Question

Explain refractive index increases with decreases in wave length

Answer 1

Dear student

We know refractive index is the ratio of the velocity of light in a vacuum to its velocity in a specified medium.

n = c/v
where c= velocity of light in vacuum
n = refractive index
v = velocity of light in medium.

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Relationship between the wavelength (λ), frequency (ν*) and the speed (or velocity) of the wave (v).
Also velocity of light in medium is the product

v = ν*λ

So refractive index,n = c/(v*λ)
As Refractive index(n) increases, the wavelength(λ) decreases.
This means they both are inversely proportional.

Regards