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A transparent solid sphere of radius 2 cm and density p floats in a transparent liquid of density 2rho kept in a beaker. The bottom of the beaker is spherical in shape with its radius of curvature 8 cm and is silvered to make it a concave mirror as shown in Fig. When an object is placed a 10 cm directly above the centre of the sphere its final image coincide with it. If 'h' is the height of liquid surface from the apex of the bottom as shown in figure. Consider paraxial rays only for image formation. The refractive index of the sphere is 3/2 and that of the liquid is 4/3 .Answer the following questions.The value of h is (nearly equal to)

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8cm
9cm
14cm
15cm

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