Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and the Yahoo Answers website is now in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

# can you help me what is deviation of a equilateral triangular prism of 5 cm taking 35 degrees as the ray?

please very important for my praticals

### 1 Answer

Relevance
• Favorite Answer

To solve this you must know the index of refraction, n.

If the prism use crown glass, n ≈ 1.52

If the prism use SF10 Crystal, n = 1.72803

α = 90° - 35° = 55°

A = 60°

Angle deviation,

ε = α - A + arcsin[sin(A) * sqrt[n^2-(sin(α))^2] - cos(A)*sin(α)]

If n = 1.52,

ε = [55 - 60 + (180/pi) * (arcsin( sin(60*pi/180) * (1.52^2 - ( sin(55*pi/180) )^2 )^0.5 - cos(60*pi/180) * sin(55*pi/180) ))]°

ε ≈ 39.369°

If n = 1.72803,

ε = [55 - 60 + (180/pi) * (arcsin( sin(60*pi/180) * (1.72803^2 - ( sin(55*pi/180) )^2 )^0.5 - cos(60*pi/180) * sin(55*pi/180) ))]°

ε ≈ 60.246°

For more info, go to source...

Still have questions? Get your answers by asking now.