Question

One end of a cylindrical glass rod $(\mu =1.5)$ of radius $1.0cm$ is rounded in the shape of a hemisphere. The rod is immersed in water $(\mu =4/3)$ and an object is placed in the water along the axis of the rod at a distance of $8.0cm$ of from the rounded edge. located the image of the object.

Answer 1

Radius of the cylindrical glass tube $=1cm$

We know, $\frac{{\mu }_2}{v}-\frac{{\mu }_1}{u}=\frac{{\mu }_2-{\mu }_1}{R}$

Here, $u=-8cm,{\mu }_2=\frac{3}{2},{\mu }_1=\frac{4}{3},R=+1cm$

So, $\frac{3}{2v}+\frac{4}{3\times 8}\Rightarrow \frac{3}{2v}+\frac{1}{6}=\frac{1}{6}v=\infty$

$\therefore$ The image will be formed at infiniity.