Ray Optics

A container is filled with water ($\mu = 4/3$) up to a height of 24 cm. A concave mirror is placed 10 cm above the water level, and the image (I) of an object placed at the bottom is formed 20 cm below the water level,…

A convex lens of refractive index $\mu$ has two surfaces of equal radius of curvature $R$. The focal length of convex lens is

Light enters from air into water of refractive index $\dfrac{4}{3}$. The percentage change in its wavelength is

What is the total optical path length of two media in contact with thicknesses of $d$ and $\dfrac{d}{4}$ and refractive indices of $n_1$ and $n_2$, respectively?

The focal length of the objective of astronomical telescope is $2\ \text{m}$. Under normal adjustment, length of telescope is $2.10\ \text{m}$. The magnifying power of the telescope under normal adjustment is

The refracting angle of a prism is $'A'$ and its refractive index is $\cot\left(\dfrac{A}{2}\right)$. The minimum deviation produced by the prism is

An object is placed 15 cm from a concave mirror of focal length 10 cm, then the nature of the image formed will be

Three beams of blue, green and orange colour are made to pass separately through a prism . In the position of minimum deviation, the angle of refraction will be (the angle of prism is $60^\circ$)

A prism of refractive index $\sqrt{2}$ has refracting angle of $60^{\circ}$. At what angle a ray must be incident one it so that it suffers a minimum deviation?

A point object is placed at a distance of 20 cm from a thin plano-convex lens of focal length 15 cm , if the plane surface is silvered. The image will form at

A rectangular glass slab $A B C D$ of refractive index $n_1$ is immersed in water of refractive index $n_2\left(n_1 \gt n_2\right)$. A ray of light is incident at the surface $A B$ of the slab as shown. The maximum…

If $\overrightarrow{\mathbf{A}}, \overrightarrow{\mathbf{B}}$ and $\overrightarrow{\mathbf{C}}$ are the unit vectors along the incident ray, reflected ray and outward normal to the reflecting surface, then: