Optics Ques 109

  1. 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 $D _m$ is the angle of minimum deviation?

(2019 Main, 11 Jan I)

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Answer:

Correct Answer: 109.(c)

Solution:

Formula:

Refraction Through Prism

  1. For a crown glass thin prism i.e., prism with small angle, the angle of minimum deviation is given as, $D_m =(n-1) A$

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

$\Rightarrow D _m \propto n$ $\quad$ …….(i)

Since from the given graph, the value of ’ $n$ ’ decrease with the increase in ’ $\lambda$ ‘. Thus, from relation (i), we can say that, $D _m$ will also decrease with the increase in ’ $\lambda$ ‘.

$\therefore$ Hence, option (c) is correct.



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