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Question: Answered & Verified by Expert
A particle on the trough of a wave at any instant will come to the mean position after a time $(T=$ time period $)$
PhysicsWaves and SoundCOMEDKCOMEDK 2017
Options:
  • A $\frac{T}{2}$
  • B $\frac{T}{4}$
  • C $T$
  • D $2 T$
Solution:
2772 Upvotes Verified Answer
The correct answer is: $\frac{T}{4}$
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
$T^{\prime}=\frac{T / 2}{2}=\frac{T}{4}$

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