Ray Optics

The $X-Y$ plane be taken as the boundary between two transparent media $M_{1}$ and $M_{2}$.$M_{1}$ in $Z\geq\,0$has a refractive index of $\sqrt{2}$ and $M_{2}$ with $Z<0$has a refractive index of $\sqrt{3}$. A ray of…

A thin prism of angle $6^{\circ}$and refractive index for yellow light $\left(n_{Y}\right)1.5$is combined with another prism of angle $5^{\circ}$ and $n_{Y}=1.55$. The combination produces no dispersion. The net average…

A light ray is incident on a glass slab of thickness $4 \sqrt{3} \mathrm{~cm}$ and refractive index $\sqrt{2}$ . The angle of incidence is equal to the critical angle for the glass slab with air. The lateral…

An object is placed at a distance of $12\mathrm{cm}$ from a convex lens. A convex mirror of focal length $15\mathrm{cm}$ is placed on anotherside of the lens at $8\mathrm{cm}$ as shown in the figure. The image of the…

Two vertical parallel mirrors $A$ and $B$ are separated by $10$ cm. $A$ point object $O$is placed at a distance of $2\mathrm{cm}$ from mirror $A.$ The distance of the second nearest image behind mirror $A$from the…

Two immiscible liquids of refractive indices $\frac{8}{5}$ and $\frac{3}{2}$ respectively are put in a beaker as shown in the figure. The height of each column is $6\mathrm{cm}$. A coin is placed at the bottom of the…

A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid having refractive index 1.6 is added to height H above first liquid. If viewed from above, the apparent shift in the…

Light from a point source in air falls on a convex curved surface of radius $20\mathrm{cm}$ and refractive index $1.5$. If the source is located at $100\mathrm{cm}$ from the convex surface, the image will be formed at…

Light from a point source in air falls on a spherical glass surface (refractive index, $\mu=1.5$ and radius of curvature $=50 \mathrm{~cm}$). The image is formed at a distance of 200 cm from the glass surface inside the…

A ray of light passes from a denser medium to a rarer medium at an angle of incidence $i.$ The reflected and refracted rays make an angle of $90^{\circ}$ with each other. The angle of reflection and refraction are…

A thin cylindrical rod of length $10\mathrm{cm}$ is placed horizontally on the principle axis of a concave mirror of focal length $20\mathrm{cm}$. The rod is placed in a such a way that mid point of the rod is at…

Cross-section view of a prism is the equilateral triangle $ABC$ shown in the figure. The minimum deviation is observed using this prism when the angle of incidence is equal to the prism angle. The time taken by light to…