University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Chapter 3, Problem 52P
A chamber 5.0 cm long with flat, parallel windows at the ends is placed in one arm of a Michelson interferometer (see below). The light used has a wavelength of 500 nm in a vacuum. While all the air is being pumped out of the chamber, 29 fringes pass by a point on the observation screen. What is the refractive index of the air?
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In one arm of a Michelson interferometer is a transparent container initially full of air, with internal length 6.76 cm in the beam direction. The container is slowly filled with a liquid, and you notice 105986 bright fringes on the photodiode at the interferometer output. If you are using laser light with wavelength 554 nm, what is the refractive index of the liquid? The refractive index of air at this wavelength can be taken as 1.0003. [Aside: you would need to have a slight tilt in the laser beam relative to the liquid surface, but this does not affect your result. ]
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 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.)
A transparent cylinder is placed in one of the arms of a Michelson interferometer and evacuated by a pump, as shown in the figure. A laser with light of wavelength λ₁ passes through the interferometer, and its arms are adjusted so that a bright fringe is seen in the detector. A certain volume of hydrogen gas is then slowly introduced into the cylinder, changing the refractive index inside. In the process, N light-dark-light transitions are counted in the detector. The laser is then exchanged for one with light of wavelength λ₂, and the cylinder begins to evacuate again. How many complete light-dark-light transitions will be seen in the detector until vacuum is re-established in the cylinder?
Chapter 3 Solutions
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...
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