(Solution) - A 50 cm long wire fixed at both ends vibrates with a -(2025 Original AI-Free Solution)

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A 50-cm-long wire fixed at both ends vibrates with a fundamental frequency f0 when the tension is 50 N. If the tension is increased to 60 N, the fundamental frequency increases by 5 Hz, and a further increase in tension to 70 N results in a fundamental frequency of (f0 + 7) Hz. Determine the mass of the wire.