Question

Establish a relation between object distance image distance radius of curvature

Answer 1

object distance is the distance of the object from the focus and image distance is the distance of the image from focus and radius of curvature is the radius of the sphere from which sphere is a part.

Answer 2

focal length = f
radius of curvature = r
image distance = u
object distance = v

1/v + 1/u = 1/f
1/v + 1/u = 1/(r/2)
:. 1/v + 1/u = 2/r [Answer]