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Wavelength = (speed) divided by (frequency) Frequency = (speed) divided by (wavelength) Speed = (frequency) times (wavelength)
Speed = frequency x wavelength.
Speed = (frequency) times (wavelength) Frequency = (speed) divided by (wavelength) Wavelength = (speed) divided by (frequency)
frequency = speed of light/wavelength
There's no relationship between the frequency and the medium. The frequency of a wave is determined by the source. Once the wave leaves the source and sets out on its journey, the frequency doesn't change, regardless of what kind of stuff the wave encounters and has to travel through.