Elisabeth coats a glass plate (index of refraction of 1.5) with a thin film of a material that has an index of refraction n = 1.36. When white light shines perpendicularly on the film, the reflected light from the surface appears green, with a wavelength of 557 nm. What is the thickness of the coating in nanometers? Please give your answer as a whole number.

Elisabeth coats a glass plate (index of refraction of 1.5) with a thin film of a material that has an index of refraction n = 1.36. When white light shines perpendicularly on the film, the reflected light from the surface appears green, with a wavelength of 557 nm. What is the thickness of the coating in nanometers? Please give your answer as a whole number.

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 23P: A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence...

See similar textbooks

Related questions

Q: Pro blem 9: Consider light passing from air into water. What is the ratio of its wavelength…

A: Write the expression for the refractive index. Here, c is the speed of light and v is the wave…

Q: An oil film floats on a water surface. The indexes of refraction for water and oil, respectively,…

Q: A rabbit trying to escape a fox runs north for 8.0 m, darts northwest for 1.0 m, then drops 1.0 m…

A: Given data: Distance traveled in north = 8.0 m Distance traveled in northwest = 1.0 m Distance…

Q: Laser light of wavelength 550 nm hits a glass block at an angle of 58 degrees from the surface of…

Q: A new type of transparent plastic has been developed. When light travels through it, it only travels…

A: Given data: The speed of light in plastic is v=2x107 m/s.

Q: A monochromatic beam of light in air has a wavelength of 589 nm in air. It passes through glass…

A: The wavelength of the light in the air The refractive index of glassThe refractive index of carbon…

Q: light of wavelength λ in a vacuum has a wavelength of 438 nm in water (n=1.33) and a wavelength of…

A: Consider the wavelength in the vacuum is, λ0 The wavelength in the water is λ1=438 nm Determine the…

Q: . What is the speed of light in water? In glycerine? The refractive index of light in water is 1.333…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: A beam of light is incident at 30° on a piece of glass in air. The dispersion of colours spans 1 mm…

A: Angle of incidence i=30°L=10 cmColor spam, x=1 mm=0.1 cmnred =1.513 Let us assume the angle of…

Q: A ray of light in air enters a 1.00-cm thick pane of glass at a 50° angle to the surface normal. The…

Q: A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency…

Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

Elisabeth coats a glass plate (index of refraction of 1.5) with a thin film of a material that has an
index of refraction n = 1.36. When white light shines perpendicularly on the film, the reflected
light from the surface appears green, with a wavelength of 557 nm. What is the thickness of the
coating in nanometers? Please give your answer as a whole number.

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

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

To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
Light is incident on a prism as shown in Figure P38.31. The prism, an equilateral triangle, is made of plastic with an index of refraction of 1.46 for red light and 1.49 for blue light. Assume the apex angle of the prism is 60.00. a. Sketch the approximate paths of the rays for red and blue light as they travel through and then exit the prism. b. Determine the measure of dispersion, the angle between the red and blue rays that exit the prism. Figure P38.31
Light enters a prism of crown glass and refracts at an angle of 5.00 with respect to the normal at the interface. The crown glass has a mean index of refraction of 1.51. It is combined with one flint glass prism (n = 1.65) to produce no net deviation. a. Find the apex angle of the flint glass. b. Assume the index of refraction for violet light (v = 430 nm) is nv = 1.528 and the index of refraction for red light (r = 768 nm) is nr = 1.511 for crown glass. For flint glass using the same wavelengths, nv = 1.665 and nr = 1.645. Find the net dispersion.
Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the H line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is held at a constant temperature. (a) Find the minimum value of d that produces maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.378. (b) What If? If the temperature of the filter increases above the normal value, increasing its thickness, what happens to the transmitted wavelength? (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light.
In each of the following situations, a wave passes through an opening in an absorbing wall. Rank the situations in order from the one in which the wave is best described by the ray approximation to the one ill which the wave coming through the opening spreads out most nearly equally in all directions in the hemisphere beyond the wall, (a) The sound of a low whistle at 1 kHz passes through a doorway 1 m wide, (b) Red light passes through the pupil of your eye. (c) Blue light passes through the pupil of your eye. (d) The wave broadcast by an AM radio station passes through a doorway 1 m wide, (e) An x-ray passes through the space between bones in your elbow Joint.
When light is incident normally on the interface between two transparent optical media, the intensity of the reflected light is given by the expression S1=(n2n1n2+n1)2S1 In this equation, S1 represents the average magnitude of the Poynting vector in the incident light (the incident intensity), S1 is the reflected intensity, and n1 and n2 are the refractive indices of the two media. (a) What fraction of the incident intensity is reflected for 589-nm light normally incident on an interface between air and crown glass? (b) Does it matter in part (a) whether the light is in the air or in the glass as it strikes the interface?
Impressionist painter Georges Seurat created paintings with an enormous number of dots of pure pigment, each of which was approximately 2.00 mm in diameter. The idea was to have colors such as red and green next to each other to form a scintillating canvas, such as in his masterpiece, A Sunday Afternoon on the Island of La Grande Jatte (Fig. P37.15). Assume = 500 nm and a pupil diameter of 5.00 mm. Beyond what distance would a viewer be unable to discern individual dots on the canvas? Figure P37.15
A goldfish is swimming inside a spherical bowl of water having an index of refraction n = 1.333. Suppose the goldfish is p = 10.0 cm from the wall of a howl of radius |R| = 15.0 cm. as in Figure P23.22. Neglecting the refraction of light caused by the wall of the bowl, determine the apparent distance of the goldfish from the wall according to an observer outside the bowl. Figure P23.22
A narrow beam of white light enters a prism made of crown glass at a 45.0° incident angle, as shown in Figure 25.57. At what angles, R and V, do the red (660 nm) and violet (410 nm) components of the light emerge from the prism? Figure 25.57 This prism will disperse the while light into a rainbow of colors. The incident angle is 45.0°, and the angles at which the red and violet light emerge are R and V.
An amateur astronomer wants to build a telescope with a diffraction limit that will allow him to see if there are people on the moons of Jupiter. (a) What diameter mirror is needed to be able to see 1.00-m detail on a Jovian moon at a distance of 7.50108 km from Earth? The wavelength of light averages 600 nm. (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
A horizontal laser beam of wavelength 632.8 nm has a circular cross section 2.00 nun in diameter. A rectangular aperture is to lie placed in the center of the beam so that when the light falls perpendicularly on a wall 4.50 m away, the central maximum fills a rectangle 110 mm wide and 6.00 mm high. The dimensions are measured between the minima bracketing the central maximum. Find the required (a) width and (b) height of the aperture. (c) Is the longer dimension of the central bright patch in the diffraction pattern horizontal or vertical? (d) Is the longer dimension of the aperture horizontal or vertical? (e) Explain the relationship between these two rectangles, using a diagram.
Unreasonable Results To save money on making military aircraft invisible to radar, an inventor decides to coat them with a non-reflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?