Light Refracted Through A Prism

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SUMMARY

The discussion focuses on calculating the angle between two emerging rays from an isosceles prism with a refractive index of 1.52 and angles of 23, 23, and 134 degrees. The key equation utilized is Snell's Law, expressed as n1sin(theta1) = n2sin(theta2). The solution involves determining the angle of incidence and refraction, with the angle of deviation being double the deviation for one ray. The final angle between the two rays is derived from these calculations.

PREREQUISITES
  • Understanding of Snell's Law and its application in optics
  • Knowledge of geometric properties of isosceles prisms
  • Familiarity with the concept of angle of incidence and angle of refraction
  • Basic trigonometry to solve for angles in triangles
NEXT STEPS
  • Study the derivation and applications of Snell's Law in various media
  • Learn about the geometric properties and angle calculations in isosceles prisms
  • Explore the concept of light deviation and its significance in optics
  • Investigate practical applications of prisms in optical devices
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Students studying optics, physics educators, and anyone interested in the behavior of light through prisms and related optical phenomena.

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[SOLVED] Light Refracted Through A Prism

Homework Statement



Two parallel rays enter the longest side of a prism of refractive index 1.52. The prism is isosceles in shape and has angles of 23, 23 and 134 degrees. Assuming that the rays enter the prism on either side of the perpenical divider (ie at least half of the length of the prism side between them) what is the measure of the angle between the two emerging rays?


Homework Equations



n1sin(theta1)=n2sin(theta2)


The Attempt at a Solution



My biggest problem is that I'm not sure how to deal with the unknown angle of incidence or refraction. If I take n(air) = 1, then the above equation would read sin(angle of incidence)/sin(angle of refraction)=1.52 which just gives me another wording of Snell's Law. I've tried dealing with only half of the prism so I have a right-angled triangle with angles 23 and 67, but in truth I'm really not sure how to even approach this. Any help at all would be great. Thanks!
 
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Suppose two parallel rays enter the longest side of a prism of refractive index 1.52 perpendicular to the longest side. They enter the prism without deviation.The angle of incedence on the other face is equal to 23 degree. Find the angle of refraction and angle of deviation for one ray. Double the deviation is the angle between the refracted rays.
 
This is where I had trouble... I wasn't sure I could assume that the rays were perpendicular to the prism, since the question doesn't specifically state this.
 
Sorry, my mistake, must read question more carefully! Thank you!
 
i didnt get it...
 

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