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

A travelling wave is passing along a string in the positive x -direction with a wave speed of 20 cm s ⁻¹ . The transverse displacements of the particles of the string at t = 0 are plotted in the associated figure. Determine the frequency of the wave.

Options

  1. A5 Hz
  2. B10 Hz
  3. C2.5 Hz
  4. D80 Hz

Correct answer

A. 5 Hz

Step-by-step solution

From the given displacement-position graph at t = 0 , the wave completes one full cycle over a distance of 4 cm . Thus, the wavelength of the wave is = 4 cm . The wave speed is given as v = 20 cm s ⁻¹ . The frequency f of the wave is related to the wave speed and wavelength by the formula: v = f Substituting the given values, we get: f = v = 20 cm s ⁻¹ 4 cm = 5 Hz

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