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A transparent cylindrical rod of length $$l = 50$$ cm, radius $$R = 10$$ cm and refractive index $$\sqrt{3}$$ lies onto a horizontal plane surface. A ray of light moving perpendicular to its length is incident on the rod horizontally at a height h above the plane surface such that this ray emerges out of the rod at a height 10 cm above the plane surface. Therefore, h is
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