Calculate Incident Angle for Snell Optics Problem | n1=1, n2=1.5

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SUMMARY

The discussion focuses on calculating the incident angle (Θ1) for a ray of light entering a block of glass with a refractive index (n2) of 1.5, surrounded by air (n1 = 1). The key equation used is Snell's Law: n1 sin Θ1 = n2 sin Θ2 = n1 sin Θ3. The solution reveals that Θ1 is determined to be 28.125 degrees when Θ3 is 45 degrees. Participants clarify that the angles Θ2 on the left and right faces of the block are not the same due to the geometry of the setup.

PREREQUISITES
  • Understanding of Snell's Law in optics
  • Knowledge of refractive indices (n1 and n2)
  • Basic geometry principles related to angles
  • Familiarity with light behavior at interfaces
NEXT STEPS
  • Study the derivation and applications of Snell's Law
  • Learn about the concept of critical angle and total internal reflection
  • Explore geometric optics and ray tracing techniques
  • Investigate the effects of varying refractive indices on light propagation
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Students studying optics, physics educators, and anyone interested in understanding light behavior at interfaces, particularly in relation to Snell's Law and refractive indices.

Sith Lord 13
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Homework Statement


The block of glass n = 1.5 shown in cross section in the figure (Intro 1 figure) is surrounded by air. A ray of light enters the block at its left-hand face with incident angle Θ1 and reemerges into the air from the right-hand face directed parallel to the block's base.
Determine Θ1

http://session.masteringphysics.com/problemAsset/1090003/2/GIANCOLI.ch32.p46.jpg

Homework Equations


n1 sin Θ1 = n2 sin Θ2 = n1 sin Θ3

The Attempt at a Solution


3. n1 sin Θ1 =n2 sin Θ2 = n1 sin Θ3
n1 =1, n2=1.5, Θ3=45
1 sin 45 = 1.5 sin(x) x= 28.125
1.5 sin 28.125 = 1 sin(x) x = 45
 
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Sith Lord 13 said:
n1 sin Θ1 =n2 sin Θ2 = n1 sin Θ3
n1 =1, n2=1.5, Θ3=45
1 sin 45 = 1.5 sin(x) x= 28.125
1.5 sin 28.125 = 1 sin(x) x = 45

Hi Sith Lord 13! Welcome to PF! :smile:

Don't forget that Θ2 on the left face isn't the same as Θ2 on the right face. :wink:
 


tiny-tim said:
Hi Sith Lord 13! Welcome to PF! :smile:

Don't forget that Θ2 on the left face isn't the same as Θ2 on the right face. :wink:

Thank you.

Why aren't they the same? And how do I determine what the left is then?

Thanks
 
Sith Lord 13 said:
Why aren't they the same? And how do I determine what the left is then?

Because the left and right sides aren't parallel …

so the internal angle (to the normal) at which the same ray meets the left side isn't the same as the internal angle at which it meets the right side :smile:

just use a bit of geometry to work out how they're connected. :wink:
 

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