Solving for Total Internal Reflection: Find Another Way!

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Homework Help Overview

The discussion revolves around the concept of total internal reflection in optics, specifically involving the calculation of the refractive index using the equation n1sin(θ1) = n2sin(θ2). The original poster expresses confusion regarding their calculations and seeks alternative methods to arrive at the expected result of 1.48.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants inquire about the original poster's understanding of the angles involved and the notation used for sine functions. There is a focus on clarifying the definitions of θ1 and θ2, as well as the meaning of the sine values presented.

Discussion Status

Participants are actively questioning the original poster's setup and notation, seeking to clarify the problem's parameters. There is an exploration of the conditions under which total internal reflection occurs, with some guidance provided on the need for precise definitions and calculations.

Contextual Notes

The original poster mentions a practical experiment involving a semi-circular slab and the observation of light behavior, indicating a hands-on approach to understanding the phenomenon. There is an implication of uncertainty regarding the application of the equation and its relevance to their experimental results.

Awsom Guy
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Homework Statement


To find the total internal reflection.
This equation should give me 1.48 as the answer but it doesn't. Can you please give me other ways to figure this out. I really need this.

Homework Equations


n1sin1Ө=n2sin2Ө
n1 = 1
n2 =?
sin1Ө = 44 degrees
sin2Ө = 48 degrees


The Attempt at a Solution

 
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Show us your work so far. Also the sine of an angle can't be equal to some degrees. Do you mean that \theta_1=44^\circ , \theta_2=48^\circ?
 
What precisely do you want to find, n2?

What do you mean by "sin1Ө" and "sin2Ө"? Are they the sines of Ө and two times Ө, or the sines of two different angles (Ө1 and Ө2)? Also, the sine of an angle is not measured in degrees, so what are the last two lines? Did you mean that Ө is 44 and/or 48 degrees?
 
Cyosis said:
Show us your work so far. Also the sine of an angle can't be equal to some degrees. Do you mean that \theta_1=44^\circ , \theta_2=48^\circ?

yes i do mean that.
 
CompuChip said:
What precisely do you want to find, n2?

What do you mean by "sin1Ө" and "sin2Ө"? Are they the sines of Ө and two times Ө, or the sines of two different angles (Ө1 and Ө2)? Also, the sine of an angle is not measured in degrees, so what are the last two lines? Did you mean that Ө is 44 and/or 48 degrees?

Yes that is exactly it.
 
We arranged the semi circular slab so that a single light ray strikes the curved side and passes through to the other side. We then turned the semi circular slab and turned until there was no refraction. That is when we found out when total internal reflection happened.
Now I don't know how to get the results for this. That is my problem. The above eqaution was meant to be used, but it might not be the answer.
 

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