Prism

It is desired to make an achromatic combination of two lenses $(L_1 \& L_2)$ ${\omega }_1$ and ${\omega }_2 (<{\omega }_1)$. If the combination of lenses is converging then

Refractive index of a transparent material is

The refractive indices of flint glass prism for violet, yellow and Red colours are $1.790$, $1.795$ and $1.805$ respectively, find dispersive power of the flint glass. (upto five decimal places)

A parallel beam of white light falls on a convex lens. Images of violet, yellow and orange light are formed on the other side of the lens at $t$ distances $24 \mathrm{cm},30 \mathrm{cm}$ and $32 \mathrm{cm}$ respectively. What is the dispersive power of the material of the lens ? (Round off your answer upto two decimal places)

Assertion : Dispersive power of an equilateral triangular prizm is greater than a thin lens if both are kept in air

Reason : Despersive power is $\beta =\frac{n_v-n_r}{n_y-1}$ is valid only for thin prizm, but not valid for a lens

For a material medium, the values of refractive index for violet and red colours are given as $n_{\mathrm{v}}=1.56$ and $n=1.44$. The dispersive power of a prism made out of this material is

A light ray through a glass prism of angle $60°$ under goes a minimum deviation of $30°$. What is the speed of light in the prism?
(Assume $c=$ speed of light in air)

Two lenses having focal lengths $+10 \mathrm{cm}$ and $-15 \mathrm{cm}$ when put in contact behave like convex lens. If they have zero longitudinal chromatic aberration, the ratio of dispersive powers is:

Consider the four different cases of dispersion of light ray which has all the wavelengths from ${\mathrm{\lambda }}_1$ to ${\lambda }_2\left({\lambda }_1>{\lambda }_2\right).$ The dotted line represents the light ray of wavelength ${\lambda }_{avg }$. Which ray diagram is showing maximum dispersive power?

Two identical prisms with slightly different indices are located as shown. Angle $\theta$ is small. When a laser beam strikes one of the prisms perpendicular to the surface, the refracted ray is deviated by a small angle $\varphi .$ The difference between the indices of refraction of the prism in terms of $\theta$ and $\varphi .$

A ray of light passes through an equilateral prism such that angle of incidence is equal to angle of emergence and the latter is equal to ${\left(\frac{3}{4}\right)}^{\mathrm{t}\mathrm{h}}$ of the angle of prism. The angle of deviation is (in${}^{\circ }$) 

Find angular dispersion due to glass prism of refracting angle  $6°$. Refractive index for red and violet light is given as $1.514$ and $1.523$ respectively. 

What is the relation between $\mathrm{i}$ and $\mathrm{e}$ when a prism is in the position of minimum deviation? 

If the yellow light is refracted by a prism at an angle of minimum deviation then-

A ray passes through an equilateral glass prism such that $\mathrm{i}=\mathrm{e},$ which is $3/4$ of the prism angle. Then deviation will be -

A small angle prism $(\mu =1.62)$ gives a deviation of $4.8°$. The angle of prism is

If the retractive index vs wave length for a thin prism be as shown in figure. Then the graph of angle of deviation $\left(\delta \right)$ vs $\lambda$ graph is best represented by

Calculate the dispersive power for crown glass from the given data

${\mu }_V=1.523$ and ${\mu }_R=1.5145$

Two identical thin isosceles prisms of refracting angle 'A' and refractive index m are placed with their bases touching each other. Two parallel rays of light are incident on this system as shown. The distance of the point where the rays converge from the prism is

A ray of light strikes a plane mirror at an angle of incidence ${45}^{\mathrm{o}}$ as shown in the figure. After reflection, the ray passes through a prism of refractive index 1.50, whose apex angle is $4^{\mathrm{o}}$ . The angle through which the mirror should be rotated if the total deviation of the ray is to be ${90}^{\mathrm{o}}$ is.