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# If θ=40∘, what is the index of refraction of the prism?

The figure shows a ray of light entering an equilateral prism, with all sides and angles equal to each other. The ray traverses the prism parallel to the bottom and emerges at the same angle at which it entered.

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- WhomeLv 711 months agoFavorite Answer
Snell's law equation

n₁sinθ₁ = n₂sinθ₂

The angle of incidence is measured from a reference normal to the surface, therefore

θ₁ = 90 - 40 = 50°

The angle of incidence inside the prism is

θ₂ = 90 - 60 = 30°

1.00sin50 = n₂sin30

n₂ = sin50 / sin30

n₂ = 1.53

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