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A sine wave is travelling in a medium.  A particular particle has zero displacement at a certain instant.  The particle closest to its having zero displacement is at a distance

Question

A sine wave is travelling in a medium.  A particular particle has zero displacement at a certain instant.  The particle closest to its having zero displacement is at a distance

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Solution

The question seems to be incomplete. However, I can tell you that in a sine wave, the particles closest to a particle at zero displacement (at a certain instant) would be either half a wavelength (λ/2) away or one full wavelength (λ) away. This is because a sine wave repeats every full wavelength.

Here's the step by step explanation:

  1. A sine wave is a continuous wave that oscillates above and below an equilibrium position in a regular manner.

  2. The displacement of a particle in a medium from its equilibrium position is described by the sine wave.

  3. If a particle has zero displacement (i.e., it's at the equilibrium position), then the next particle that also has zero displacement can be found either half a wavelength or a full wavelength away.

  4. This is because the sine wave repeats its pattern every full wavelength. So, every full wavelength (or every half wavelength), the displacement goes back to zero.

Please provide the complete question for a more accurate answer.

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