Optics 4 Question 2

2. The variation of refractive index of a crown glass thin prism with wavelength of the incident light is shown. Which of the following graphs is the correct one, if Dm is the angle of minimum deviation?

(2019 Main, 11 Jan I)

(b)

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Solution:

  1. For a crown glass thin prism i.e., prism with small angle, the angle of minimum deviation is given as,

where, A is prism angle and n is refractive index.

Dmn

Since from the given graph, the value of ’ n ’ decrease with the increase in ’ λ ‘. Thus, from relation (i), we can say that, Dm will also decrease with the increase in ’ λ ‘.

Hence, option (c) is correct.



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