Solve Refracted Ray Problem: Find Angle of Refraction

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SUMMARY

The discussion focuses on solving the refracted ray problem using Snell's Law. The refractive index of the transparent material is determined to be 1.54 based on a critical angle of 40.4°. When a light ray strikes the material at an angle of 37.9°, the angle of reflection is also 37.9°, while the angle of refraction is calculated to be 23.5°. The user successfully applies Snell's Law to find the angle of refraction when the light exits the material.

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  • Understanding of Snell's Law for refraction calculations
  • Knowledge of refractive index and critical angle concepts
  • Familiarity with angles of incidence, reflection, and refraction
  • Basic trigonometry for calculating sine values
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  • Review Snell's Law and its applications in optics
  • Explore the concept of critical angle in different materials
  • Learn about total internal reflection and its implications
  • Study advanced optics topics, such as light polarization
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Students studying physics, particularly those focusing on optics, as well as educators and professionals involved in teaching or applying principles of light behavior in various materials.

carpelumen
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I figured out the first few, I just can't get the last one!

-The refractive index of a transparent material can be determined by measuring the critical angle when the solid is in air. If θc= 40.4° what is the index of refraction of the material?
1.54

-A light ray strikes this material (from air) at an angle of 37.9° with respect to the normal of the surface. Calculate the angle of the reflected ray (in degrees).
37.9 deg

-Calculate the angle of the refracted ray (in degrees).

23.5 deg

Assume now that the light ray exits the material. It strikes the material-air boundary at an angle of 37.9° with respect to the normal. What is the angle of the refracted ray?
?

Homework Equations


Refractive index x sin (theta)

The Attempt at a Solution


[/B]
1.54 x sin (37.9) = .945999What am I doing wrong?
 
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Do you know Snell's law? What you wrote there is incomplete. Wrote the complete law.
 
I figured it out. Thanks
 

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