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  • How is the refractive index of a medium related to the speed of light ? Obtain an expression for refractive index of a medium with respect to another in terms of speed of light in these two media.

How is the refractive index of a medium related to the speed of light ? Obtain an expression for refractive index of a medium with respect to another in terms of speed of light in these two media.

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Answer:

The refractive index can be seen as the factor by which the speed and the wavelength of the radiation are reduced with respect to their vacuum values.

n = c/v (where n: refractive index, c=speed of light, v: velocity of light in that medium)

Refractive index of one medium in relation to a second medium is given by ratio of speed of light in second medium to speed of light in first medium.

n_{21}=\frac{v_{1}}{v_{2}}

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