For a particular type of wave, in a specified medium, the multiple of the two is a constant.
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Speed = frequency x wavelength.
wave length and frequency are the product of the wave speed, so the wave speed is a constant variable and the other two are inversely proportional the wave length increases, as the frequency decreases
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.
That depends, what wave you are talking about. The general relationship is: speed (of the wave) = frequency x wavelength. Solving for frequency: frequency = speed / wavelength If you are talking about an electromagnetic wave in a vacuum, the speed is about 300,000,000 meters/second. Other waves, however, can have quite different speeds.
Speed = (frequency) times (wavelength) Frequency = (speed) divided by (wavelength) Wavelength = (speed) divided by (frequency)