Question

Figure shows a parallel beam of monochromatic light incident on a convex spherical surface, radius of curvature $R=30$cm, which separates glass(refractive index $=1.6$) from air. Find the position of the image formed due to refraction of light at this single spherical surface.

Answer 1

Given $R=30$cm
$n=1.6$
We know, $\frac{n}{v}-\frac{1}{u}=\frac{n-1}{R}$
$\frac{1.6}{v}+\frac{1}{\infty }=\frac{1.6-1}{30}$
$v=\frac{1.6\times 30}{0.6}$
$v=80$cm.