A particular guitar wire is 30.0cm long and vibrates

Question:

A particular guitar wire is $30.0 \mathrm{~cm}$ long and vibrates at a frequency of $196 \mathrm{~Hz}$ when no finger is placed on it. The next higher notes on the scale are $220 \mathrm{~Hz}, 247 \mathrm{~Hz}, 262 \mathrm{~Hz}$ and $294 \mathrm{~Hz}$. How far from the end of the string must the finger be placed to play these notes?

Solution:

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