Exercise-3

A plano convex lens fits exactly into a plano concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive indices ${\mu }_1$ and ${\mu }_2$ and $R$ is the radius of curvature of the curved surface of the lenses, then the focal length of the combination is :

A beam of light consisting of red, green and blue colours is incident on a right angled prism. The refractive index of the material of the prism for the above red, green and blue wavelengths are $1.39, 1.44$ and $1.47,$ respectively.

The prism wil:

A transparent solid cylindrical rod has a refractive index of $\frac{2}{\sqrt{3}}$. It is surrounded by air. A light ray is incident at the mid-point of one end of the rod as shown in the figure.

The incident angle $\left(\theta \right)$ for when the light ray grazes along the wall of the rod is:

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

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:

The variation of refractive index of a crown glass thin prism with wavelength of the incident light is shown. Which of the following graphs is the correct one if $D_{\mathrm{m}}$ is the angle of minimum deviation?

Formation of real image using a biconvex lens is shown below.

If the whole set up is immersed in water, what will one observe