If three identical prisms are combined is it possible to pass a beam that emerges undeviated? Undispersed?

A prism can produce a minmum deviation delta in a the beam. If three such prisms are combined, the minimum deviation that can be produced in this beam is

A crown glass prism of angle 5^@ is to be combined with a flint glass prism in such a way that the mean ray passes undeviated. Find (a) the angle of the flint glass prism needed and (b) the angular dispersion produced by the combination when white light goes through it. Refractive indices for red, yellow and viloet light are 1.514, 1.517 and 1.523 respectively for crown glass and 1.613 1.620 and 1.632 for flint glass.

Three thin prisms are combined as shown in figure. The refractive indices of the crown glass for red, yellow and violet rays are mu_r, mu_y and mu_v respectively and those for the flint glass are mu_r^', mu_y^' and mu_v^' respectively. Find the ratio A'/A for which (a) there is no net angular dispersion, and (b) there is no net deviation in the yellow ray.

By properly combining two prisms made of different materials, it is possible to

Two prisms of identical geometrical shape are combined with their refracting angles oppositely directed. The materials of the prisms have refractive indices 1.52 and 1.62 for violet light. A violet ray is deviated by 1.0^@ when passes symmetrically through this combination. What is the angle of the prisms ?

A right prism is to be made by selecting a proper material and the angles A and B (BleA) as shown in figure. It is desired that a ray of light incident normally on AB emerges parallel to the incident direction after two internal reflection.a. What should be the minimum refractive index mu for this to be possible? b. For mu=5/3 is it possible to achieve this with the angle A equal to 60 degrees?

Three identical spherical shells, each of mass m and radius r are placed as shown in figure. Consider an axis XX which is touching to two shells and passing through diameter of third shell:Moment of inertia of the system consisting of these three spherical shells about ' XX' axis is

An amount of Rs 7000 is invested in three types of investments x,y and z the rate of 3%, 4%, and 5% interst respectively. The total annual income is Rs 280. If the combined income from x and y is Rs 80 more than that from z, then (i) Represent the above situation in form of linear equations. (ii) Is it possible to frame the given linear equations in the form of matrix to obtain the three values x, y and z using matrix multiplication? If yes, find. (iii) Which value is more beneficial to invest?

Three identical spherical shells, each of mass m and radius r are placed as shown in figur. Consider an axis XX^(1) which is touching to two shells and passing through diameter of third shell. M.I of the system consisting of these three spherial shells about XX^(1) axis is

Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is 60^(@) ). In the position of minimum deviation, the angle of refraction will be