Solve Light Refraction Homework: Angle of Sunlight in Water

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SUMMARY

The discussion centers on solving a light refraction problem involving the angle of sunlight as it enters water. The index of refraction for water is established at 1.33, and the angle of sunlight observed underwater is 18.7° with the vertical. The correct approach utilizes Snell's Law, expressed as n1sin(theta1) = n2sin(theta2), to determine the angle of incidence as sunlight enters the water. The participant initially misinterpreted the angle's reference point but later clarified that the 18.7° angle pertains to the underwater observation.

PREREQUISITES
  • Understanding of Snell's Law in optics
  • Knowledge of the index of refraction
  • Basic trigonometry, particularly angle conversions
  • Familiarity with light behavior at media boundaries
NEXT STEPS
  • Study the application of Snell's Law in various mediums
  • Learn about the index of refraction for different materials
  • Explore angle conversion techniques in trigonometry
  • Investigate practical examples of light refraction in real-world scenarios
USEFUL FOR

Students studying physics, particularly those focusing on optics, as well as educators seeking to clarify concepts related to light behavior in different media.

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Homework Statement


An underwater swimmer observes that a beam of sunlight in the water makes an angle of 18.7° with the vertical. The index of refraction for water is equal to 1.33. Assuming the surface of the water is level, determine the beam's angle as it enters the water.


Homework Equations



n1sin(theta1)=n2sin(theta2)


The Attempt at a Solution



I tried using different angles but I can't seem to get the correct answer. At first I used 18.7 degrees and found that to be incorrect. Than I thought that 18.7 might not correspond since it is made with the vertical and not the horizontal, so I used 90-18.7= 71.3 degrees but that didnt work either. I am not sure if I am using the wrong equation or if I am misreading the question.
 
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Nevermind I found my mistake. I didn't realize the 18.7 degree angle was after it already was in the water. Thanks anyway.
 

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