Learn how to solve optics questions with 5 degree ray angles | Homework Help

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SUMMARY

The discussion focuses on solving optics problems involving ray angles, specifically addressing a scenario where an object is submerged 1.2 meters below the surface of a pool. The key equation used is the lens formula, 1/p + 1/q = 1/f, alongside Snell's Law, n1 sin(theta) = n2 sin(theta2). The apparent depth of the object, calculated using a ray leaving at a 5-degree angle to the normal, is determined to be 0.9 meters. The choice of a small angle, such as 5 degrees, is emphasized for simplification in calculations.

PREREQUISITES
  • Understanding of Snell's Law in optics
  • Familiarity with the lens formula (1/p + 1/q = 1/f)
  • Basic knowledge of ray diagrams in optics
  • Concept of apparent depth in fluid optics
NEXT STEPS
  • Study Snell's Law applications in different media
  • Learn how to construct ray diagrams for various angles
  • Explore the concept of apparent depth in more complex scenarios
  • Practice solving optics problems involving refraction and angles
USEFUL FOR

This discussion is beneficial for students studying optics, particularly those tackling homework problems related to refraction and ray diagrams. It is also useful for educators seeking to explain concepts of apparent depth and ray behavior in fluids.

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Homework Statement


An object is 1.2m below the surface of a pool. By using a ray that leaves the object at 5 degrees to the normal, find the apparent depth of the object. Assume the image is located on the normal


Homework Equations



1/p+1/q=1/f

n1sintheta=n2sintheta2

The Attempt at a Solution



I have no idea how to approach this question all I need is a start then ill solve it.

The answer is 0.9m but I have no idea how to get there.
 
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hi link107! :smile:

they suggest 5° because the result will be the same no matter what angle you choose, provided it's small enough so that tan is approximately the same as sin :wink:

so just draw a ray :smile:
 

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