The cornea behaves as a thin lens of focal length approximately 1.8 cm, although this varies a bit. The material of which it is made has an index of refraction of 1.38, and its front surface is convex, with a radius of curvature of 5.0 mm.

(a) If this focal length is in air, what is the radius of curvature of the back side of the cornea?

(b) The closest distance at which a typical person can focus on an object (called the near point) is about 25 cm, although this varies considerably with age. Where would the cornea focus the image of an 8.0-mm-tall object at the near point?

(c) What is the height of the image in part (b)? Is this image real or virtual? Is it erect or inverted?