Ray Optics

Consider two isosceles prisms 1 and 2 with prism angles $A_1$ and $A_2$ and refractive indices $n_1$ and $n_2$, respectively, as shown in the figure. The faces $a_1 b_1$ and $a_2 b_2$ are parallel to each other and…

A double convex lens made of glass of refractive index $1.5$ and radii of curvature of the curved surfaces $20$ cm each is immersed in a liquid of refractive index $n_L$. The correct plot showing the variation of the…

Two identical concave mirrors each of focal length $f$ are facing each other as shown in the schematic diagram. The focal length $f$ is much larger than the size of the mirrors. A glass slab of thickness $t$ and…

A light ray is incident on the surface of a sphere of refractive index $n$ at an angle of incidence $\theta_0$. The ray partially refracts into the sphere with angle of refraction $\phi_0$ and then partly reflects from…

A glass beaker has a solid, plano-convex base of refractive index 1.60, as shown in the figure. The radius of curvature of the convex surface (SPU) is $9 \mathrm{~cm}$, while the planar surface (STU) acts as a mirror.…

A monochromatic light wave is incident normally on a glass slab of thickness $d$, as shown in the figure. The refractive index of the slab increases linearly from $n_{1}$ to $n_{2}$ over the height $h$. Which of the…

A plane polarized blue light ray is incident on a prism such that there is no reflection from the surface of the prism. The angle of deviation of the emergent ray is $\delta=60^{o}$ (see Figure-$1$). The angle of…

List I contains four combinations of two lenses ($1$ and $2$) whose focal lengths (in $cm$) are indicated in the figures. In all cases, the object is placed $20cm$ from the first lens on the left, and the distance…

Three plane mirrors form an equilateral triangle with each side of length $L$. There is a small hole at a distance $l>0$ from one of the corners as shown in the figure. A ray of light is passed through the hole at an…

For a prism of prism angle $\theta=60^{\circ}$, the refractive indices of the left half and the right half are, respectively, $n_{1}$ and $n_{2}$, $(n_{2}\geq n_{1})$ as shown in the figure. The angle of incidence $i$…

A wide slab consisting of two media of refractive indices $n_{1}$ and $n_{2}$ is placed in air as shown in the figure. A ray of light is incident from medium $n_{1}$ to $n_{2}$ at an angle $\theta$, where $sin\theta$ is…

An extended object is placed at point $O$, $10cm$ in front of a convex lens $L_{1}$ and a concave lens $L_{2}$ is placed $10cm$ behind it, as shown in the figure. The radii of curvature of all the curved surfaces in…