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A jar of height h is filled with a transparent liquid of refractive index μ (Fig. 9.6). At the centre of the jar on the bottom surface is a dot. Find the minimum diameter of a disc, such that when placed on the top surface symmetrically about the centre, the dot is invisible.

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Let d be the diameter of the disc. The spot shall be invisible if the incident rays from the dot at O to the surface at d/2 are at the critical angle.

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