Question

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

Answer 1

Here u = 8 cm v = - 8 cm

${\mu }_1=\frac{4}{3}$

${\mu }_2=\frac{3}{2}$

$\frac{{\mu }_2}{v}-\frac{{\mu }_1}{u}=\frac{{\mu }_2.l_1}{r}$

$\frac{3}{2v}-\frac{4}{(-3\times 8)}=\frac{\frac{3}{2}-\frac{4}{3}}{1}$

$\frac{3}{2r}+\frac{1}{6}=\frac{1}{6}$

$\frac{3}{2v}=0\Rightarrow v=\infty$