An object `O` is stuck on the surface of a transparent solid spher of radius 20 cm.

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An object `O` is stuck on the surface of a transparent solid spher of radius 20 cm. Find refractive index of the sphere such that rays from the object after refraction from the opposite side emerge as a parallel beam, as shown Also prove that refractive index has the same value in the given situation for any value of radius of sphere.
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