One of the round faces of a solid 3.25 m cylindrical plastic tube is covered with a thin black coating that completely blocks light. The opposite side is covered in a fluorescent coating that glows when light hits it. In the center of the black face, two parallel, straight and thin slits are made, 0.225 mm apart. When laser light with a wavelength of 632.8 nm and perpendicular to the black face passes through these slits, it is observed that the central bright band on the opposite face is 5.82 mm wide, measured between the dark bands that limit it to each side, What is the index of refraction of the plastic?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter27: Wave Optics
Section: Chapter Questions
Problem 23P: A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence...
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One of the round faces of a solid 3.25 m cylindrical plastic tube is covered with a thin black coating that completely blocks light. The opposite side is covered in a fluorescent coating that glows when light hits it. In the center of the black face, two parallel, straight and thin slits are made, 0.225 mm apart. When laser light with a wavelength of 632.8 nm and perpendicular to the black face passes through these slits, it is observed that the central bright band on the opposite face is 5.82 mm wide, measured between the dark bands that limit it to each side,

What is the index of refraction of the plastic?

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