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

Determine the fundamental frequency of vibration if the speed of a transverse wave on a stretched string of length 1 m is 60 m s ⁻¹ .

Options

  1. A30 Hz
  2. B60 Hz
  3. C15 Hz
  4. D120 Hz

Correct answer

A. 30 Hz

Step-by-step solution

The fundamental frequency of a stretched string fixed at both ends is given by f = v 2L , where v is the speed of the transverse wave and L is the length of the string. Given v = 60 m s ⁻¹ and L = 1 m . Substituting the values, we get f = 60 2 1 = 30 Hz .

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