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COMEDK · Physics · 16. Waves and Sound

A particle on the trough of a wave at any instant will come to the mean position after a time \((T=\) time period \()\)

  1. A \(\frac{T}{2}\)
  2. B \(\frac{T}{4}\)
  3. C \(T\)
  4. D \(2 T\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{T}{4}\)

Step-by-step Solution

Detailed explanation

As total time period of a wave is \(T\). The wave motion can be shown as From figure, it can be seen that time taken by the particle to move from trough to its mean position i.e., from \(R\) to \(S\) is \(T^{\prime}=\frac{T / 2}{2}=\frac{T}{4}\)