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For a particular type of wave in a particular medium why must f and lambda be inversely proportional.

Frequency deals with the number of waves per second, while wavelength deals with the distance from peak to peak. It would be inversely proportional because lambda deals with horizontal displacement and f deals with just the number of waves per time

Why is it that wavelength and frequency are inversely proportional to one another. In the book they just show the rearrangement of the equation but give no reasoning.

Thank you

Velocity of the wave = frequency x wavelength. The velocity stays the same. So, if you increase the frequency, you must decrease the wavelength to keep v constant. And vice versa. That is what is meant by inversely proportional: as you increase one, you must decrease the other. I hope this helps!

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