A wire having a linear mass density 5.0 × 1 0 − 3 kg/m is stretched between two rigid supports with a tension of 450 N. The wire resonates at a frequency of 420 Hz. The next higher frequency at which

Question

A wire having a linear mass density 5.0 × 1 0 − 3 kg/m is stretched between two rigid supports with a tension of 450 N. The wire resonates at a frequency of 420 Hz. The next higher frequency at which the same wire resonates is 480 Hz. The length of the wire is:

TestHub · Accepted Answer

v = 450/5 × 1 0 − 3 ​ = 300 m/s. Adjacent resonances differ by v /2 L = 60 Hz, so L = 300/120 = 2.5 m.

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