How come violet, with the shortest wavelength, is refracted the most?

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Homework Help Overview

The discussion revolves around the refraction of light, specifically why violet light, which has the shortest wavelength, is refracted the most compared to red light, which has the longest wavelength. The subject area includes optics and the properties of light in different media.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between wavelength, speed of light in a medium, and the index of refraction. Questions arise regarding the dielectric properties of the medium and how they affect the behavior of different wavelengths of light.

Discussion Status

Some participants have provided partial explanations regarding the speed of light and its dependence on wavelength, while others seek clarification on advanced concepts related to Maxwell's equations. There is an ongoing exploration of the topic without a definitive consensus.

Contextual Notes

Participants reference specific texts, such as Griffiths' work, indicating a level of complexity in the discussion. The mention of advanced concepts suggests that the discussion may be constrained by the participants' varying levels of familiarity with the material.

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Homework Statement
How come violet, with the shortest wavelength, is refracted the most in water, whereas red, with the longest wavelength, is refracted the least?
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I'm reading Usborne's Introduction to Physics, which says the following:

The wedge of water bends each different wavelength by a slightly different amount. Red has the longest wavelength and is bent the least. Violet has the shortest and is bent the most.
 
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I can give you a partial answer. The speed of light in a medium depends on the dielectric properties of medium and the wavelength of the light. The red light travels faster in the medium than the violet light, so has a lower index of refraction.

For a fuller explanation of how the wavelength and dielectric properties determine the refractive index, I would have to consult Griffiths when I get home!
 
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PeroK said:
I can give you a partial answer. The speed of light in a medium depends on the dielectric properties of medium and the wavelength of the light. The red light travels faster in the medium than the violet light, so has a lower index of refraction.

For a fuller explanation of how the wavelength and dielectric properties determine the refractive index, I would have to consult Griffiths when I get home!
Awesome, is that David J. Griffith's Introduction to Electrodynamics by any chance?
 
plaguedbyfoibles said:
Awesome, is that David J. Griffith's Introduction to Electrodynamics by any chance?
Yes. As I suspected, it's quite advanced (chapter 9) and entails satisfying Maxwell's equations for a light wave obliquely incident on the boundary between two mediums. The speed in the medium and angle of refraction depend on the wavelength.
 
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