Newton’s rings are viewed both with the space between lens and optical flat empty and filled with a liquid. Show that the ratio of the radii observed for a particular order fringe is very nearly the square root of the liquid’s refractive index.

University Physics Volume 3
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ISBN:9781938168185
Author:William Moebs, Jeff Sanny
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Chapter3: Interference
Section: Chapter Questions
Problem 29P: Using the result of the preceding problem, (a) calculate the distance between fringes for 633-nm...
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Newton’s rings are viewed both with the space between lens and optical flat empty and filled with a liquid.
Show that the ratio of the radii observed for a particular order fringe is very nearly the square root of the liquid’s refractive index.

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