Real and Apparent Depth

Figure shows two unmixable transparent liquids refractive indices ${\mu }_1$ and ${\mu }_2$ filled in a container. The depth of each liquid is $d$. Calculate apparent depth of a coin placed at bottom of container.

A bird is flying at the height of $3 \mathrm{m}$ above the river surface while a fish is $4 \mathrm{m}$ below the surface. At what depth would the fish appear to the bird? At what height the bird would appear to the fish? Given refractive index of water with respect to air $\left({}_a\mu _w\right)=4/3$

Thickness of a transparent slab is $12\mathrm{cm}$. A point object when placed at the bottom of the slab appears raised by $4\mathrm{cm}$. What is the refractive index of the slab?

A tank appears shallower than its actual depth. why?

Show that for refraction through a medium the ratio of real depth to apparent depth is equal to the refractive index of the medium.

Explain the term $\left(i\right)$ real depth and $\left(ii\right)$ apparent depth.

The figure shows two light rays $OA$ and $OB$ from an object $O$. Show refracted ray in each case and obtain the image of $O$. Will this image be real or virtual?