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

A heavy but uniform rope of length L is suspended from a ceiling. Determine the velocity of a transverse wave travelling on the string as a function of the distance x from the lower end.

Options

  1. Agx
  2. B2gx
  3. Cgx 2
  4. Dgx 2

Correct answer

A. gx

Step-by-step solution

Let the mass per unit length of the rope be . The tension T at a distance x from the lower end is equal to the weight of the rope below that point. T = x g The velocity v of a transverse wave on a string is given by: v = T Substituting the value of T , we get: v = x g = gx

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