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# A transparent thin film of uniform thickness and refractive index is coated on the convex spherical surface of radius R at one end of a long solid glass cylinder of refractive index , as shown in figure. Rays of light parallel to the axis of the cylinder traversing through the film from air to glass get focused at distance f_{1} from the film, while rays of light traversing from glass to air get focused at distacnce f_{2} from the film. Then

## The correct answer is:

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