A small object stuck on the surface of a glass sphere `(n=1.5)` is viewed from the diametrically opposite position. Find transverse magnification.

Explanation

Refraction will take place at side II of the surface
`(mu_2)/(v ) - (mu _1)/(u ) = (mu_2 -mu_1)/( R)`

Here `mu_1, = 1.5, mu_2 , = 1 and u=-2R `
`(1)/(v ) - (1.5)/((-2R)) =(1-1.5 )/(-R)`
` (1)/(v) = (0.5 )/(R ) -(1.5)/( 2R ) = (-0.5 )/(2R) or v=-4R `
Negative sign indicates that the image is formed to the left of refracting surface as shown.
Magnification ` m= (mu_1 v)/(mu_2 u ) =(1.5 (-4R))/( 1(-2R))`
` therefore m=3`