A wire has a mass 30 g and linear density 4 × 10 –2 kg m–1. It is stretched between two rigid supports and vibrates in its fundamental mode with a frequency of 50 Hz. What is the speed of transverse waves on the wire?
Mass of the wire (M) = 30 g = 30 × 10 –3 kg. Mass per unit length of the wire (m) = 4 × 10 –2 kg m–1.
Therefore, length of the wire is
Now, for the fundamental mode, Therefore,
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