How is the refractive index of a material related to velocity of light in vacuum or air and the velocity of light in a given medium?

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Solution

When a light travels from one medium to another, its velocity and wavelength changes but its frequency remains the same.
Let say, light travels from air to a medium having refractive index $n$ .
Speed of light in air is $c$ .
Then, speed of light in the given medium is given by $v_{m} = \frac{c}{n}$

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