# A point ‘O’ marked on the surface of a glass sphere of diameter 20 cm is viewed through glass from the position directly opposite to the point O. If the refractive index of the glass is 1·5, find the position of the image formed. Also, draw the ray diagram for the formation of the image.

We have given :

$u=-20,R=-10$

$\frac{n_{2}}{v}-\frac{n_{1}}{u}=\frac{n_{1}-n_{2}}{R}$

$\frac{1}{v}-\frac{3}{2(-20)}=\frac{\left ( 1- \frac{3}{2}\right )}{-10}$

$\frac{1}{v}=\frac{1}{20}-\frac{3}{40}=\frac{-1}{40}$

$v=-40$

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