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## Main Question or Discussion Point

I've got a sinking feeling that the answer to this question is blatantly obvious, but here goes:

If a wave of velocity v, frequency f and wavelength [tex]\lambda[/tex] travels through a medium whose density is inversely proportional to distance, such that the further the wave travels the greater the velocity of wave, in what manner do f and [tex]\lambda[/tex] change?

Put more simply, if neither the wavelength nor the frequency is held constant and the wave speed increases, how do the wavelength and the frequency change in order to accomadate the change in velocity.

My guess at an answer is that each changes as the square root of the change in the velocity

Eg. 2v=[tex]\sqrt{2}[/tex][tex]\lambda[/tex][tex]\sqrt{2}[/tex]f

Thanks for your time

Ps. How do i get the latex commands to work without them jumping down a line?

If a wave of velocity v, frequency f and wavelength [tex]\lambda[/tex] travels through a medium whose density is inversely proportional to distance, such that the further the wave travels the greater the velocity of wave, in what manner do f and [tex]\lambda[/tex] change?

Put more simply, if neither the wavelength nor the frequency is held constant and the wave speed increases, how do the wavelength and the frequency change in order to accomadate the change in velocity.

My guess at an answer is that each changes as the square root of the change in the velocity

Eg. 2v=[tex]\sqrt{2}[/tex][tex]\lambda[/tex][tex]\sqrt{2}[/tex]f

Thanks for your time

Ps. How do i get the latex commands to work without them jumping down a line?

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