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

A string clamped at both ends is set into vibration by a 660 Hz tuning fork. The string vibrates in three loops, and the wave speed for a transverse wave on the string is 220 m s ⁻¹ . Determine the length of the string.

Options

  1. A150 cm
  2. B25 cm
  3. C50 cm
  4. D100 cm

Correct answer

C. 50 cm

Step-by-step solution

The wavelength of the transverse wave is given by the ratio of wave speed to frequency: = v f = 220 660 = 1 3 m For a string clamped at both ends and vibrating in n loops, the length L of the string is related to the wavelength by: L = n 2 Given that the string vibrates in 3 loops, n = 3 . Substituting the values: L = 3 1 3 2 = 1 2 m Converting the length to centimeters: L = 50 cm

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