In the shown figure $M_1$ and $M_2$ are two concave mirrors of the same focal length $10 \mathrm{cm}$. $AB$ and $CD$ are their principal axes, respectively. A point object $O$ is kept on the line $AB$ at a distance $15 \mathrm{cm}$ from $M_1$. The distance between the mirrors is $20 \mathrm{cm}$. Considering two successive reflections first on $M_1$ and then on $M_2$. The distance of the final image from the line $AB$ is

In the given figure a parallel beam of light is incident on the upper part of a prism of angle $1.8°$ and R.I. $\frac{3}{2}$. The light coming out of the prism falls on a concave mirror of radius of curvature $20 \mathrm{cm}$. The distance of the point (where the rays are focused after reflection from the mirror) from the principal axis is  $\left[\mathrm{use} \mathrm{\pi }=3.14\right]$

The figure showing the radius of curvature of the left and right surface of the concave lens are $10 \mathrm{cm}$ and $15 \mathrm{cm}$, respectively. The radius of curvature of the mirror is $15 \mathrm{cm}$, equivalent focal length of the combination is

STATEMENT-$1$: A thin white parallel beam of light is incident on a plane glass-vacuum interface as shown. The beam may not undergo dispersion after suffering deviation at the interface (The beam is not incident normally on the interface.)

STATEMENT-$2$: Vacuum has the same refractive index for all colours of white light.

In cases of real images formed by a thin convex lens, the linear magnification is

$\left(\mathrm{I}\right)$ directly proportional to the image distance,

$\left(\mathrm{II}\right)$ inversely proportional to the object distance,

$\left(\mathrm{III}\right)$ directly proportional to the distance of image from the nearest principal focus,

$\left(\mathrm{IV}\right)$ inversely proportional to the distance of the object from the nearest principal focus.

From these, the correct statements are,

Rays from an object immersed in water $\left(\mu =1.33\right)$ traverse a spherical air bubble of radius $R$. If the object is located far away from the bubble, its image as seen by the observer located on the other side of the bubble will be