -slit experiment using light of 1 = 430 nm, the distance between dark fringes, on a…

A: Case 1 D=2.5m d=4.2mm Lamda= 430nm Case 2 Lamda=600nm

Q: In an interference experiment using a monochromatic source emitting light of wavelength A = 600 nm,…

Q: Anti-reflective coatings on lenses use thin-film interference to eliminate the reflection of a…

Q: 1.5

A: To obtain min thickness, we have to apply the condition of reflection on both wavelengths..

Q: A plastic bubble of thickness 102 nm has its strongest (m = 1) reflection maximum at 604 nm. What is…

A: thickness t=102 nm order of reflection m=1 Wavelength λ=604 nm To find: Refractive index of bubble…

Q: How can one change a double slit pattern produced by a monochromatic source from few nodal lines…

A: In the this double slit experiment here we need to reduce the path difference i.e., need to decrease…

Q: A diffraction grating is illuminated by a monochromatic light of wavelength 660 nm. What is the…

Q: An extremely thin sheet of glass is being inspected at the laboratory. Illuminated by white light at…

A: Given: n = 1.66 t =0.384 μm = 0.384*10-6 m

Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

A material having an index of refraction of 1.25 is used as an antireflective coating on a piece of glass (n = 1.50). What should be the minimum thickness of this film in order to minimize reflection of 520 nm
light?
nm

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Diffraction of light$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

(a) Find the angle between the first minima for the two sodium vapor lines, which have wavelengths of 589.1 and 589.6 nm, when they fall upon a single slit of width 2.00 m. (b) What is the distance between these minima if the diffraction pattern falls on a screen 1.00 m from the slit? (c) Discuss the ease or difficulty of measuring such a distance.
(a) As a soap bubble thins it becomes dark, 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 bubble can be and appear dark at all visible wavelengths? Assume the same index of refraction as water. (b) Discuss the fragility of the film considering the thickness found.
Newtons rings, discovered by Isaac Newton, are an interference pattern of dark and bright rings formed because of the air gap of increasing thickness w between a spherical surface and an adjoining flat surface (Example 36.2). Figure P36.55 shows a Newtons rings apparatus with a plano-convex lens with radius of curvature R atop a flat glass slab, both with index of refraction nglass. In the configuration shown, the seventh bright fringe has a radius of 1.10 cm. After the air gap in the apparatus is filled with an unknown liquid, the radius of the seventh fringe decreases to 0.968 cm. What is the index of refraction of the unknown liquid? FIGURE P36.55
(a) Find the angle of the third diffraction minimum for 633-nm light falling on a slit of width 20.0 m. (b) What slit width would place this minimum at 85.0°? Explicitly show how you follow the steps in Problem-Solving Strategies for Wave Optics
€37. (a) Show that a 30,000-line-per-centimeter grating will not produce a maximum for visible light. (b) What is the longest wavelength for which it does produce a first-order maximum? (c) What is the greatest number of lines per centimeter a diffraction grating can have and produce a complete second order spectrum for visible light?
A student and his lab partner create a single slit by carefully aligning two razor blades to a separation of 0.500 mm. When a helium-neon laser at 633 nm illuminates the slit, a diffraction pattern is observed on a screen 1.25 m beyond the slit. Calculate (a) the angle dark to the first minimum in the diffraction pattern and (b) the width of the central maximum.
Unreasonable Results (a) What visible wavelength has its fourth-order maximum at an angle of 25.0° when projected on a 25,000-line-per-centimeter diffraction grating? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
Many cells are transparent anti colorless. Structures of great interest in biology and medicine can be practically invisible to ordinary microscopy. To indicate the size and shape of cell structures, an interference micro-scope reveals a difference in index of refraction as a shift in interference fringes. The idea is exemplified in the following problem. An air wedge is formed between two glass plates in contact along one edge and slightly separated at the opposite edge as in Figure P37.37. When the plates are illuminated with monochromatic light from above, the reflected light has 85 dark fringes. Calculate the number of dark fringes that appear if water (n = 1.33) replaces the air between the plates.
(a) Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width 7.50 m. At what angle does it produces its second minimum? (b) What is the highest-order minimum produced?
Unreasonable Results Red light of wavelength of 700 nm falls on a double slit separated by 400 nm. (a) At what angle is the first-order maximum in the diffraction pattern? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
A student sets up a double-slit experiment using mono chromatic light of wavelength . The distance between the slits is equal to 25 . (a) Find the angles at which the m = 1, 2, and 3 maxima occur on the viewing screen. (b) At what angles do the first three dark fringes occur? (c) Why are the answers so evenly spaced? Is the spacing even for all orders? Explain.
A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence as shown in Figure P37.35. For what minimum nonzero value of the plate separation d is the transmitted light bright?