The refractive index of a medium is mu and th | vedclass

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Question

(C) The refractive index $\mu$ of a medium is defined as the ratio of the speed of light in a vacuum $(c)$ to the speed of light in the medium $(v)$:

Vedclass · Accepted Answer

$\mu \propto \frac{1}{\lambda}$

Vedclass · Answer

(C) The refractive index $\mu$ of a medium is defined as the ratio of the speed of light in a vacuum $(c)$ to the speed of light in the medium $(v)$: $\mu = \frac{c}{v}$.Since the frequency $(f)$ of light remains constant when it travels from one medium to another,we can express the speeds as $c = f \lambda_0$ and $v = f \lambda$,where $\lambda_0$ is the wavelength in a vacuum and $\lambda$ is the wavelength in the medium.Substituting these into the refractive index formula: $\mu = \frac{f \lambda_0}{f \lambda} = \frac{\lambda_0}{\lambda}$.Since $\lambda_0$ (wavelength in vacuum) is a constant,it follows that $\mu \propto \frac{1}{\lambda}$.Therefore,the correct option is $C$.

The refractive index of a medium is $\mu$ and the wavelength of light in that medium is $\lambda$. Which of the following proportionality relations is correct?

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