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A beam of parallel rays from a laser is incident on a solid transparent sphere of index refraction n (see fig). If point image is produced at the

A beam of parallel rays from a laser is incident on a solid transparent sphere of index refraction n (see fig). If point image is produced at the back of the sphere, what is the index of refraction? What index of refraction, if any, will produce a point image at the center of sphere?
Please state what equations you use (if any).

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