Question

A paperweight in the form of a hemisphere of radius $3.0cm$ is used to hold down a printed page. An observer looks at the page vertically through the paperweight. if the paperweight is inverted at its place so that the spherical surface touches the paper.

Answer 1

Tickness of glass $=3cm{\mu }_g=1.5$

Image shift $=3(1-\frac{1}{1.5})$

[Treating it as a simple refraction problem because the upper surface is flat and the spherical surface is in contact with the object]

$=3\times \frac{0.5}{1.5}=1cm$

The image will appear $1cm$ above the point $P$.