How Deep Does the Penny Appear in a Layered Liquid Tank?

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SUMMARY

The discussion centers on calculating the perceived depth of a penny submerged in a layered liquid tank consisting of water and carbon tetrachloride. The water layer is 15 mm thick with a refractive index of 1.33, while the carbon tetrachloride layer is 60 mm thick with a refractive index of 1.46. Participants emphasize the importance of using ray diagrams and the principles of refraction to determine the apparent depth of the penny. The hint provided suggests leveraging previous problem-solving techniques to approach this calculation effectively.

PREREQUISITES
  • Understanding of Snell's Law for refraction
  • Familiarity with ray diagrams in optics
  • Knowledge of refractive indices and their implications
  • Basic principles of optics related to layered media
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  • Study Snell's Law and its application in multi-layered media
  • Learn how to construct and interpret ray diagrams for optical problems
  • Explore the concept of apparent depth in different refractive indices
  • Review previous problems involving layered liquids for practical examples
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Students studying optics, physics enthusiasts, and anyone involved in solving problems related to light refraction in layered media.

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Homework Statement



A 15-mm-thick layer of water (n = 1.33) floats on a 60-mm-thick layer of carbon tetrachloride (n = 1.46) in a tank. A penny lies at the bottom of the tank. At what depth below the top water surface do you perceive the penny? (Hint: Use the result and assumptions of Problem 21 and work with a ray diagram of the situation.)

How do I get started? DO I find the focal length?
 
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Have you tried following the hint? Please post what you have attempted so far.
 

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