Question
A sine wave is travelling in a medium. A particular particle has zero displacement at a certain instant. The particle closest to it having zero displacement is at a distance:
  1. $\frac{\lambda}{4}$
  2. $\frac{\lambda}{3}$
  3. $\frac{\lambda}{2}$
  4. $\lambda.$

Answer

  1. $\frac{\lambda}{2}$
Explanation:
A sine wave has a maxima and a minima and the particle displacement has phase difference of $\pi$ radians. Therefore, applying similar argument we can say that if a particular particle has zero displacement at a certain instant. then the particle closest to it having zero displacement is at a distance is equal to $\frac{\lambda}{2}.$

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