Index of refraction related to wavelength & frequency

This means that shorter wavelengths (such as violet light) will have a larger index of refraction and will be bent more than longer wavelengths (such as red light). In summary, the index of refraction is inversely proportional to the wavelength, meaning that shorter wavelengths will have a larger index of refraction and will be bent more than longer wavelengths.
  • #1
reshmaji
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I'm going through the Light & Optics chapter of Kaplan MCAT prep material & am having a hard time conceptually understanding the relationship between index of refraction & wavelength or with frequency.

It says in the book that n = c/v, & "when the speed of the light wave varies with wavelength, a material exhibits dispersion", then goes on to describe white light dispersion by a prism. Here is where I get confused, it continues to state that "violet light 'sees' a greater index of refraction than red does & so is bent to a greater extent"

The book also clearly indicates that larger f = smaller λ = larger n = more bending (e.g. for violet light relative to red). How is that so? Considering that v = fλ, smaller λ corresponds to smaller v & so by n = c/v it also corresponds to larger n & more bending, but shouldn't larger f = larger v = smaller n??

Any help would be appreciated! :)
 
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  • #2
This is a good question. The frequency of the light doesn't actually change when the light crosses a boundary, only the wavelength does. Thus n = c/v = c/(fλ) and is thus inversely proportional to the wavelength.
 
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Likes Mohab Jamal

1. What is the index of refraction?

The index of refraction is a measure of how much light is bent, or refracted, when it passes through a certain material. It is a ratio of the speed of light in a vacuum to the speed of light in the material, and is unique to each material.

2. How is the index of refraction related to wavelength?

The index of refraction is inversely proportional to the wavelength of light passing through a material. This means that as the wavelength increases, the index of refraction decreases, and vice versa.

3. How does the index of refraction affect the speed of light?

The index of refraction affects the speed of light by slowing it down as it passes through a material. This is because light travels at different speeds in different materials, and the index of refraction is a measure of this difference.

4. What is the relationship between index of refraction and frequency?

The index of refraction is directly proportional to the frequency of light passing through a material. This means that as the frequency increases, the index of refraction also increases, and vice versa.

5. How is the index of refraction used in practical applications?

The index of refraction is used in various applications such as designing lenses for glasses or cameras, determining the quality of gemstones, and in industries such as telecommunications and fiber optics where the bending of light is important in transmitting signals. It is also used in scientific research to understand the properties of different materials.

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