A string is stretched between fixed points separated by \( 75.0 \mathrm{~cm} \). It is observed ...

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A string is stretched between fixed points separated by \( 75.0 \mathrm{~cm} \). It is observed to have resonant frequencies of 420 \( \mathrm{Hz} \) and \( 315 \mathrm{~Hz} \). There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is
a. \( 105 \mathrm{~Hz} \)
b. \( 1.05 \mathrm{~Hz} \)
c. \( 1005 \mathrm{~Hz} \)
d. \( 10.5 \mathrm{~Hz} \)
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