University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 3, Problem 15CQ
Describe how a Michelson interferometer can be used to measure the index of refraction of a gas (including air).
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University Physics Volume 3
Ch. 3 - Check Your Understanding In the system used in the...Ch. 3 - Check Your Understanding Going further with...Ch. 3 - Check Your Understanding Although m, the number of...Ch. 3 - Young’s double-slit experiment breaks a single...Ch. 3 - Is it possible to create a experimental setup in...Ch. 3 - Why won’t two small sodium lamps, held close...Ch. 3 - Suppose you use the same double slit to perform...Ch. 3 - Why is monochromatic light used in the double slit...Ch. 3 - What effect does increasing the wedge angle have...Ch. 3 - How is the difference in paths taken by two...
Ch. 3 - Is there a phase change in the light reflected...Ch. 3 - In placing a sample on a microscope slide, a glass...Ch. 3 - Answer the above question if the fluid between the...Ch. 3 - While contemplating the food value of a slice of...Ch. 3 - An inventor notices that a soap bubble is dark at...Ch. 3 - A nonreflective coating like the one described in...Ch. 3 - Why is it much more difficult to see interference...Ch. 3 - Describe how a Michelson interferometer can be...Ch. 3 - At what angle is the first-order maximum for...Ch. 3 - Calculate the angle for the third-order maximum of...Ch. 3 - What is the separation between two slits for which...Ch. 3 - Find the distance between two slits that produces...Ch. 3 - Calculate the wavelength of light that has its...Ch. 3 - What is the wavelength of light falling on double...Ch. 3 - At what angle is the fourth-order maximum for the...Ch. 3 - What is the highest-order maximum for 400-nm light...Ch. 3 - Find the largest wavelength of light falling on...Ch. 3 - What is the smallest separation between two slits...Ch. 3 - (a) What is the smallest separation between two...Ch. 3 - (a) If the first-order maximum for monochromatic...Ch. 3 - Shown below is a double slit located a distance x...Ch. 3 - Using the result of the preceding problem, (a)...Ch. 3 - Using the result of the problem two problems...Ch. 3 - In a double-slit experiment, the fifth maximum is...Ch. 3 - The source in Young’s experiment emits at two...Ch. 3 - If 500-nm and 650-nm light illuminates two slits...Ch. 3 - Red light of wavelength of 700 nm falls on a...Ch. 3 - Ten narrow slits are equally spaced 0.25 mm apart...Ch. 3 - The width of bright fringes can be calculated as...Ch. 3 - For a three-slit interference pattern, find the...Ch. 3 - What is the angular width of the central fringe of...Ch. 3 - A soap bubble is 100 nm thick and illuminated by...Ch. 3 - An oil slick on water is 120 nm thick and...Ch. 3 - Calculate the minimum thickness of an oil slick on...Ch. 3 - Find the minimum thickness of a soap bubble that...Ch. 3 - A film of soapy water (n=1.33) on top of a plastic...Ch. 3 - What are the three smallest non-zero thicknesses...Ch. 3 - Suppose you have a lens system that is to be used...Ch. 3 - (a) As a soap bubble thins it becomes dark,...Ch. 3 - To save money on making military aircraft...Ch. 3 - A Michelson interferometer has two equal arms. A...Ch. 3 - What is the distance moved by the traveling mirror...Ch. 3 - When the traveling mirror of a Michelson...Ch. 3 - In a Michelson interferometer, light of wavelength...Ch. 3 - A chamber 5.0 cm long with flat, parallel windows...Ch. 3 - For 600-nm wavelength light and a slit separation...Ch. 3 - If the light source in the preceding problem is...Ch. 3 - Red light (=710.nm) illuminates double slits...Ch. 3 - Two sources as in phase and emit waves with =0.42...Ch. 3 - Two slits 4.0106 m apart are illuminated by light...Ch. 3 - Suppose that the highest order fringe that can be...Ch. 3 - The interference pattern of a He-Ne laser light...Ch. 3 - Young’s double-slit experiment is performed...Ch. 3 - A double-slit experiment is to be set up so that...Ch. 3 - An effect analogous to two-slit interference can...Ch. 3 - A hydrogen gas discharge lamp emits visible light...Ch. 3 - Monochromatic light of frequency 5.51014 Hz falls...Ch. 3 - Eight slits equally separated by 0.149 mm is...Ch. 3 - Eight slits equally separated by 0.149 mm is...Ch. 3 - A transparent film of thickness 250 nm and index...Ch. 3 - An intensity minimum is found for 450 nm light...Ch. 3 - A thin film with n=1.32 is surrounded by air. What...Ch. 3 - Repeat your calculation of the previous problem...Ch. 3 - After a minor oil