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# Waves - pitch watch

1. Speed c of progressive waves on a wire varies with tension T, in accordance with equation c = (T/u)^1/2
Use this formula to explain why a nylon wire and a steel wire of the same length, diameter, and tension produce notes of different pitch. State with a reason which wire would produce the higher pitch.

My attempt:

pitch of a note corresponds to frequency and c = frequency x wavelength

wires have different masses so different mass per unit lengths therefore different pitch as everything else is constant

Nylon has lower mass (assumption) therefore lower mass per unit length corresponding to higher frequency and higher pitch

Steel has higher mass therefore higher mass per unit length corresponding to lower frequency and lower pitch

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