Angular Dispersion and Dispersive Power

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

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 thin prism P₁ with angle $4^{\mathrm{o}}$ and made from glass of refractive index $1.54$ is combined with another thin prism P₂ made from glass of refractive index $1.72$ to produce dispersion without deviation. What is the angle of prism in degree ?

Define deviation without dispersion.

Two thin prisms are combined of refractive indexes ${\mu }_1= 1.5\text{,} {\mu }_2= 1.75$. The combination of the prisms produces dispersion without deviation. The angle of the first prism is $15°$. Find the angle for second prism. 

A thin prism P₁ with angle $4^{\mathrm{o}}$ and made from glass of refractive index $1.54$ is combined with another thin prism P₂ made from glass of refractive index $1.72$ to produce dispersion without deviation. What is the angle of prism in degree ?

Calculate the dispersive power for crown glass from the given data

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

The respective angles of the flint and crown glass prisms are $A^{\text{'}}$ and $A$. They are to be used for dispersion without deviation, then the ratio of their angles $\frac{A^{\text{'}}}{A}$ will be

The following data are given for a crown glass prism, refractive index for violet light n_v = 1.521, refractive index for red light n_r = 1.510 and refractive index for yellow light n_y = 1.550. Dispersive power of a prism is

The following data are given for a crown glass prism, refractive index for violet light $n_v=1.521$, refractive index for red light $n_r=1.510$ and refractive index for yellow light $n_y=1.550$. Dispersive power of a prism is

A prism of certain angles deviates the red and violet rays by $8°$ and $12°$ respectively. Another prism of the same angle deviates the red and violet rays by $10°$ and $14°$ respectively. The prisms are small angled and made of different materials. The dispersive powers of the materials of the prism are in the ratio

An achromatic lens is made using a convex and a concave lens. The power of the achromatic convergent lens of two lenses is $+2 \mathrm{D}$. The power of convex lens is $+5 \mathrm{D}$. The ratio of dispersive power of convex and concave lenses will be

Three thin prisms are combined as shown in diagram. The refractive indices of the crown glass for red and violet rays are ${\mu }_{\text{r}}$ and ${\mu }_{\text{v}}$ respectively and those for the flint glass are ${\mu }_{\text{r}}^{\prime }$ and ${\mu }_{\text{v}}^{\prime }$respectively. The ratio $\frac{{\text{A}}^{\prime }}{\text{A}}$ for which there is no net angular dispersion


               

Three thin prisms are combined as shown in diagram. The refractive indices of the crown glass for red and violet rays are ${\mu }_{\text{r}}$ and ${\mu }_{\text{v}}$ respectively and those for the flint glass are ${\mu }_{\text{r}}^{\prime }$ and ${\mu }_{\text{v}}^{\prime }$respectively. The ratio $\frac{{\text{A}}^{\prime }}{\text{A}}$ for which there is no net angular dispersion

Dispersive powers of materials used in lenses of an achromatic doublet are in the ratio 5:3. If the focal length of concave lens is 15 cm, then the focal length of the other lens will be

The two lenses of an achromatic doublet should have

The refractive indices of the crown glass for blue and red light are 1.51 and 1.49 respectively and those of the flint glass are 1.77 and 1.73 respectively. An isosceles prism of angle 6⁰ is made of crown glass. A beam of white light is incident at a small angle on this prism. The other flint glass isosceles prism is combined with the crown glass prism such that there is no deviation of the incident light.
 Calculate the net dispersion of the combined system.