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THE DIAGRAM ATTACHED SHOWS A POINT OF LIGHT TO BE PLACED AT A DISTANCE R FROM THE SURFACE OF A SOLID OPAQUE SPHERE. THE REGION BETWEEN THE GROUND AND THE UPPER SURFACE OF THE SPHERE HAS BEEN FILLED WITH A LIQUID WITH A REFRACTIVE INDEX 3^1/2 . PROVE THAT THE AREA OF THE SHADOW ON THE GROUND ON THE GROUND WILL BE 2*pi*R^2. R IS THE RADIUS OF THE SPHERE.
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