Question

A point object is placed $33$cm from a convex mirror of curvature radius $=40$cm. A glass plate of thickness $6$cm and refractive index $2.0$ is placed between the object and mirror, close to the mirror. Find the distance of final image from the object.

Answer 1

shift due to glass slab

$s=(1-\frac{1}{\mu })t=30cm$

$u^{{}^{\prime }}=33-3=30$

$f=20cm$

$\frac{1}{f}=\frac{1}{v}+\frac{1}{u}$

$\frac{1}{20}=\frac{1}{v}-\frac{1}{30}$

$v=30cm$