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Concepts Of Physics MCQ Edition [Volume 1]PhysicsWave Motion and Waves on a String

Vibrating in its second harmonic, a sonometer wire with a length of 1.50 m between the bridges is in resonance with a tuning fork of frequency 256 Hz . Determine the speed of the transverse wave on the wire.

Options

  1. A768 m/s
  2. B384 m/s
  3. C512 m/s
  4. D192 m/s

Correct answer

B. 384 m/s

Step-by-step solution

Given length of the wire, L = 1.50 m and frequency, f = 256 Hz . For a wire vibrating in its second harmonic ( n = 2 ), the frequency is given by f = n v 2 L . Substituting n = 2 , we get f = 2 v 2 L = v L . The speed of the transverse wave is v = f L . Substituting the given values, v = 256 1.50 = 384 m/s .

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