A concave spherical surface of radius of curvature $10\mathrm{cm}$, separates two medium $\mathrm{X}$ and $\mathrm{Y}$ of $\mathrm{R}.\mathrm{I}. 4/3$ and $3/2$ respectively. If the object placed along principal axis in medium $\mathrm{X}$, then:

 

A double convex lens, made of a material of refractive index ${\mathrm{\mu }}_1$, is placed inside two liquids of refractive indices ${\mathrm{\mu }}_2$ and ${\mathrm{\mu }}_3$, as shown. ${\mathrm{\mu }}_2>{\mathrm{\mu }}_1>{\mathrm{\mu }}_3$. A wide, parallel beam of light is incident on the lens from the left. The lens will given rise to:

A converging lens of focal length $20\mathrm{cm}$ and diameter $5\mathrm{cm}$ is cut along the line $\mathrm{AB}$. The part of the lens shown shaded in the diagram is now used to from an image of a point $\mathrm{P}$ placed $30\mathrm{cm}$ away from it on the line $\mathrm{XY}$ which is perpendicular to plane of the lens. The image of $\mathrm{P}$ will be formed.

Look at the ray diagram shown, what will be the focal length of the $1^{\mathrm{st}}$ and the $2^{\mathrm{nd}}$ lens, If the incident light ray passes without any deviation?

A diverging lens of focal length $10\mathrm{cm}$ is placed $10\mathrm{cm}$ in front og 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:

A point object $\mathrm{O}$ moves from the principal axis of converging lens in a direction $\mathrm{OP}$. I the image of $\mathrm{O}$, will move initially in the direction:

A point object $\mathrm{O}$ is placed at a distance of $20\mathrm{cm}$ from convex lens of focal length $10\mathrm{cm}$ as shown in figure. At what distance $\mathrm{x}$ from the lens should a concave mirror of focal length $60\mathrm{cm}$, be placed so the final image coincides with the object-