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  4. A point object is placed at the centre of a glass sphere of radius 6 cm and refractive index 1.5 . The distance of the virtual image from the surface of the sphere is

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Q. A point object is placed at the centre of a glass sphere of radius $6\, cm$ and refractive index $1.5 .$ The distance of the virtual image from the surface of the sphere is

Ray Optics and Optical Instruments

Solution:

$\frac{\mu_{2}}{v}-\frac{\mu_{1}}{u}=\frac{\mu_{2}-\mu_{1}}{R}$
$\mu_{2}=1.5, \mu_{1}=1, u=-6\, cm , R=-6\, cm$
$\frac{1.5}{v}-\frac{1}{(-6)}=\frac{1.5-1}{(-6)} \Rightarrow v=-6\, cm$