Submerged Light, Refraction Snells law maybe?

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SUMMARY

The discussion focuses on calculating the radius of the circle from which light escapes from a liquid with an index of refraction of 1.39, submerged 2.70 m beneath the surface. The key principle involved is Snell's Law, which governs the refraction of light at the interface between two media. The user initially struggled with the problem but later grasped the concept of total internal reflection as it relates to Snell's Law. This understanding is crucial for solving the problem effectively.

PREREQUISITES
  • Understanding of Snell's Law and its application in optics.
  • Knowledge of the concept of total internal reflection.
  • Familiarity with the index of refraction and its significance in light behavior.
  • Basic principles of geometry related to circles and angles.
NEXT STEPS
  • Research the mathematical derivation of Snell's Law.
  • Explore the conditions for total internal reflection in different media.
  • Learn how to calculate the critical angle for light transitioning from a denser to a less dense medium.
  • Investigate practical applications of refraction and total internal reflection in optical devices.
USEFUL FOR

Students studying optics, physics enthusiasts, and educators looking to deepen their understanding of light behavior in different media.

bmb2009
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Homework Statement




A green light is submerged 2.70 m beneath the surface of a liquid with an index of refraction 1.39. What is the radius of the circle from which light escapes from the liquid into the air above the surface?

Homework Equations


Honestly I didn't even know where to start with this one... any guidance on what to do ?

Thanks!


The Attempt at a Solution

 
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You correctly mention Snell's law in the title. Do you understand how it leads to total internal reflection?
 
Just did some more research and i figured it out.. thank you!
 

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