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A steel wire of mass 4.0 g and length 80 cm is fixed at the two ends. The tension in the wire is 50 N. Find the frequency and wavelength of the fourth harmonic of the fundamental.

A steel wire of mass 4.0 g and length 80 cm is fixed at the two ends. The tension in the wire is 50 N. Find the frequency and wavelength of the fourth harmonic of the fundamental.

Grade:11

1 Answers

Aditi Chauhan
askIITians Faculty 396 Points
8 years ago
Sol. m = (4/80) g/m cm = 0.005 kg/m T = 50 N, I = 80 cm = 0.8 m V = √(T/ m) = 100 m/s Fundamental frequency f base 0 = 1/2l√(t/m) = 62.5 Hz First harmonic= 62.5 Hz V = f base4 λ base 4 ⇒ λ base 4 = (v/f base 4) =40 cm.

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