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please prove the relation refractive index is inversely proportional to wavelength in a given medium

please prove the relation refractive index is inversely proportional to wavelength in  a given medium 

Grade:

1 Answers

Arun
25763 Points
2 years ago

Refractive index n = c/v

where c is the velocity of light in vacuum.

v is the velocity of light in the medium.

v=fλ

where f is the frequency

λ is the wavelength.

substituting these values in the refractive index equation

n = c/fλ

Hence refractive index is inversely proportional to wavelength.

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