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 |