Refractive index as a function of the concentration of a sugar solution

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SUMMARY

The forum discussion centers on an experiment investigating the refractive index of water as a function of light wavelength and sugar concentration. The results indicate that while the relationship between sugar concentration and refractive index appears linear for small changes, this may not hold true for larger concentrations due to the potential for negative values at extended wavelengths. Participants question the assumption of linearity in these relationships, highlighting the complexity of optical properties in solutions.

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  • Understanding of refractive index and its measurement techniques
  • Basic knowledge of optical physics and light wavelength
  • Familiarity with sugar solutions and their properties
  • Experience with graph interpretation and data analysis
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  • Research the relationship between refractive index and concentration in various solutions
  • Explore the concept of non-linear relationships in optical measurements
  • Learn about the limitations of linear approximations in physical experiments
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Students and researchers in physics, chemists studying solution properties, and anyone interested in the optical characteristics of sugar solutions.

RickRazor
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We recently performed an experiment with the idea to find refractive index of medium (water) as a function of wavelength of light. We then added some sugar to see how the refractive index changes with concentration of sugar solution. We got the following graphs.

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Are the relationships actually linear? Or are these just limiting cases?
 
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Nearly nothing is exactly linear, but for small changes most things are approximately linear.

With the wavelength it is easy to see that it cannot continue like that - you would get negative values for very long wavelengths.
 
RickRazor said:
We recently performed an experiment with the idea to find refractive index of medium (water) as a function of wavelength of light. We then added some sugar to see how the refractive index changes with concentration of sugar solution.

Are the relationships actually linear?

Why did you assume there is a linear relationship?
 

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