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The transverse standing wave on a string fixed at both ends is vibrating at its fundamental frequency of 250 Hz. What would be the fundamental frequency on a piece of the same string that is twice as long and has four times the tension?

I know the equation f=v/2L. and that v=(F/(m/L))^(1/2). But i don't know where to go from there.

  • Physics -

    tension 4x, so v must be 2x. Now, string twice as long halves freq, right. So the freq is 2x/2x=same freq.

    check my reasoning.

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