The figure, shows a transparent sphere of radius \( \mathrm{R} \) a...

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The figure, shows a transparent sphere of radius \( \mathrm{R} \) and refractive index \( \mu \). An object \( \mathrm{O} \) is placed at a distance \( \mathrm{x} \) from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface.
P
If an object is placed at a distance \( \mathrm{R} \) from the pole of first surface, then the real image is formed at a distance \( R \) from the pole of the second surface. The refractive index \( \mu \) of the sphere is given by
(A) 1.5
(B) 2
(C) \( \sqrt{2} \)
(D) none of these
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