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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

D. 80 Hz

Step-by-step solution

From the given graph, the wavelength is the distance over which the wave pattern repeats. Observing the x -axis, one complete cycle of the wave spans from x = 0 to x = 4 cm . Therefore, the wavelength = 4 cm . The wave number k is defined as: k = 2 Substituting the value of : k = 2 4 = 2 cm ⁻¹ Using 3.14 : k 3.14 2 = 1.57 cm ⁻¹ Rounding to one decimal place, we get 1.6 cm ⁻¹ .

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