Does Wave Speed Indicate Medium Density?

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SUMMARY

The discussion centers on the relationship between wave speed and medium density, specifically in the context of a wave traveling through wires. A wave with a frequency of 200 Hz travels at 500 m/s through a heavier wire and slows to 400 m/s when a lighter wire is attached. The conclusion drawn is that the lighter medium results in a slower wave speed, indicating that the density of the medium affects wave propagation. The frequency remains constant, while the wavelength decreases as wave speed changes.

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StaticShock
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The information given is that a wave is sent though a wire with the frequency of 200 hz, and tarvles 500 m/s. A lighter witre is attached and the wave slows down to 400 m/s. Is it a higher or lighter medium?

I want to say lighter as the wavelength is decreeased, meaning it has a figher frequency, meaning a lighter medium. However, I am unsure if my thinking is correct.
 
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The frequency does not change. The wavelength does change, but so does the speed of your wave. They both change at the same rate Eg, wavelength/2, speed/2, v=a/t, so t=a/v. If both a (distance) and v (velocity) change at the same rate, t (time to cover the distance, i.e. one wave) remains the same.

However, something does change. Obviously, a heavier wire takes more energy to move, so, erm, think.

Sorry if I am not being very clear.
 

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