The prism is made from glass and its cross section is an

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SUMMARY

The discussion focuses on calculating the angles of refraction for red and violet light as they emerge from a glass prism with an equilateral triangle cross-section. The indices of refraction are specified as 1.662 for red light and 1.698 for violet light, with an angle of incidence of 60 degrees. The correct approach involves using Snell's Law, n1*sin(theta1) = n2*sin(theta2), and requires preliminary geometric calculations to determine the angle of refraction accurately. Participants emphasize the necessity of solving for the angle of emergence separately for each color using the derived angles from the geometry of the prism.

PREREQUISITES
  • Understanding of Snell's Law in optics
  • Basic knowledge of geometric principles related to prisms
  • Familiarity with the concept of indices of refraction
  • Ability to perform trigonometric calculations
NEXT STEPS
  • Study the application of Snell's Law in different optical media
  • Learn about the geometry of prisms and their effect on light refraction
  • Explore the concept of dispersion in optics, particularly with glass prisms
  • Practice solving problems involving multiple wavelengths of light and their refraction
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Students in physics or engineering, educators teaching optics, and anyone interested in the principles of light behavior in prisms.

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Homework Statement


the prism is made from glass, and its cross section is an equilateral triangle. the indices of refraction for the red and violet light are 1.662 and 1.698, respectively. the angle of incidence for both the red and violet light is 60 degrees. find the angles of refraction at which the red and violet rays emerge into the air from the prism

Homework Equations


I know I'm supposed to use the formula n1*sin theta 1=n2 *sin theta 2.

The Attempt at a Solution



I tried plugging in 60 degrees into theta 1, and i tried plugging n1 and n2 with the indices of refractions that are given. then using all those knowns i tried to solve for the unknown, theta 2, but it didn't give me the right answer. my answer was close, but it's not correct.
 
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you have to do a bit of geometry here first. see the attachment. U can find r by the formula u stated. Then use sin(60-r)/sin(x)=1/n to find the angle x at which they emerge. You have to do separately for the red and violet but using the same process
 

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