Calculating Angle of Refraction Using Snell's Law

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SUMMARY

The discussion focuses on calculating the angle of refraction using Snell's Law, specifically for a ray of light transitioning between a gas (n = 1.00), a solid (n = 1.84), and a liquid (n = 1.61). The correct angle of incidence is determined to be 35 degrees, leading to a calculated angle of refraction of 18.2 degrees when transitioning from gas to solid, and 20.9 degrees when moving from solid to liquid. The participants clarify the correct application of Snell's Law, emphasizing the importance of using the angle of incidence accurately.

PREREQUISITES
  • Understanding of Snell's Law and its formula: (n1)(sin θ1) = (n2)(sin θ2)
  • Knowledge of refractive indices for different media (e.g., gas, solid, liquid)
  • Basic trigonometry, particularly sine functions and angle calculations
  • Familiarity with the concept of angle of incidence and its relation to the normal line
NEXT STEPS
  • Study the derivation and applications of Snell's Law in optics
  • Explore the concept of total internal reflection and its conditions
  • Learn about the refractive indices of various materials and their significance in optics
  • Practice solving problems involving multiple media transitions using Snell's Law
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Students studying physics, particularly those focusing on optics, as well as educators and anyone interested in understanding light behavior at the interface of different media.

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Homework Statement


The figure (http://i43.tinypic.com/2dt5e2e.jpg") shows a ray of light traveling through a gas (n = 1.00), a solid (n = 1.84), and a liquid (n = 1.61). What is the angle θ made by the ray as it enters the liquid?

Homework Equations


(n1)(sin θ1)=(n2)(sin θ2)

The Attempt at a Solution


(1.00) (sin 90-35) = (1.84) (sin θ)
θ = 26.4 degrees

(1.84) (sin 26.4) = (1.61) (sin θ)
θ = 30.5 degrees
 
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(1.00) (sin 90-35) = (1.84) (sin θ)
This is wrong. The angle of incidence is the angle made on the incident ray with the normal.
 
Would I just use sin 35 then? I'm confused. :frown:
 
yes.
 
Thanks! I'll try it again:

(1.00) (sin 35) = (1.84) (sin θ)
θ = 18.2 degrees

(1.84) (sin 18.2) = (1.61) (sin θ)
θ = 20.9 degrees
 
It is correct.
 

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