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A circular disc of radius 'R' is placed ...

A circular disc of radius 'R' is placed co-axially and horizontally inside and opaque hemispherical bowl of radius 'a', Fig. The far edge of the disc is just visible when viewed from the edge of the bowl. The bowl is filled with transparent liquid of refractive index `mu` and the near edge of the dise becomes just visible. How far below the top of the bowl is the disc placed ?
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