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Refraction of Light through a Prism

The refractiv...

Question

The refractive indices of flint glass for red and violet light are 1.613 and 1.632 respectively. Find the angular dispersion produced b a thin prism of flint glass having refracting angle is $15^{0}$

A

0.0305

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B

0.0502

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C

0.405

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D

0.285

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Solution

The correct option is D 0.285
$\begin{matrix} D e v i a t i o n o f l i g h t δ = (μ - 1) A D e v i a t i o n o f r e d l i g h t δ_{r e d} = (μ_{r e d} - 1) A a n d t h a t o f t h e v o i l e t l i g h t δ_{v i o l e t} = (μ_{v i o l e t} - 1) A T h e d i s p e r s i o n = δ_{v i o l e t} - δ_{r e d} = (μ_{r e d} - 1) A - (μ_{v i o l e t} - 1) A = (μ_{v i o l e t} - μ_{r e d}) A = (1.632 - 1.612) \times 15^{0} = {0.285}^{0} \end{matrix}$
Hence,
option $(D)$ is correct answer.

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