Physical Optics : Interference
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where r is angle of refraction for the ray in to the film and is angle of film. n is the order of ring.

For normal incidence ( r = 0 ) and small (if radius of plano convex is large), then    

                         (dark)

                        (bright)

from the geometry of (Fig.11.1.5)

                        

The radius on n'th dark or bright fringe is, therefore given by


Fig.11.1.5

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