Q23 of 38 Page 83

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?

The refractive index of a medium is related to the speed of light by the following relation:


n = c/ v where n is the refractive index


c is the speed of light


v is the velocity of the light in the medium


The expression of refractive index of a medium w.r.t another medium in terms of speed of light in these two media is as follows:


Let light travels from a medium say air to a medium 1, then the refractive index of medium 1 can be written as:


……..(1)


When light rays are travelling from air to a medium 2, then the refractive index of medium 2 can be written as:


……….(2)


Dividing equation (2) by equation (1), we get



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