Question

The cornea of the eye has a radius of curvature of approximately 0.40 cm , and the aqueous humor behind it has an index of refraction of 1.35. The thickness of the cornea itself is small enough that we shall neglect it. The depth of a typical human eye is around 25.0 mm .

a. What would have to be the radius of curvature of the cornea so that it alone would focus the image of a distant mountain on the retina, which is at the back of the eye opposite the cornea?

Express your answer using two significant figures.

Answer 1

Image and object relationship in spherical reflecting surfaces:

Where,
Refracting index of the aqueous humor
Refracting index of the air
Image distance from the spherical point
Object distance from the spherical point because image of mountain is considered as it is at distance that's why infinity
Curvature of radius

Therefore. 6.48 mm is the radius of curvature of the cornea so that it alone would focus the image of a distant mountain on the retina.