Refractive indices of kerosene,turpentine,and water are $1.44$,$1.47$,and $1.33$ respectively. Through which of these media does light travel the fastest? Why?

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(WATER) The refractive index $(n)$ of a medium is defined by the formula $n = \frac{c}{v}$,where $c$ is the speed of light in a vacuum and $v$ is the speed of light in the given medium.
Since $c$ is a constant,the relationship between speed and refractive index is $v = \frac{c}{n}$,which implies $v \propto \frac{1}{n}$.
This means that the speed of light is inversely proportional to the refractive index of the medium.
Comparing the given refractive indices: Water $(1.33)$ < Kerosene $(1.44)$ < Turpentine $(1.47)$.
Since water has the lowest refractive index among the three,light travels the fastest through water.

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