CD floating in milk

Classical Mechanics Level pending

An opaque disc of diameter 66 mm 66\text{ mm} is floating on a liquid of refractive index 5 \sqrt 5 . The liquid is filled in a wide vessel to a depth of 3.3 cm 3.3\text{ cm} . A point source of light is held in the air above the center of the disc at height 3.3 cm 3.3\text{ cm} above it.

Determine the diameter (in mm \text{mm} ) of the shadow formed on the bottom of the vessel.


The answer is 88.

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