8 A hemispherical portion of the surface of a solid glass sphere of refractive index 1 5 and of radius r is silvered to make the

Question

8 A hemispherical portion of the surface of a solid glass sphere of refractive index 1 5 and of radius r is silvered to make the inner side reflecting An object is placed at the axis of the sphere at a distance 3r from the center of the sphere The light from the object is refracted at the unsilvered part then reflected from the silvered part and again refracted at the unsilvered part Locate the final image formed Solution 1 5 For first refraction at the unsilvered surface we have V So V r r i e rays become parallel to the principal axis Hence the image formed by the curved mirror will lie at the focus of the mirror i e a distance from pole of mirror from pole of the mirror For second refraction at the unsilvered surface we have 1 1 5 1 V 2r r 1 5 V 48 1 1 5 1 V 2R O

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