A guitar string has a linear mass density of 0.004 kg/m, a tension of 100 N, and is supposed to have a fundamental frequency of 110 Hz. When a tuning fork of that frequency is sounded while the string is plucked, a beat frequency of 4 Hz is heard. The peg holding the string is loosened, decreasing the tension, and the beat frequency increases. Before it was loosened and while it still had a tension of 100 N, The frequency of the guitar string was _________ Hz. The length of the guitar string is most nearly __________ cm To achieve the correct pitch of 110 Hz, the tension should be adjusted to ___________
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