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Easy
Question
A transparent solid sphere of radius 2 cm and density 
floats in a transparent liquid of density 
kept in a beaker. The bottom of the beaker is spherical in shape with its radius of anvature 8 cm and is silvered to make it a concave mirror as shown in Fig. When an abject is placed at a distance of 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 
and that of the liquid is 
.
The value of 
is (nearly equal to)
- 8 cm
- 9 cm
- 14 cm
- 15 cm.
The correct answer is: 15 cm.
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A transparent solid sphere of radius 2 cm and density floats in a transparent liquid of density kept in a beaker. The bottom of the beaker is spherical in shape with its radius of anvature 8 cm and is silvered to make it a concave mirror as shown in Fig. When an abject is placed at a distance of 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 and that of the liquid is .
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