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A light ray composed of two monochromatic components passes through a trihedral prism with refracting angle θ = 60°. Find the angle Δα between the components of the ray after its passage through the prism if their respective indices of refraction are equal to 1.515 and 1.520. The prism is oriented to provide the least deflection angle.

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From the Cauchy’s formula, and also experimentally the R.I. of a medium depends upon the wavelength of the mochromatic ray i.e. n = f(λ). In the case of least deviation of a monochromatic ray the passage a prism, we have:

             .....(1)

The above equation tales us that we have n = n (α) , so we may write

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