Solve Angle Between Light Rays After Prism Refraction - Help (with prism)

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SUMMARY

The discussion focuses on calculating the angle between two parallel light rays after they pass through a prism with a refractive index of 1.48 and an incidence angle of 30.0°. The calculations involve using trigonometric functions such as arccos and arcsin to determine the angles of refraction and the resulting angle between the rays after emerging from the prism. Key points include the necessity for both rays to hit the same internal wall of the prism to remain parallel upon emergence, and the importance of ensuring that the arcsin function is applied correctly, as it cannot exceed 1.00.

PREREQUISITES
  • Understanding of Snell's Law for refraction
  • Basic trigonometry, including the use of arccos and arcsin functions
  • Familiarity with the properties of prisms and light behavior
  • Knowledge of refractive index and its implications on light paths
NEXT STEPS
  • Study Snell's Law and its application in different media
  • Learn about the geometry of prisms and light refraction
  • Explore the concept of total internal reflection and its conditions
  • Investigate the use of ray diagrams to visualize light paths through prisms
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in optics, particularly those studying the behavior of light in prisms and the principles of refraction.

shingetsunohimitsu
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34-31. The prism of the figure has a refractive index of 1.48, and the angles A are 30.0°. Two light rays m and n are parallel as they enter the prism. What is the angle between them after they emerge?
I. Set the hypotenuse of the small triangle to the left at 10cm. Gives you a triangle which is 5^2+8.66^2=10^2
II. The angle should be arccos(5/10)=60.0°
III. The angle of refraction should be arcsin(1.281)
The angle they make with the base of the prism should be arcsin(1.281)+30.0°, In which case the angle they make towards each other is as much 2(arcsin(1.281)+30.0°)


Now, the answer, I'm sure is completely off the hooks.

I'm new around, I don't have a university degree, only what's equivalent to basic high school maths and a burning passion for physics. My dabbling in the arts are meagre, and I want to ask pardon my stupid questions before anyone gets the chance to demand a pardon from me. There you go.
In all my humbleness
/Shingetsu
 
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I'm having a hard time picturing the situation. Do the two rays enter the hypotenuse of the triangle with an angle of incidence of 30 degrees? AFter they enter the prism, which internal side do they hit? Do both rays hit the same side internally?

If the two rays are parallel when coming in, and they have do not have different index of refraction, and they hit the same walls of the prism, they should emerge parallel to each other.

And you can't have an arcsin of a number greater than 1.00, so figure out what you meant by that.
 
If you can attach a figure, that will help us understand what's going on. As chi meson said, it's not clear why the emergent rays should not be parallel too - unless they don't go in the same side.

If you have absolutely no means of providing a figure, try describing the prism and the ray directions more clearly.
 

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