what is the S,I unit of refractive Index?

Dear Student

 
The refractive index or index of refraction of a substance is a measure of the speed of light in that substance. It is expressed as a ratio of the speed of light in vacuum relative to that in the considered medium.
A simple, mathematical description of refractive index is as follows:
 
Clearly, refractice index is a ratio and thus doess not have a unit. It is just a number.

 Best wishes!!

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