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

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SUMMARY

The discussion focuses on determining the appropriate refraction index for a transparent crystal sphere to make an image appear at infinity when viewed from the opposite side. The relevant equation used is n1/s + n2/s' = (n2-n1)/R, where R represents the radius of the sphere, s is the object distance, and s' is the image distance. The user attempted to solve for the ratio n1/n2 using the values n1/2R and n2/inf, confirming that their approach is correct. This method effectively addresses the problem posed in the homework statement.

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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)
 
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That looks like the correct method.
 

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