A point object$O$ is placed in front of a glass rod having spherical end of radius of curvature $30 \mathrm{cm}.$ The image would be formed at

 

 

In a thin spherical fish bowl of radius $10 \mathrm{cm}$ filled with water of refractive index  $\raisebox{1ex}{$4$}\!\left/ \!\raisebox{-1ex}{$3$}\right.$, there is a small fish at a distance of $4 \mathrm{cm}$ from the centre $C$ as shown in the figure. Where will the image of fish appear, if seen from $E$ ?

In the given figure, if object is placed at a distance of $9 \mathrm{cm}$ from $O_1$, then find the image distance $\left(\mathrm{in} \mathrm{cm} \right)$ from $O_2$•

A diverging lens of focal length $10 \mathrm{cm}$ is placed $10 \mathrm{cm}$ in front of a plane mirror as shown in the figure. Light from a very far away source falls on the lens. The final image is at a distance