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On passing from one medium to another, the frequency of any wave stays constant. The wavelength changes such that the new wavelength equals the old wavelength multiplied by the old refractive index divided by the new refractive index.

Lnew = Lold x (Nold/Nnew)

Where L is the wavelength and N is the refractive index.

The refractive index is a property related to wave velocity, which will vary in different mediums.

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