Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 40, Problem 35SP
Green light of wavelength 500 nm is incident normally on a grating, and the second-order image is diffracted 32.0° from the normal. How many lines/cm are marked on the grating?
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The Michelson interferometer can be used to measure the index of refraction of a gas by placing an evacuated transparent tube in the light path along one arm of the device. Fringe shifts occur as the gas is slowly added to the tube. Assume 600.-nm light is used, the tube is 5.00 cm long, and 160 fringe shifts occur as the pressure of the gas in the tube increases to atmospheric pressure. What is the index of refraction of the gas? Hint: The fringe shifts occur because the wavelength of the light changes inside the gas-filled tube.
Two point sources of light are separated by 5.5 cm
a. As viewed through a 13 μmμm diameter pinhole, what is the maximum distance from which they can be resolved if red light ( λλ = 690 nmnm) is used?
b. If violet light ( λλ = 420 nmnm ) is used?
A glass sheet 1.10 μm thick is suspended in air. In reflected light, there are gaps in the visible spectrum at 573 nm and 645.00 nm. Calculate the minimum value of the index of refraction ?n of the glass sheet that produces this effect.
?=
Chapter 40 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 40 - 40.16 [I] Considering Young’s experiment using...Ch. 40 - Prob. 17SPCh. 40 - Prob. 18SPCh. 40 - Prob. 19SPCh. 40 - Prob. 20SPCh. 40 - 21. Suppose we have Young’s double-slit setup with...Ch. 40 - Prob. 22SPCh. 40 - Prob. 23SPCh. 40 - Prob. 24SPCh. 40 - 40.25 [II] Two sound sources send identical waves...
Ch. 40 - Prob. 26SPCh. 40 - 40.27 [I] A double-slit experiment is done in the...Ch. 40 - 40.28 [I] In Problem 40.27, if the slit-to-screen...Ch. 40 - 40.29 [I] Red light of wavelength 644 nm, from a...Ch. 40 - 40.30 [I] Two flat glass plates are pressed...Ch. 40 - Prob. 32SPCh. 40 - Prob. 33SPCh. 40 - Prob. 34SPCh. 40 - 40.35 [II] Green light of wavelength 500 nm is...Ch. 40 - 40.36 [II] A narrow beam of yellow light of...Ch. 40 - 40.37 [II] Blue light of wavelength m is...Ch. 40 - 40.38 [II] Determine the ratio of the wavelengths...Ch. 40 - 40.39 [II] A spectrum of white light is obtained...Ch. 40 - Prob. 40SPCh. 40 - Prob. 41SP
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- 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_forwardFigure P36.53 shows two thin glass plates separated by a wire with a square cross section of side length w, forming an air wedge between the plates. What is the edge length w of the wire if 42 dark fringes are observed from above when 589-nm light strikes the wedge at normal incidence? FIGURE P36.53arrow_forwardFigure CQ27.4 shows an unbroken soap film in a circular frame. The film thickness increases from top to bottom, slowly at first and then rapidly. As a simpler model, consider a soap film (n = 1.33) contained within a rectangular wire frame. The frame is held vertically so that the film drains downward and forms a wedge with flat faces. The thickness of the film at the top is essentially zero. The film is viewed in reflected white light with near-normal incidence, and the first violet ( = 420 nm) interference band is observed 3.00 cm from the top edge of the film. (a) Locate the first red ( = 680 nm) interference band. (b) Determine the film thickness at the positions of the violet and red bands. (c) What is the wedge angle of the film?arrow_forward
- A parallel beam of light containing orange (610 nm) and violet (4.10wm) wavelengths goes from fused quartz to water, striking the surface between them at a 60.00 incident angle. What is the angle between the two colors in water?arrow_forwardWhat visible wave length will be reflected in this scenario: A 700 nm thick soap film floats on a plate. From the air, white light is struck onto the film at a normal incidence. the wavelength of visible light to air is 400 nm to 700 nm. The index of the soap film is 1.74 and 1.58 for the plate.arrow_forwardA sheet of paper 0.014 cm thick separates two sheets of glass to form an air wedge 16.5 cm long. When the air wedge is illuminated with monochromatic light, the distance between the centers of the first and eighth dark bands is 2.3 mm. Determine the wavelength of the light, in nm,arrow_forward
- A soap film of refractive indes 1.34 appears yellow (λ = 5.80 x 10^2 nm) when viewed directly from the same side as the source of light. Calculate two possible values for the thickness of the film.arrow_forwardThe Michelson interferometer can be used to measure the index of refraction of a gas by placing an evacuated transparent tube in the light path along one arm of the device. Fringe shifts occur as the gas is slowly added to the tube. Assume 610-nm light is used, the tube is 5.40 cm long, and 168 bright fringes pass on the screen as the pressure of the gas in the tube increases to atmospheric pressure. What is the index of refraction of the gas? Hint: The fringe shifts occur because the wavelength of the light changes inside the gas-filled tube. (Give your answer to at least five decimal places.)arrow_forwardA beam of light consists of two wavelengths, 590.159 nm and 590.220 nm, that are to be resolved with a diffraction grating. If the grating has lines across a width of 3.80 cm, what is the minimum number of lines required for the two wavelengths to be resolved in the second order?arrow_forward
- A thin sheet of transparent material has an index of refraction of 1.40 and is 15.0 µm thick. When it is inserted in the light path along one arm of an interferometer, how many fringe shifts occur in the pattern? Assume the wavelength (in a vac- uum) of the light used is 600 nm. Hint: The wavelength will change within the material.arrow_forwardA certain kind of glass has an index of refrac- tion of 1.646 for blue light of wavelength 430 nm and an index of 1.611 for red light of wave length 680 nm. A beam containing these two colors is incident at an angle of 36.81◦ on a piece of this glass. What is the angle between the two beams inside the glass? Answer in units of ◦. The answer isn’t 0.48arrow_forwardThe Michelson interferometer can be used to measure the index of refraction of a gas by placing an evacuated transparent tube in the light path along one arm of the device. Fringe shifts occur as the gas is slowly added to the tube. Assume 580-nm light is used, the tube is 5.40 cm long, and 152 fringe shifts occur as the pressure of the gas in the tube increases to atmospheric pressure. What is the index of refraction of the gas? Hint: The fringe shifts occur because the wavelength of the light changes inside the gas-filled tube. (Give your answer to five decimal places.) 4.0arrow_forward
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