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Question

Name the factors on which the speed of the transverse waves on a string depends.


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Solution

Step1: Transverse waves

  1. Transverse wave motion is the motion of waves in which all points on a wave oscillate along paths at right angles to the direction of the wave's advance.
  2. Seismic (secondary) waves, surface ripples on water, and electromagnetic (e.g., radio and light) waves are examples of transverse waves.
  3. The main characteristics of periodic transverse waves are wavelength, crest, trough, amplitude, expansion, and compression.

Step2: The speed of the transverse waves of a string depends on

  1. We know, v=μT, where v= speed of transverse wave, μ= linear mass density, T= tension in the string,
  2. Thus the speed of a transverse wave v in a stretched string depends on the tension T in the string and linear mass density (mass per unit length ) μ.

Thus, the speed of the transverse waves on a string depends on the tension in the string and the linear mass density of the string.


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