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Find the Angle of Deviation. - Physics

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A ray of light passes through an equilateral glass prism such that the angle of incidence is equal to the angle of emergence and each of these angles is equal to 3/4 of angle of prism. Find the angle of deviation.

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Solution

The angle of deviation δ for a ray of light in a prism is given by

δ=i+eA

where
= Angle of incidence of ray
= Its angle of emergence 
= Angle of prism

`∵e=i`

` ⇒δ=2i−A`

Given:` i=e=3/4A`

`∴δ=2×3/4A−A`

`⇒δ=1/2A`

As the prism is equailateral,A=60°

`∴δ=12×60°`

`⇒δ=30`

Concept: Dispersion by a Prism
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