Finding the Critical Angle of Glass in Water

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Homework Help Overview

The problem involves determining the critical angle of a specific type of glass when it is immersed in water, given that its critical angle in air is 44 degrees. The context is related to optics and the behavior of light at the interface between different media.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the critical angle formula and question its validity when the surrounding medium is not air. There is mention of Snell's Law and its relevance to the problem. Some suggest using a different equation involving refractive indices.

Discussion Status

The discussion is ongoing, with participants offering hints and exploring different equations related to the critical angle. There is no explicit consensus on the approach to take, but several lines of reasoning are being examined.

Contextual Notes

Participants note that the critical angle formula typically applies when the surrounding medium has a refractive index of 1, which raises questions about how to adapt it for water. There is also a reference to a textbook answer that may influence the discussion.

qszwdxefc
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Homework Statement


The critical angle for a special glass in air is 44 degrees. What is the critical angle if the glass is immersed in water?


Homework Equations


sin(critical angle) = 1/index of refraction

index of refraction of air is 1.00
index of refraction of water is 1.333

The Attempt at a Solution


I have no clue where to start that's the problem :S.

Just for reference, the textbook answer is 68 degrees.

Thanks.
 
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qszwdxefc said:
sin(critical angle) = 1/index of refraction
Hint: That's only true if the surrounding medium has n = 1. (How is the critical angle formula derived?)
 
Ah, Snell's Law where \theta_2 = 90^\circ.

Thanks.
 
Last edited:
Have you tried using the eqaution n1sinQ=n2sinQ
by the way the one is just saying its the first refractive index, and the Q is theta.
Maybe you could try this eqaution.
Thanks I hope that helps... :cool:

qszwdxefc said:

Homework Statement


The critical angle for a special glass in air is 44 degrees. What is the critical angle if the glass is immersed in water?


Homework Equations


sin(critical angle) = 1/index of refraction

index of refraction of air is 1.00
index of refraction of water is 1.333

The Attempt at a Solution


I have no clue where to start that's the problem :S.

Just for reference, the textbook answer is 68 degrees.

Thanks.
 

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