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please prove the relation refractive index is inversely proportional to wavelength in a given medium
Refractive index n = c/vwhere c is the velocity of light in vacuum.v is the velocity of light in the medium.v=fλwhere f is the frequencyλ is the wavelength.substituting these values in the refractive index equationn = c/fλHence refractive index is inversely proportional to wavelength.
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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