A hemisphere of radius R, made of glass of refractive index (3/2) is placed on 'the table. A point source of light is placed at a distance 2R from the centre, of hemisphere. If source is viewed diametrically opposite side of hemisphere. Find the position of image of source.

Explanation

Refraction due to first surface.
`(3/2)/v_(1) - 1/(-R) = (3/2 -1)/R implies v_(1)= -3R`
Refraction due to second surface.
`1/v - (3//2)/(-(3R + 2R)) = (1 - 3/2)/(-R)`
Position of image from the centre of hemisphere is at a distance 6R opposite side of source.