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The D string of a guitar vibrates at 146.8 Hz, and is 610 cm long. How...

The D string of a guitar vibrates at 146.8 Hz, and is 610 cm long. How far from the top of the string (the "zero fret", or "nut") of the guitar should a fret be to play a G (196.0 Hz)? Answer in cm. answer is 153, please show steps to get this

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f\alpha\frac{1}{l} \implies f_1l_1=f_2l_2\implies l_2=\frac{f_1\times l_1}{f_2} \\ l_2=\frac{146.8\times610}{196}=456.87 cm \\ \text{length from the nut=total length-456.87}=153.12 cm \\

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