spill, a think film of oil...Ch. 3 - A microscope slide 10 cm long is separated from a...Ch. 3 - Suppose that the setup of the preceding problem is...Ch. 3 - A thin wedge filled with air is produced when two...Ch. 3 - Two identical pieces of rectangular plate glass...Ch. 3 - Two microscope slides made of glass are...Ch. 3 - A good quality camera “lens” is actually a system...Ch. 3 - Constructive interference is observed from...Ch. 3 - A soap bubble is blown outdoors. What colors...Ch. 3 - A Michelson interferometer with a He-Ne laser...Ch. 3 - An experimenter detects 251 fringes when the...Ch. 3 - A Michelson interferometer is used to measure the...Ch. 3 - A 5.08-cm-long rectangular glass chamber is...Ch. 3 - Into one arm of a Michelson interferometer, a...Ch. 3 - The thickness of an aluminum foil is measured...Ch. 3 - The movable mirror of a Michelson interferometer...Ch. 3 - In a thermally stabilized lab, a Michelson...Ch. 3 - A 65-fringe shift results in a Michelson...Ch. 3 - Determine what happens to the double-slit...Ch. 3 - Fifty-one narrow slits are equally spaced and...Ch. 3 - A film of oil on water will appear dark when it is...Ch. 3 - Figure 3.14 shows two glass slides illuminated by...Ch. 3 - Figure 3.14 shows two 7.50-cm-long glass slides...Ch. 3 - A soap bubble is 100 nm thick and illuminated by...Ch. 3 - An oil slick on water is 120 nm thick and...
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- A soap bubble is blown outdoors. What colors (indicate by wavelengths) of the reflected sunlight are seen enhanced? The soap bubble has index of refraction 1.36 and thickness 380 nm.arrow_forwardFind the wavelength of light that has its third minimum at an angle of 48.6° when it falls on a single slit of width 3.00 m.arrow_forwardExplain how microscopes can use wave optics to improve contrast and why this is important.arrow_forward
- While using a Michelson interferometer (shown in Fig. 37.13), you see a dark circle at the center of the interference pattern, (i) As you gradually move the light source toward the central mirror M0, through a distance /2, what do you see? (a) There is no change in the pattern, (b) The dark circle changes into a bright circle. (c) The dark circle changes into a bright circle and then back into a dark circle. (d) The dark circle changes into a bright circle, then into a dark circle, and then into a bright circle. (ii) As you gradually move the moving mirror toward the central mirror M0, through a distance /2, what tit) you see? Choose from the same possibilities.arrow_forwardA source of light having two wavelengths 550 nm and 600 nm of equal intensity is incident on a slit of width 1.8 m. Find the separation of the m=1 bright spots of the two wavelengths on a screen 30.0 cm away.arrow_forwardFind the wavelength of light that has its third minimum at an angle of 48.6° when it falls on a single slit of width 3.00m.arrow_forward
- A 65-fringe shift results in a Michelson interferometer when a 42.0-µm film made of an unknown material is placed in one arm. The light source has wavelength 632.9 nm. Identify the material using the indices of refraction found in Table 1.1.arrow_forwardCalculate the wavelength of light that produces its first minimum at an angle of 36.9° when falling on a single slit of width 1.00 m.arrow_forwardCalculate the wavelength of light that has its third minimum at an angle of 30.0° when falling on double slits separated by 3.00 m. Explicitly show how you follow the steps from the Problem-Solving Strategy: Wave Optics, located at the end of the chapter.arrow_forward
- Verify that the critical angle for light going from water to air is 48.6°, as discussed at the end of Example 1.4, regarding the critical angle for lig1it traveling in a polystyrene (a type of plastic) pipe surrounded by air.arrow_forwardConsider a common mirage formed by superheated air immediately above a roadway. A truck driver whose eyes are 2.00 m above the road, where n = 1.000 293, looks forward. She perceives the illusion of a patch of water ahead on the road. The road appears wet only beyond a point on the road at which her line of sight makes an angle of 1.20 below the horizontal. Find the index of refraction of the air immediately above the road surface.arrow_forwardCalculate the wavelength of light that has its third minimum at an angle of 30.0° when falling on double slits separated by 3.00 m. Explicitly, show how you follow the steps in Problem-Solving Strategies for Wave Optics.arrow_forward
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