Does Wave Speed Indicate Medium Density?

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Wave speed is influenced by the medium's density, with a wave traveling faster in denser materials. In the given scenario, a wave travels at 500 m/s in a heavier wire and slows to 400 m/s in a lighter wire. The decrease in speed indicates that the lighter wire has a lower density compared to the heavier wire. While the frequency remains constant, the wavelength changes inversely with wave speed. Therefore, the lighter wire indeed suggests a lower density medium.
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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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