What Refraction Index Makes an Object Appear at Infinity in a Crystal Sphere?

[Emilia]

Homework Statement

Let’s say you have a transparent crystal sphere, on the far side you cast colored glass. By choosing the right refraction index, the image of glass corn would appear located at infinity (when you look from the other not colored side). Suggest a refraction index.

Homework Equations

object and image distance in spherical surface

n1/s + n2/s' = (n2-n1)/R

Where R is radius of the sphere
s = object distance
s' = image distance

The Attempt at a Solution

This is what I did:

n1/2R + n2/inf = (n2-n1)/R
and then solving n1/n2 and get a value..(not sure if this is the right way)

 

[Redbelly98]

Welcome to Physics Forums.

That looks like the correct method.