University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 35, Problem 35.27E
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.
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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. Light of wavelength 545 nm falls at normal incidence onto the film from air. You want to increase the thickness of this film so that the reflected light cancels. (B)After you make the adjustment in part (a), what is the path difference between the light reflected off the top of the film and the light that cancels it after traveling through the film? Express your answer in nanometers . (C)Express your answer in wavelengths of the light in the TiO2 film.
A thin layer of oil with index of refraction no = 1.47 is floating above the water. The index of refraction of water is nw = 1.3. The index of refraction of air is na = 1. A light with wavelength λ = 325 nm goes in from the air to oil and water.
Part (a) Express the wavelength of the light in the oil, λo, in terms of λ and no.
Part (b) Express the minimum thickness of the film that will result in destructive interference, tmin, in terms of λo. Part (c) Express tmin in terms of λ and no. Part (d) Solve for the numerical value of tmin in nm.
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?
Chapter 35 Solutions
University Physics (14th Edition)
Ch. 35 - A two-slit interference experiment is set up, and...Ch. 35 - Could an experiment similar to Youngs two-slit...Ch. 35 - Monochromatic coherent light passing through two...Ch. 35 - In a two-slit interference pattern on a distant...Ch. 35 - Would the headlights of a distant car form a...Ch. 35 - The two sources S1 and S2 shown in Fig. 35.3 emit...Ch. 35 - Could the Young two-slit interference experiment...Ch. 35 - Coherent red light illuminates two narrow slits...Ch. 35 - Coherent light with wavelength falls on two...Ch. 35 - Prob. Q35.10DQ
Ch. 35 - If the monochromatic light shown in Fig. 35.5a...Ch. 35 - In using the superposition principle to calculate...Ch. 35 - Prob. Q35.13DQCh. 35 - A very thin soap film (n = 1.33), whose thickness...Ch. 35 - Interference can occur in thin films. Why is it...Ch. 35 - If we shine while light on an air wedge like that...Ch. 35 - Prob. Q35.17DQCh. 35 - When a thin oil film spreads out on a puddle of...Ch. 35 - Section 35.1 Interference and Coherent Sources...Ch. 35 - Two speakers that are 15.0 m apart produce...Ch. 35 - A radio transmitting station operating at a...Ch. 35 - Radio Interference. Two radio antennas A and B...Ch. 35 - Prob. 35.5ECh. 35 - Two light sources can be adjusted to emit...Ch. 35 - Section 35.2 Two-Source Interference of Light...Ch. 35 - Coherent light with wavelength 450 nm falls on a...Ch. 35 - Two slits spaced 0.450 mm apart are placed 75.0 cm...Ch. 35 - If the entire apparatus of Exercise 35.9 (slits,...Ch. 35 - Two thin parallel slits that are 0.0116 mm apart...Ch. 35 - Coherent light with wavelength 400 nm passes...Ch. 35 - Two very narrow slits are spaced 1.80 m apart and...Ch. 35 - Coherent light that contains two wavelengths. 660...Ch. 35 - Coherent light with wavelength 600 nm passes...Ch. 35 - Coherent light of frequency 6.32 1014 Hz passes...Ch. 35 - In a two-slit interference pattern, the intensity...Ch. 35 - Coherent sources A and B emit electromagnetic...Ch. 35 - Coherent light with wavelength 500 nm passes...Ch. 35 - Two slits spaced 0.260 mm apart are 0.900 m from a...Ch. 35 - Consider two antennas separated by 9.00 m that...Ch. 35 - Two slits spaced 0.0720 mm apart are 0.800 m from...Ch. 35 - What is the thinnest film of a coating with n =...Ch. 35 - Nonglare Glass. When viewing a piece of art that...Ch. 35 - Two rectangular pieces of plane glass are laid one...Ch. 35 - A place of glass 9.00 cm long is placed in contact...Ch. 35 - A uniform film of TiO2, 1036 nm thick and having...Ch. 35 - A plastic film with index of refraction 1.70 is...Ch. 35 - The walls of a soap bubble have about the same...Ch. 35 - A researcher measures the thickness of a layer of...Ch. 35 - Prob. 35.31ECh. 35 - What is the thinnest soap film (excluding the case...Ch. 35 - How far must the mirror M2 (see Fig. 35.19) of the...Ch. 35 - Jan first uses a Michelson interferometer with the...Ch. 35 - One round face of a 3.25-m, solid, cylindrical...Ch. 35 - Newtons rings are visible when a planoconvex lens...Ch. 35 - BIO Coating Eyeglass Lenses. Eyeglass lenses can...Ch. 35 - BIO Sensitive Eyes. After an eye examination, you...Ch. 35 - Two flat plates of glass with parallel faces are...Ch. 35 - In a setup similar to that of Problem 35.39, the...Ch. 35 - Suppose you illuminate two thin slits by...Ch. 35 - CP CALC A very thin sheet of brass contains two...Ch. 35 - Two radio antennas radiating in phase are located...Ch. 35 - Prob. 35.44PCh. 35 - CP A thin uniform film of refractive index 1.750...Ch. 35 - GPS Transmission. The GPS (Global Positioning...Ch. 35 - White light reflects at normal incidence from the...Ch. 35 - Laser light of wavelength 510 nm is traveling in...Ch. 35 - Red light with wavelength 700 nm is passed through...Ch. 35 - BIO Reflective Coatings and Herring. Herring and...Ch. 35 - After a laser beam passes through two thin...Ch. 35 - DATA In your summer job at an optics company, you...Ch. 35 - DATA Short-wave radio antennas A and B are...Ch. 35 - DATA In your research lab, a very thin, flat piece...Ch. 35 - CP The index of refraction of a glass rod is 1.48...Ch. 35 - CP Figure P35.56 shows an interferometer known as...Ch. 35 - INTERFERENCE AND SOUND WAVES. Interference occurs...Ch. 35 - The professor returns the apparatus to the...Ch. 35 - The professor again returns the apparatus to its...Ch. 35 - The professor once again returns the apparatus to...
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