The figure shows the refraction of light through an equilateral prism ,incident at an angle of 30°. The ray suffers a deviation of 37°. What are angles marked as A , e and f respectively.
Answers
Answer:
9
Explanation:
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The figure shows the refraction of light through an equilateral prism, incident at an angle of 30°. The ray suffers a deviation of 37°.
To find : Prism angle, angle of emergence, and angle f are...
solution : using formula, δ = (μ - 1)A
deviation angle, δ = 37°
refractive index of prism (glass) = 1.5
so, 37° = (1.5 - 1)A
⇒A = 74°
also we know, A + δ = i + e
so, 74° + 37° = 30° + e
⇒e = 81°
and angle f = 180° - A
[ see figure, Aife makes an quadrilateral where ∠fiA = 90° , ∠feA = 90° so, ∠f = 180° - A ]
⇒f = 180° - 74° = 106°
Therefore A, e and f are 74° , 81° and 106° respectively.
