A spherical surface separates two media of refractive indices 1 and 1.5 as shown in figure. Distance

Question

A spherical surface separates two media of refractive indices 1 and 1.5 as shown in figure. Distance of the image of an object ' $O$ ', is ( $C$ is the center of curvature of the spherical surface and $R$ is the radius of curvature)\

Professor PC Thomas Classes · Answer

(b) : $\frac{-n_{1}}{u}+\frac{n_{2}}{v}=\frac{n_{2}-n_{1}}{R}$ $$ -\frac{1}{-0.2}+\frac{1.5}{v}=\frac{1.5-1}{0.4} $$ $$ \frac{1.5}{v}=\frac{0.5}{0.4}-\frac{1}{0.2} \Rightarrow v=-0.4 \mathrm{~m} $$