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A circular disc of diameter d lies horizontally inside a metallic hemispherical bowl of radius 'a'. The disc is just visible to an eye looking over the edge. The bowl is now filled with a liquid of refractive index u. Now the whole of the disc is just visible to the eye in same posn. . Show that d = 2a ( u^2 - 1) / (u^2 + 1)


 A circular disc of diameter d lies horizontally inside a metallic hemispherical bowl of radius 'a'. The disc is just visible to an eye looking over the edge. The bowl is now filled with a liquid of refractive index u. Now the whole of the disc is just visible to the eye in same posn. . Show that 

 
                                                              d = 2a ( u^2 - 1) / (u^2 + 1)


Grade:10

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