A piece of curved glass has a radius of curvature of r

Chapter 27, Problem 27.67

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A piece of curved glass has a radius of curvature of r 10.0 m and is used to form Newtons rings, as in Figure 27.13. Not counting the dark spot at the center of the pattern, there are one hundred dark fringes, the last one being at the outer edge of the curved piece of glass. The light being used has a wavelength of 654 nm in vacuum. What is the radius R of the outermost dark ring in the pattern? (Hint: Note that r is much greater than R, and you may assume that tan for small angles, where must be expressed in radians.) *

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