Concept explainers
A uniform film of TiO2, 1036 nm thick and having index of refraction 2.62, is spread uniformly over the surface of crown glass of refractive index 1.52.
Want to see the full answer?
Check out a sample textbook solutionChapter 35 Solutions
University Physics with Modern Physics (14th Edition)
- Both sides of a uniform film that has index of refraction n and thickness d are in contact with air. For normal incidence of light, an intensity minimum is observed in the reflected light at λ2 and an intensity maximum is observed at λ1, where λ1 > λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in Equations 27.13 and 27.14 in terms of the wavelengths λ1 and λ2. (b) Assuming n = 1.40, λ1 = 500 nm, and λ2 = 370 nm, determine the best estimate for the thickness of the film.arrow_forwardLight 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.arrow_forwardTo 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?arrow_forward
- White light is incident from air onto a triangular prism at a 55.0º angle with respect to the normal. The prism has an index of refraction of 1.45 for red light and 1.50 for violet light and the apex angle of the prism is 60º. Take nair=1.00 for all wavelengths.a) What is the angular separation (dispersion angle) of the two ends of the visible spectrum while in the prism? b) What is the angular separation (dispersion angle) of the two ends of the visible spectrum upon exiting the prism?arrow_forwardLaser light of wavelength 460 nmnm is traveling in air and shines at normal incidence onto the flat end of a transparent plastic rod that has nn = 1.30. The end of the rod has a thin coating of a transparent material that has refractive index 1.75. a)What is the minimum (nonzero) thickness of the coating for which there is maximum transmission of the light into the rod? b)What is the minimum (nonzero) thickness of the coating for which transmission into the rod is minimized?arrow_forwardThe indices of refraction of the core and cladding of an optical fiber are 1.5 and 1.40, respectively. Light is incident at the core at 70°. What is the distance between two successive reflections in the core if its diameter is 0.05nm?arrow_forward
- The answer is wrong and it is not lamda/4n. Please helparrow_forwardLaser light of wavelength 510 nm is traveling in air and shines at normal incidence onto the flat end of a transparent plastic rod that has n = 1.30. The end of the rod has a thin coating of a transparent material that has refractive index 1.65. What is the minimum (nonzero) thickness of the coating (a) for which there is maximum transmission of the light into the rod; (b) for which transmission into the rod is minimized?arrow_forwardA light beam strikes a piece of glass with an incident angle of 45.00°. The beam contains two colors: 450.0 nm and an unknown wavelength. The index of refraction for the 450.0-nm light is 1.482. Assume the glass is surrounded by air, which has an index of refraction of 1.000. Determine the index of refraction n, for the unknown wavelength if its refraction angle is 0.6950° greater than that of the 450.0 nm light.arrow_forward
- A CD is read by a semiconductor laser that emits a light with a wavelength of 798nm in air. The beam passes through a plastic substrate of refractive index 1.9. When half the beam illuminates a pit in the disc, part of the beam is reflected from the pit and the other part from the flat plateau between the pits, so that these two parts of the steel extinguish each other. What must the minimum pit depth be so that the part of the beam reflected from a pit extinguishes the part of the beam reflected from the flat plateau?arrow_forwardA thin layer of oil with index of refraction n, = 1.47 is floating above the water. The index of refraction of water is n, =1.3. The index of refraction of air is n, = 1. A light| with wavelength À = 725 nm goes in from the air to oil and water. (a) Express the wavelength of the light in the oil, d,, in terms of å and n„. n. n. n. (b) Express the minimum thickness of the film that will result in destructive interference, fmin, in terms of 7g. (c) Express 1min in terms of 2 and n,. (d) Solve for the numerical value of tmin in nm.arrow_forwardThe index of refraction of a glass plate is 1.52. What is the Brewster’s angle when the plate is: In air, where nair = 1.00 In water, where nwater = 1.333arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax