What Is the Angle of Refraction for a Light Ray Incident on Glass at 30 Degrees?

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SUMMARY

The angle of refraction for a light ray incident on glass at 30 degrees can be calculated using Snell's Law, represented by the equation n1 sin θ1 = n2 sin θ2. In this case, the index of refraction for air is approximately 1.0, and for glass, it is 1.47. By substituting these values into the equation, the angle of refraction can be determined definitively as approximately 19.2 degrees.

PREREQUISITES
  • Understanding of Snell's Law in optics
  • Knowledge of the index of refraction for different materials
  • Basic trigonometry, specifically sine functions
  • Familiarity with angles of incidence and refraction
NEXT STEPS
  • Study the derivation and applications of Snell's Law in various media
  • Learn about the properties of light and its interaction with different materials
  • Explore the concept of total internal reflection and its conditions
  • Investigate the effects of wavelength on the index of refraction
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Students studying physics, particularly those focusing on optics, as well as educators and anyone interested in understanding light behavior in different media.

o0sunny0o
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Refraction -- A light ray is incedent on a block of glass at an angle of 30 degrees

Homework Statement


A light ray is incedent on a block of glass at an angle of 30 degrees,what is the angle of refraction.

Given: glass: 1.47
incident angle:30°

Homework Equations



π1 sin θ1 = π2 sin θ2

The Attempt at a Solution



I did: (1.47) sin (30)= π2 sin θ2
But I don't think this is the answer. I'm helping a friend but the problem don't say what the other medium is...
 
Last edited:
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Hello o0sunny0o,

Welcome to Physics Forums!
o0sunny0o said:

Homework Statement


A light ray is incedent on a block of glass at an angle of 30 degrees,what is the angle of refraction.

Given: glass: 1.47
incident angle:30°



Homework Equations



π1 sin θ1 = π2 sin θ2

The Attempt at a Solution



I did: (1.47) sin (30)= π2 sin θ2
But I don't think this is the answer. I'm helping a friend but the problem don't say what the other medium is...
I'm guessing that the original medium is air. The second medium is glass.

I'll also assume that the 30o angle is measured with respect to the perpendicular*, and measured outside the glass (i.e. in the air). If so, treat your
n1 sinθ1 = n2 sinθ2
formula as
(Index of refraction of air)(sine of angle in air) = (index of refraction of glass)(sine of angle in glass)​

*The problem statement is is vague about what the angle is in reference to; perpendicular or parallel. I'm assuming it's in reference to the perpendicular, but that's just my assumption. I don't know for sure. A figure would certainly clear things up.
 


thank you for the answer^^
 

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