How to Calculate the Index of Refraction of Acetone?

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Homework Help Overview

The discussion revolves around calculating the index of refraction of acetone based on measurements of light refraction from acetone into air at specific angles of incidence and refraction.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the application of Snell's law and question the need for the index of refraction of air. There are discussions about the constants involved and the correct application of the formula.

Discussion Status

Participants have provided guidance on using Snell's law and clarified the assumption that the index of refraction for air can be approximated as 1. Some participants are verifying their understanding of the calculations involved.

Contextual Notes

There is uncertainty regarding the speed of light in acetone and the validity of the provided index of refraction value found online. Participants are also navigating the implications of using approximations for the index of refraction of air.

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Homework Statement



A pair of students measure the refraction of light in passing from acetone into air for several angles. When the angle of incidence is 30, the angle of refraction is 42.
(a) What is the index of refraction n of the acetone?


Homework Equations



n=c/v


The Attempt at a Solution



i am not sure if there is another way to calculate the index of refraction. i can't find v (speed of light in acetone) so i don't think the provided equation will work. is there another way to calculate it? i also searched up google for index of refraction for acetone and it gave me 1.36 but even that's not correct. any ideas?
 
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You will find your answer by googling Snells law
 
ok so snelll's law says sim(theta1) /sin(theta2) = n2/n1. wouldn't i still need to know the index of refraction for air? or is that a constant that is usually given?
 
You will find your answer by googling index of refraction for air.
 
kevinf said:
ok so snelll's law says sim(theta1) /sin(theta2) = n2/n1. wouldn't i still need to know the index of refraction for air? or is that a constant that is usually given?

The refractive index of vacuum is 1 and the refractive index of air is slightly higher,the difference,however, is so very small that we take the refractive index of air as being 1.
 
so just to make sure it would be sin(30)/sin(42) = n2/1? i just want to make sure since this is my last try
 
sin42/sin30.This gives the refractive index of acetone from air.
 
so sin(42)/sin(30) = n2/1? so it should be about 1.34 right?
 
kevinf said:
so sin(42)/sin(30) = n2/1? so it should be about 1.34 right?

Yes.:biggrin:
 

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