Waves Unit- Angle of Incidence

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SUMMARY

The discussion focuses on applying Snell's Law to solve a problem involving the angle of incidence and critical angle in a wave optics context. The user suggests utilizing Snell's Law to relate the critical angle to the refractive index of a block, emphasizing the importance of geometry in determining the angle of transmission. The solution involves calculating the angle of incidence at the vertical surface, denoted as θ1, and applying Snell's Law accordingly. This method provides a structured approach to analyzing wave behavior at interfaces.

PREREQUISITES
  • Understanding of Snell's Law and its application in optics
  • Familiarity with critical angles and refractive indices
  • Basic geometry concepts related to angles and triangles
  • Knowledge of wave behavior at material interfaces
NEXT STEPS
  • Study the derivation and applications of Snell's Law in different media
  • Explore the concept of critical angle and total internal reflection
  • Learn about the refractive indices of common materials
  • Investigate the geometric relationships in wave optics problems
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding wave behavior at material boundaries.

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Homework Statement


http://imgur.com/LDx7I

Homework Equations


http://en.wikipedia.org/wiki/Snell's_law

The Attempt at a Solution


I'm not really sure on the approach to take for this question. Since it proves 2 angles, Snell's Law could prove to be beneficial.

Thanks for the help!
 
Last edited:
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First , use the snell's law on the bottom surface to connect the critical angle to the refractive index of the block. For the vertical surface, the angle of transmission is 90-\theta_c using basic geometry. then use snell's law again at the vertical surface. at the vertical surface angle of incidence is \theta_1
 

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