What is the index of refraction of this substance?

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Homework Help Overview

The discussion revolves around determining the index of refraction of a substance based on the speed of light in that substance relative to water. Participants are exploring the relationship between light speed and refractive index in the context of optics.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the calculation of the speed of light in the substance and its relation to the index of refraction. There are questions about the correct value of the index of refraction for water and the speed of light in that medium.

Discussion Status

Some participants have provided corrections and confirmations regarding the values of the index of refraction for water and the speed of light in that medium. There is an ongoing exploration of how to apply these values to find the index of refraction for the substance in question.

Contextual Notes

There are indications of confusion regarding the correct values for the index of refraction of water and the speed of light in water, which may affect the calculations being discussed.

vucollegeguy
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The speed of light in a certain substance is 79.0% of its value in water.
What is the index of refraction of this substance?


Here's what I've done so far:

(3.0*10^8 m/s)(0.79) because its 79%.
In water, the n=1.003.

I'm not sure where to go from there.
Any help would be greatly appreciated!
Thanks in advance.
 
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vucollegeguy said:
The speed of light in a certain substance is 79.0% of its value in water.
What is the index of refraction of this substance? Here's what I've done so far:

(3.0*10^8 m/s)(0.79) because its 79%.
In water, the n=1.003.
No, that's n for air.
n for water is ____?
The speed of light in water is ____?
 
correction:
n=1.33
and the speed of light in water (3x10^8)/(1.33)=2.25x10^8
 
That's right. And:
vucollegeguy said:
The speed of light in a certain substance is 79.0% of its value in water.
Hope that's enough.
 
Since 79%, mulitplying (2.26x10^8)(0.79)= 1.78x10^8.
Correct?
 

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