Angle of incidence and refraction

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SUMMARY

The discussion focuses on the formulas related to the sine of the angle of incidence, the sine of the angle of refraction, and the index of refraction, all of which are derived from Snell's Law. Users are reminded that the index of refraction can be calculated as the ratio of the sine of the angle of incidence to the sine of the angle of refraction. A practical method to calculate the sine of an angle involves using a right triangle or consulting a trigonometric table. The conversation emphasizes the importance of understanding these concepts for accurate calculations in optics.

PREREQUISITES
  • Understanding of Snell's Law
  • Basic trigonometry, specifically sine functions
  • Knowledge of right triangles and their properties
  • Familiarity with the concept of refractive index
NEXT STEPS
  • Study the derivation and applications of Snell's Law
  • Learn how to calculate sine values using a scientific calculator
  • Explore the relationship between angles and refractive indices in different media
  • Investigate practical applications of refraction in optics and photography
USEFUL FOR

Students, educators, and professionals in physics, optics, and engineering who require a clear understanding of light behavior at interfaces between different media.

Zelko
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Hello PF users hope all is well!
I need a reminder of the formulas needed in order to get

"Sine of angle of incidence"

"Sine of angle of refraction"

And "Index of refraction".

The only information I have available now is

"Angle of incidence" And "Angle of refraction"

I'm guessing they're all along the lines of Snell's law
 
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Zelko said:
Hello PF users hope all is well!
I need a reminder of the formulas needed in order to get

"Sine of angle of incidence"

"Sine of angle of refraction"

And "Index of refraction".

The only information I have available now is

"Angle of incidence" And "Angle of refraction"

I'm guessing they're all along the lines of Snell's law

i hope you wish to know about calculating the refractive index of a medium through the info about angle of incidence and angle of refraction.
what is snell's law? and how it is applied?
and how to calculate sine of an angle.
its simple to draw a right angle triangle with base angle 'equal to angle of your choice' and take the ratio of perpendicular length with hypoteneuse , then you get the sine of that angle.
or go to the trigonometric table of sine of the angles and get values and calculate index of refraction = ratio of sine of the angle of incidence and refraction.
 
Thank you for the help, I can clearly recall how to calculate it.
 

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