JEE Advanced · 2013 · 02 Jun 2013 · Paper 1 · Geometrical Optics

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 $n_{\mathrm{L}}$. The correct plot showing the variation of the power, in the units of diopter (D), as a function of …

A beam of polychromatic light passes through a thin prism of prism angle 6°. The refractive index of the material of the prism varies with wavelength $(\lambda )$ as $n(\lambda )=\alpha \lambda +\frac{\beta }{{\lambda }^2}$, where $\alpha =3\mu {\mathrm{m}}^{-1}$ and …

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 perpendicular to the mirror $M$. If …

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 refractive index $n_0$ is kept equidistant from the mirror …

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 cm, while the planar surface (STU) acts as a mirror. This beaker is filled with a liquid of refractive index $n$ up to the le …

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 ${\varphi }_0$ and then partly reflects from the back surface. The reflected ray then emerges ou …