A piece of curved glass has a radius of curvature of r = 10.0 m and is used to form Newton's 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?
Figure 27.13

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(a) (b)