Image formed by a transparent sphere

A transparent sphere of radius R and refractive index of u is kept in air. At what distance from the surface of sphere should a point object be placed so as to form real image at same distance from sphere?

Regards,
shivendu

[R / (u-1)] - R

Try yourself with lensmakers formula
The optic centre is at the centre of the sphere. SO the surface is already at a distance R from the optic centre.

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