University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 3, Problem 84AP
Into one arm of a Michelson interferometer, a plastic sheet of thickness 75 μm is inserted, which causes a shift in the interference pattern by 86 fringes. The light source has wavelength of 610 nm in air. What is the index of refraction of this plastic?
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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 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 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.
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 vacuum) of the light used is 600 nm. Hint: The wavelength will change within the material.
Chapter 3 Solutions
University Physics Volume 3
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