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

A wave pulse travelling along a two-piece string experiences partial transmission and partial reflection at the junction. The shape of the reflected wave is inverted relative to the incident wave. Assuming the incident wave possesses a wavelength and the transmitted wave possesses a wavelength ' ,

Options

  1. A' <
  2. B' >
  3. Cthe relationship between and ' cannot be determined
  4. D' =

Correct answer

A. ' <

Step-by-step solution

When a wave pulse reflects from a junction and the reflected wave is inverted, it implies that the wave is reflecting from a denser medium. Thus, the second string is denser than the first string. Let ₁ and ₂ be the linear mass densities of the first and second strings respectively. Since the reflected wave is inverted, ₂ > ₁ . The speed of a transverse wave on a string is given by v = T . Since the tension T is uniform across the two-piece string, the speed of the wave in the second string is less than that in the

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