A string 2.0 m long and fixed at its ends is driven by a 240 H z vibrator. The string vibrates in its third harmonic mode. The speed of the wave and its fundamental frequency is

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For a string fixed at both the ends, f = n 2 L v For third harmonic, 240 = 3 2 ( 2 ) v ⇒ v = 240 × 4 3 = 320 m s - 1 Fundamental frequency f 0 = 1 2 L v = 1 4 × 320 = 80 H z

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