Does Wave Speed Indicate Medium Density?

[StaticShock]

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.

 

[nazgjunk]

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.

 

[quicknote]

Your thinking is correct. In this scenario, the wave's frequency remains constant while its velocity changes. This indicates that the medium is indeed lighter, as a decrease in velocity typically corresponds to a decrease in density. As a scientist, we must always consider all factors and analyze the data before making a conclusion. In this case, it is important to also consider other variables such as the tension and thickness of the wire before making a definitive statement about the medium's weight.