The graph between angle of deviation $\left(\delta \right)$ and angle of incidence (i) for a triangular prism is represented by:

A thin convex lens made from crown glass $(n=\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.)$ has focal Iength $f$. When it is measured in two different liquids having refractive indices $\raisebox{1ex}{$4$}\!\left/ \!\raisebox{-1ex}{$3$}\right.$ and $\raisebox{1ex}{$5$}\!\left/ \!\raisebox{-1ex}{$3$}\right.$, it has the focal lengths $f_1$ and $f_2$ respectively. The correct relation between the focal lengths is:

Monochromatic light is incident on a glass prism of angle $A$. If the refractive index of the material of the prism is $\mu$, a ray, incident at an angle $\theta$, on the face $AB$ would get transmitted through the face $AC$ of the prism provided.

Consider a tank made of glass (refractive index $1.5$) with a thick bottom. It is filled with a liquid of refractive index $\mu .$ A student finds that, irrespective of what the incident angle $i$ (see figure) is for a beam of light entering the liquid, the light reflected from the liquid glass interface is never completely polarized. For this to happen, the minimum value of $\mu$ is:

A convex lens is put $10 \mathrm{cm}$ from a light source and it makes a sharp image on a screen, kept $10 \mathrm{cm}$ from the lens. Now a glass block (refractive index $1.5$) of $1.5 \mathrm{cm}$ thickness is placed in contact with the light source. To get the sharp image again, the screen is shifted by a distance $d$. Then $d$ is: